diff options
57 files changed, 2166 insertions, 3268 deletions
diff --git a/NuttX b/NuttX -Subproject dbcccb2455d759b789d549d25e1fbf489b2d3c8 +Subproject 574bac488f384ddaa344378e25653c27124a2b6 @@ -1,6 +1,6 @@ ## PX4 Flight Control Stack and Middleware ## -[](https://travis-ci.org/PX4/Firmware) +[](https://travis-ci.org/PX4/Firmware) [](https://scan.coverity.com/projects/3966?tab=overview) [](https://gitter.im/PX4/Firmware?utm_source=badge&utm_medium=badge&utm_campaign=pr-badge&utm_content=badge) @@ -21,7 +21,8 @@ Please refer to the [user documentation](https://pixhawk.org/users/start) for fl ### Developers ### Contributing guide: -http://px4.io/dev/contributing + * [CONTRIBUTING.md](https://github.com/PX4/Firmware/blob/master/CONTRIBUTING.md) + * [PX4 Contribution Guide](http://px4.io/dev/contributing) Developer guide: http://px4.io/dev/ diff --git a/ROMFS/px4fmu_common/init.d/rc.fw_apps b/ROMFS/px4fmu_common/init.d/rc.fw_apps index 9aca3fc5f..9e2d1f6ff 100644 --- a/ROMFS/px4fmu_common/init.d/rc.fw_apps +++ b/ROMFS/px4fmu_common/init.d/rc.fw_apps @@ -13,3 +13,12 @@ ekf_att_pos_estimator start # fw_att_control start fw_pos_control_l1 start + +# +# Start Land Detector +# +land_detector start fixedwing + +# +# Misc apps +# diff --git a/ROMFS/px4fmu_common/init.d/rc.logging b/ROMFS/px4fmu_common/init.d/rc.logging index 25f31a7e0..a14eb5247 100644 --- a/ROMFS/px4fmu_common/init.d/rc.logging +++ b/ROMFS/px4fmu_common/init.d/rc.logging @@ -8,7 +8,7 @@ then if ver hwcmp PX4FMU_V1 then echo "Start sdlog2 at 50Hz" - sdlog2 start -r 50 -a -b 4 -t + sdlog2 start -r 40 -a -b 3 -t else echo "Start sdlog2 at 200Hz" sdlog2 start -r 200 -a -b 22 -t diff --git a/ROMFS/px4fmu_common/init.d/rc.mc_apps b/ROMFS/px4fmu_common/init.d/rc.mc_apps index 2248b0bcd..7b29fb3a7 100644 --- a/ROMFS/px4fmu_common/init.d/rc.mc_apps +++ b/ROMFS/px4fmu_common/init.d/rc.mc_apps @@ -15,3 +15,8 @@ else mc_att_control_m start fi mc_pos_control start + +# +# Start Land Detector +# +land_detector start multicopter diff --git a/Tools/px_uploader.py b/Tools/px_uploader.py index c46f6bede..95a3d4046 100755 --- a/Tools/px_uploader.py +++ b/Tools/px_uploader.py @@ -266,18 +266,19 @@ class uploader(object): self.__getSync() return value - def __drawProgressBar(self, progress, maxVal): + def __drawProgressBar(self, label, progress, maxVal): if maxVal < progress: progress = maxVal percent = (float(progress) / float(maxVal)) * 100.0 - sys.stdout.write("\rprogress:[%-20s] %.2f%%" % ('='*int(percent/5.0), percent)) + sys.stdout.write("\r%s: [%-20s] %.1f%%" % (label, '='*int(percent/5.0), percent)) sys.stdout.flush() # send the CHIP_ERASE command and wait for the bootloader to become ready - def __erase(self): + def __erase(self, label): + print("\n", end='') self.__send(uploader.CHIP_ERASE + uploader.EOC) @@ -288,15 +289,14 @@ class uploader(object): #Draw progress bar (erase usually takes about 9 seconds to complete) estimatedTimeRemaining = deadline-time.time() if estimatedTimeRemaining >= 9.0: - self.__drawProgressBar(20.0-estimatedTimeRemaining, 9.0) + self.__drawProgressBar(label, 20.0-estimatedTimeRemaining, 9.0) else: - self.__drawProgressBar(10.0, 10.0) + self.__drawProgressBar(label, 10.0, 10.0) sys.stdout.write(" (timeout: %d seconds) " % int(deadline-time.time()) ) sys.stdout.flush() if self.__trySync(): - self.__drawProgressBar(10.0, 10.0) - sys.stdout.write("\nerase complete!\n") + self.__drawProgressBar(label, 10.0, 10.0) return; raise RuntimeError("timed out waiting for erase") @@ -350,7 +350,8 @@ class uploader(object): return [seq[i:i+length] for i in range(0, len(seq), length)] # upload code - def __program(self, fw): + def __program(self, label, fw): + print("\n", end='') code = fw.image groups = self.__split_len(code, uploader.PROG_MULTI_MAX) @@ -361,31 +362,40 @@ class uploader(object): #Print upload progress (throttled, so it does not delay upload progress) uploadProgress += 1 if uploadProgress % 256 == 0: - self.__drawProgressBar(uploadProgress, len(groups)) - self.__drawProgressBar(100, 100) - print("\nprogram complete!") + self.__drawProgressBar(label, uploadProgress, len(groups)) + self.__drawProgressBar(label, 100, 100) # verify code - def __verify_v2(self, fw): + def __verify_v2(self, label, fw): + print("\n", end='') self.__send(uploader.CHIP_VERIFY + uploader.EOC) self.__getSync() code = fw.image groups = self.__split_len(code, uploader.READ_MULTI_MAX) + verifyProgress = 0 for bytes in groups: + verifyProgress += 1 + if verifyProgress % 256 == 0: + self.__drawProgressBar(label, verifyProgress, len(groups)) if (not self.__verify_multi(bytes)): raise RuntimeError("Verification failed") + self.__drawProgressBar(label, 100, 100) - def __verify_v3(self, fw): - expect_crc = fw.crc(self.fw_maxsize) + def __verify_v3(self, label, fw): + print("\n", end='') + self.__drawProgressBar(label, 1, 100) + expect_crc = fw.crc(self.fw_maxsize) self.__send(uploader.GET_CRC + uploader.EOC) report_crc = self.__recv_int() self.__getSync() + verifyProgress = 0 if report_crc != expect_crc: print("Expected 0x%x" % expect_crc) print("Got 0x%x" % report_crc) raise RuntimeError("Program CRC failed") + self.__drawProgressBar(label, 100, 100) # get basic data about the board def identify(self): @@ -439,19 +449,16 @@ class uploader(object): except Exception: # ignore bad character encodings pass - print("erase...") - self.__erase() - - print("program...") - self.__program(fw) + + self.__erase("Erase ") + self.__program("Program", fw) - print("verify...") if self.bl_rev == 2: - self.__verify_v2(fw) + self.__verify_v2("Verify ", fw) else: - self.__verify_v3(fw) + self.__verify_v3("Verify ", fw) - print("done, rebooting.") + print("\nRebooting.\n") self.__reboot() self.port.close() diff --git a/makefiles/config_px4fmu-v2_default.mk b/makefiles/config_px4fmu-v2_default.mk index a5f996bb3..aa2e01229 100644 --- a/makefiles/config_px4fmu-v2_default.mk +++ b/makefiles/config_px4fmu-v2_default.mk @@ -71,6 +71,7 @@ MODULES += modules/navigator MODULES += modules/mavlink MODULES += modules/gpio_led MODULES += modules/uavcan +MODULES += modules/land_detector # # Estimation modules (EKF/ SO3 / other filters) diff --git a/makefiles/toolchain_gnu-arm-eabi.mk b/makefiles/toolchain_gnu-arm-eabi.mk index ef70d51f2..396980453 100644 --- a/makefiles/toolchain_gnu-arm-eabi.mk +++ b/makefiles/toolchain_gnu-arm-eabi.mk @@ -50,7 +50,7 @@ OBJDUMP = $(CROSSDEV)objdump # Check if the right version of the toolchain is available # -CROSSDEV_VER_SUPPORTED = 4.7.4 4.7.5 4.7.6 4.8.4 +CROSSDEV_VER_SUPPORTED = 4.7.4 4.7.5 4.7.6 4.8.4 4.9.3 CROSSDEV_VER_FOUND = $(shell $(CC) -dumpversion) ifeq (,$(findstring $(CROSSDEV_VER_FOUND), $(CROSSDEV_VER_SUPPORTED))) diff --git a/msg/vehicle_attitude.msg b/msg/vehicle_attitude.msg index dbfd8b6bc..98018a1df 100644 --- a/msg/vehicle_attitude.msg +++ b/msg/vehicle_attitude.msg @@ -16,20 +16,3 @@ float32[4] q # Quaternion (NED) float32[3] g_comp # Compensated gravity vector bool R_valid # Rotation matrix valid bool q_valid # Quaternion valid - -# secondary attitude for VTOL -float32 roll_sec # Roll angle (rad, Tait-Bryan, NED) -float32 pitch_sec # Pitch angle (rad, Tait-Bryan, NED) -float32 yaw_sec # Yaw angle (rad, Tait-Bryan, NED) -float32 rollspeed_sec # Roll angular speed (rad/s, Tait-Bryan, NED) -float32 pitchspeed_sec # Pitch angular speed (rad/s, Tait-Bryan, NED) -float32 yawspeed_sec # Yaw angular speed (rad/s, Tait-Bryan, NED) -float32 rollacc_sec # Roll angular accelration (rad/s, Tait-Bryan, NED) -float32 pitchacc_sec # Pitch angular acceleration (rad/s, Tait-Bryan, NED) -float32 yawacc_sec # Yaw angular acceleration (rad/s, Tait-Bryan, NED) -float32[3] rate_offsets_sec # Offsets of the body angular rates from zero -float32[9] R_sec # Rotation matrix, body to world, (Tait-Bryan, NED) -float32[4] q_sec # Quaternion (NED) -float32[3] g_comp_sec # Compensated gravity vector -bool R_valid_sec # Rotation matrix valid -bool q_valid_sec # Quaternion valid diff --git a/nuttx-configs/px4fmu-v1/nsh/defconfig b/nuttx-configs/px4fmu-v1/nsh/defconfig index fade1f0c6..a467fa605 100644 --- a/nuttx-configs/px4fmu-v1/nsh/defconfig +++ b/nuttx-configs/px4fmu-v1/nsh/defconfig @@ -417,7 +417,7 @@ CONFIG_PREALLOC_TIMERS=50 # Stack and heap information # CONFIG_IDLETHREAD_STACKSIZE=3500 -CONFIG_USERMAIN_STACKSIZE=3000 +CONFIG_USERMAIN_STACKSIZE=2600 CONFIG_PTHREAD_STACK_MIN=512 CONFIG_PTHREAD_STACK_DEFAULT=2048 @@ -719,11 +719,11 @@ CONFIG_SCHED_WORKQUEUE=y CONFIG_SCHED_HPWORK=y CONFIG_SCHED_WORKPRIORITY=192 CONFIG_SCHED_WORKPERIOD=5000 -CONFIG_SCHED_WORKSTACKSIZE=2048 +CONFIG_SCHED_WORKSTACKSIZE=1800 CONFIG_SCHED_LPWORK=y CONFIG_SCHED_LPWORKPRIORITY=50 CONFIG_SCHED_LPWORKPERIOD=50000 -CONFIG_SCHED_LPWORKSTACKSIZE=2048 +CONFIG_SCHED_LPWORKSTACKSIZE=1800 # CONFIG_LIB_KBDCODEC is not set # CONFIG_LIB_SLCDCODEC is not set diff --git a/nuttx-configs/px4fmu-v2/nsh/defconfig b/nuttx-configs/px4fmu-v2/nsh/defconfig index ac3dbe5da..9030a1f02 100644 --- a/nuttx-configs/px4fmu-v2/nsh/defconfig +++ b/nuttx-configs/px4fmu-v2/nsh/defconfig @@ -451,7 +451,7 @@ CONFIG_PREALLOC_TIMERS=50 # Stack and heap information # CONFIG_IDLETHREAD_STACKSIZE=3500 -CONFIG_USERMAIN_STACKSIZE=3000 +CONFIG_USERMAIN_STACKSIZE=2600 CONFIG_PTHREAD_STACK_MIN=512 CONFIG_PTHREAD_STACK_DEFAULT=2048 @@ -797,11 +797,11 @@ CONFIG_SCHED_WORKQUEUE=y CONFIG_SCHED_HPWORK=y CONFIG_SCHED_WORKPRIORITY=192 CONFIG_SCHED_WORKPERIOD=5000 -CONFIG_SCHED_WORKSTACKSIZE=2000 +CONFIG_SCHED_WORKSTACKSIZE=1800 CONFIG_SCHED_LPWORK=y CONFIG_SCHED_LPWORKPRIORITY=50 CONFIG_SCHED_LPWORKPERIOD=50000 -CONFIG_SCHED_LPWORKSTACKSIZE=2000 +CONFIG_SCHED_LPWORKSTACKSIZE=1800 # CONFIG_LIB_KBDCODEC is not set # CONFIG_LIB_SLCDCODEC is not set diff --git a/src/drivers/drv_mag.h b/src/drivers/drv_mag.h index 5ddf5d08e..d341e8947 100644 --- a/src/drivers/drv_mag.h +++ b/src/drivers/drv_mag.h @@ -41,9 +41,11 @@ #include <stdint.h> #include <sys/ioctl.h> +#include "drv_device.h" #include "drv_sensor.h" #include "drv_orb_dev.h" + #define MAG_DEVICE_PATH "/dev/mag" /** diff --git a/src/drivers/gps/gps_helper.cpp b/src/drivers/gps/gps_helper.cpp index 05dfc99b7..8157bc7e6 100644 --- a/src/drivers/gps/gps_helper.cpp +++ b/src/drivers/gps/gps_helper.cpp @@ -88,8 +88,6 @@ GPS_Helper::set_baudrate(const int &fd, unsigned baud) case 115200: speed = B115200; break; - warnx("try baudrate: %d\n", speed); - default: warnx("ERR: baudrate: %d\n", baud); return -EINVAL; diff --git a/src/drivers/hmc5883/hmc5883.cpp b/src/drivers/hmc5883/hmc5883.cpp index 2a10b0063..95fbed0ba 100644 --- a/src/drivers/hmc5883/hmc5883.cpp +++ b/src/drivers/hmc5883/hmc5883.cpp @@ -66,6 +66,7 @@ #include <drivers/drv_mag.h> #include <drivers/drv_hrt.h> #include <drivers/device/ringbuffer.h> +#include <drivers/drv_device.h> #include <uORB/uORB.h> #include <uORB/topics/subsystem_info.h> @@ -725,6 +726,9 @@ HMC5883::ioctl(struct file *filp, int cmd, unsigned long arg) debug("MAGIOCGEXTERNAL in main driver"); return _interface->ioctl(cmd, dummy); + case DEVIOCGDEVICEID: + return _interface->ioctl(cmd, dummy); + default: /* give it to the superclass */ return CDev::ioctl(filp, cmd, arg); @@ -1305,9 +1309,9 @@ struct hmc5883_bus_option { uint8_t busnum; HMC5883 *dev; } bus_options[] = { - { HMC5883_BUS_I2C_INTERNAL, "/dev/hmc5883_int", &HMC5883_I2C_interface, PX4_I2C_BUS_EXPANSION, NULL }, + { HMC5883_BUS_I2C_EXTERNAL, "/dev/hmc5883_ext", &HMC5883_I2C_interface, PX4_I2C_BUS_EXPANSION, NULL }, #ifdef PX4_I2C_BUS_ONBOARD - { HMC5883_BUS_I2C_EXTERNAL, "/dev/hmc5883_ext", &HMC5883_I2C_interface, PX4_I2C_BUS_ONBOARD, NULL }, + { HMC5883_BUS_I2C_INTERNAL, "/dev/hmc5883_int", &HMC5883_I2C_interface, PX4_I2C_BUS_ONBOARD, NULL }, #endif #ifdef PX4_SPIDEV_HMC { HMC5883_BUS_SPI, "/dev/hmc5883_spi", &HMC5883_SPI_interface, PX4_SPI_BUS_SENSORS, NULL }, diff --git a/src/drivers/hmc5883/hmc5883_i2c.cpp b/src/drivers/hmc5883/hmc5883_i2c.cpp index 782ea62fe..f86c1af6b 100644 --- a/src/drivers/hmc5883/hmc5883_i2c.cpp +++ b/src/drivers/hmc5883/hmc5883_i2c.cpp @@ -53,6 +53,7 @@ #include <drivers/device/i2c.h> #include <drivers/drv_mag.h> +#include <drivers/drv_device.h> #include "hmc5883.h" @@ -90,6 +91,7 @@ HMC5883_I2C_interface(int bus) HMC5883_I2C::HMC5883_I2C(int bus) : I2C("HMC5883_I2C", nullptr, bus, HMC5883L_ADDRESS, 400000) { + _device_id.devid_s.devtype = DRV_MAG_DEVTYPE_HMC5883; } HMC5883_I2C::~HMC5883_I2C() @@ -117,6 +119,9 @@ HMC5883_I2C::ioctl(unsigned operation, unsigned &arg) return 0; } + case DEVIOCGDEVICEID: + return CDev::ioctl(nullptr, operation, arg); + default: ret = -EINVAL; } diff --git a/src/drivers/hmc5883/hmc5883_spi.cpp b/src/drivers/hmc5883/hmc5883_spi.cpp index 25a2f2b40..aec990ca8 100644 --- a/src/drivers/hmc5883/hmc5883_spi.cpp +++ b/src/drivers/hmc5883/hmc5883_spi.cpp @@ -53,6 +53,7 @@ #include <drivers/device/spi.h> #include <drivers/drv_mag.h> +#include <drivers/drv_device.h> #include "hmc5883.h" #include <board_config.h> @@ -92,6 +93,7 @@ HMC5883_SPI_interface(int bus) HMC5883_SPI::HMC5883_SPI(int bus, spi_dev_e device) : SPI("HMC5883_SPI", nullptr, bus, device, SPIDEV_MODE3, 11*1000*1000 /* will be rounded to 10.4 MHz */) { + _device_id.devid_s.devtype = DRV_MAG_DEVTYPE_HMC5883; } HMC5883_SPI::~HMC5883_SPI() @@ -146,6 +148,9 @@ HMC5883_SPI::ioctl(unsigned operation, unsigned &arg) return 0; } + case DEVIOCGDEVICEID: + return CDev::ioctl(nullptr, operation, arg); + default: { ret = -EINVAL; diff --git a/src/drivers/ms5611/ms5611.h b/src/drivers/ms5611/ms5611.h index f0b3fd61d..3f1f6c473 100644 --- a/src/drivers/ms5611/ms5611.h +++ b/src/drivers/ms5611/ms5611.h @@ -37,12 +37,12 @@ * Shared defines for the ms5611 driver. */ -#define ADDR_RESET_CMD 0x1E /* write to this address to reset chip */ -#define ADDR_CMD_CONVERT_D1 0x48 /* write to this address to start temperature conversion */ -#define ADDR_CMD_CONVERT_D2 0x58 /* write to this address to start pressure conversion */ -#define ADDR_DATA 0x00 /* address of 3 bytes / 32bit pressure data */ -#define ADDR_PROM_SETUP 0xA0 /* address of 8x 2 bytes factory and calibration data */ -#define ADDR_PROM_C1 0xA2 /* address of 6x 2 bytes calibration data */ +#define ADDR_RESET_CMD 0x1E /* write to this address to reset chip */ +#define ADDR_CMD_CONVERT_D1 0x48 /* write to this address to start pressure conversion */ +#define ADDR_CMD_CONVERT_D2 0x58 /* write to this address to start temperature conversion */ +#define ADDR_DATA 0x00 /* address of 3 bytes / 32bit pressure data */ +#define ADDR_PROM_SETUP 0xA0 /* address of 8x 2 bytes factory and calibration data */ +#define ADDR_PROM_C1 0xA2 /* address of 6x 2 bytes calibration data */ /* interface ioctls */ #define IOCTL_RESET 2 diff --git a/src/drivers/px4fmu/fmu.cpp b/src/drivers/px4fmu/fmu.cpp index 436672040..112c01513 100644 --- a/src/drivers/px4fmu/fmu.cpp +++ b/src/drivers/px4fmu/fmu.cpp @@ -1,6 +1,6 @@ /**************************************************************************** * - * Copyright (C) 2012-2013 PX4 Development Team. All rights reserved. + * Copyright (C) 2012-2015 PX4 Development Team. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions @@ -1637,12 +1637,15 @@ sensor_reset(int ms) fd = open(PX4FMU_DEVICE_PATH, O_RDWR); - if (fd < 0) + if (fd < 0) { errx(1, "open fail"); + } - if (ioctl(fd, GPIO_SENSOR_RAIL_RESET, ms) < 0) - err(1, "servo arm failed"); + if (ioctl(fd, GPIO_SENSOR_RAIL_RESET, ms) < 0) { + warnx("sensor rail reset failed"); + } + close(fd); } void diff --git a/src/drivers/px4io/px4io.cpp b/src/drivers/px4io/px4io.cpp index 96ebedd83..1c9a5adc9 100644 --- a/src/drivers/px4io/px4io.cpp +++ b/src/drivers/px4io/px4io.cpp @@ -1,6 +1,6 @@ /**************************************************************************** * - * Copyright (c) 2012-2014 PX4 Development Team. All rights reserved. + * Copyright (c) 2012-2015 PX4 Development Team. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions @@ -834,7 +834,7 @@ PX4IO::init() _task = task_spawn_cmd("px4io", SCHED_DEFAULT, SCHED_PRIORITY_ACTUATOR_OUTPUTS, - 2000, + 1800, (main_t)&PX4IO::task_main_trampoline, nullptr); @@ -1102,7 +1102,7 @@ PX4IO::io_set_control_state(unsigned group) uint16_t regs[_max_actuators]; /* get controls */ - bool changed; + bool changed = false; switch (group) { case 0: @@ -1144,11 +1144,13 @@ PX4IO::io_set_control_state(unsigned group) break; } - if (!changed) + if (!changed) { return -1; + } - for (unsigned i = 0; i < _max_controls; i++) + for (unsigned i = 0; i < _max_controls; i++) { regs[i] = FLOAT_TO_REG(controls.control[i]); + } /* copy values to registers in IO */ return io_reg_set(PX4IO_PAGE_CONTROLS, group * PX4IO_PROTOCOL_MAX_CONTROL_COUNT, regs, _max_controls); @@ -1773,12 +1775,12 @@ PX4IO::print_debug() #ifdef CONFIG_ARCH_BOARD_PX4FMU_V2 int io_fd = -1; - if (io_fd < 0) { + if (io_fd <= 0) { io_fd = ::open("/dev/ttyS0", O_RDONLY | O_NONBLOCK | O_NOCTTY); } /* read IO's output */ - if (io_fd > 0) { + if (io_fd >= 0) { pollfd fds[1]; fds[0].fd = io_fd; fds[0].events = POLLIN; @@ -2278,6 +2280,7 @@ PX4IO::ioctl(file * filep, int cmd, unsigned long arg) case PWM_SERVO_GET_DISABLE_LOCKDOWN: *(unsigned *)arg = _lockdown_override; + break; case PWM_SERVO_SET_FORCE_SAFETY_OFF: /* force safety swith off */ @@ -3003,11 +3006,14 @@ monitor(void) fds[0].fd = 0; fds[0].events = POLLIN; - poll(fds, 1, 2000); + if (poll(fds, 1, 2000) < 0) { + errx(1, "poll fail"); + } if (fds[0].revents == POLLIN) { - int c; - read(0, &c, 1); + /* control logic is to cancel with any key */ + char c; + (void)read(0, &c, 1); if (cancels-- == 0) { printf("\033[2J\033[H"); /* move cursor home and clear screen */ @@ -3069,12 +3075,13 @@ lockdown(int argc, char *argv[]) if (ret > 0) { - read(0, &c, 1); + if (read(0, &c, 1) > 0) { - if (c != 'y') { - exit(0); - } else if (c == 'y') { - break; + if (c != 'y') { + exit(0); + } else if (c == 'y') { + break; + } } } @@ -3237,7 +3244,13 @@ px4io_main(int argc, char *argv[]) if (!strcmp(argv[1], "limit")) { if ((argc > 2)) { - g_dev->set_update_rate(atoi(argv[2])); + int limitrate = atoi(argv[2]); + + if (limitrate > 0) { + g_dev->set_update_rate(limitrate); + } else { + errx(1, "invalid rate: %d", limitrate); + } } else { errx(1, "missing argument (50 - 500 Hz)"); diff --git a/src/lib/mathlib/math/filter/LowPassFilter2p.cpp b/src/lib/mathlib/math/filter/LowPassFilter2p.cpp index 6f640c9f9..c709a2834 100644 --- a/src/lib/mathlib/math/filter/LowPassFilter2p.cpp +++ b/src/lib/mathlib/math/filter/LowPassFilter2p.cpp @@ -66,6 +66,7 @@ float LowPassFilter2p::apply(float sample) // no filtering return sample; } + // do the filtering float delay_element_0 = sample - _delay_element_1 * _a1 - _delay_element_2 * _a2; if (isnan(delay_element_0) || isinf(delay_element_0)) { @@ -82,7 +83,9 @@ float LowPassFilter2p::apply(float sample) } float LowPassFilter2p::reset(float sample) { - _delay_element_1 = _delay_element_2 = sample; + float dval = sample / (_b0 + _b1 + _b2); + _delay_element_1 = dval; + _delay_element_2 = dval; return apply(sample); } diff --git a/src/modules/attitude_estimator_ekf/attitude_estimator_ekf_main.cpp b/src/modules/attitude_estimator_ekf/attitude_estimator_ekf_main.cpp index fd6bd0218..86f59f0e6 100755 --- a/src/modules/attitude_estimator_ekf/attitude_estimator_ekf_main.cpp +++ b/src/modules/attitude_estimator_ekf/attitude_estimator_ekf_main.cpp @@ -595,44 +595,6 @@ const unsigned int loop_interval_alarm = 6500; // loop interval in microseconds memcpy(&att.R[0], &R.data[0][0], sizeof(att.R)); att.R_valid = true; - // compute secondary attitude - math::Matrix<3, 3> R_adapted; //modified rotation matrix - R_adapted = R; - - //move z to x - R_adapted(0, 0) = R(0, 2); - R_adapted(1, 0) = R(1, 2); - R_adapted(2, 0) = R(2, 2); - //move x to z - R_adapted(0, 2) = R(0, 0); - R_adapted(1, 2) = R(1, 0); - R_adapted(2, 2) = R(2, 0); - - //change direction of pitch (convert to right handed system) - R_adapted(0, 0) = -R_adapted(0, 0); - R_adapted(1, 0) = -R_adapted(1, 0); - R_adapted(2, 0) = -R_adapted(2, 0); - math::Vector<3> euler_angles_sec; //adapted euler angles for fixed wing operation - euler_angles_sec = R_adapted.to_euler(); - - att.roll_sec = euler_angles_sec(0); - att.pitch_sec = euler_angles_sec(1); - att.yaw_sec = euler_angles_sec(2); - - memcpy(&att.R_sec[0], &R_adapted.data[0][0], sizeof(att.R_sec)); - - att.rollspeed_sec = -x_aposteriori[2]; - att.pitchspeed_sec = x_aposteriori[1]; - att.yawspeed_sec = x_aposteriori[0]; - att.rollacc_sec = -x_aposteriori[5]; - att.pitchacc_sec = x_aposteriori[4]; - att.yawacc_sec = x_aposteriori[3]; - - att.g_comp_sec[0] = -raw.accelerometer_m_s2[2] - (-acc(2)); - att.g_comp_sec[1] = raw.accelerometer_m_s2[1] - acc(1); - att.g_comp_sec[2] = raw.accelerometer_m_s2[0] - acc(0); - - if (isfinite(att.roll) && isfinite(att.pitch) && isfinite(att.yaw)) { // Broadcast orb_publish(ORB_ID(vehicle_attitude), pub_att, &att); diff --git a/src/modules/commander/commander.cpp b/src/modules/commander/commander.cpp index f511f3876..247a2c5b8 100644 --- a/src/modules/commander/commander.cpp +++ b/src/modules/commander/commander.cpp @@ -84,6 +84,7 @@ #include <uORB/topics/geofence_result.h> #include <uORB/topics/telemetry_status.h> #include <uORB/topics/vtol_vehicle_status.h> + #include <uORB/topics/vehicle_land_detected.h> #include <drivers/drv_led.h> #include <drivers/drv_hrt.h> @@ -241,6 +242,13 @@ transition_result_t check_navigation_state_machine(struct vehicle_status_s *stat transition_result_t arm_disarm(bool arm, const int mavlink_fd, const char *armedBy); /** +* @brief This function initializes the home position of the vehicle. This happens first time we get a good GPS fix and each +* time the vehicle is armed with a good GPS fix. +**/ +static void commander_set_home_position(orb_advert_t &homePub, home_position_s &home, + const vehicle_local_position_s &localPosition, const vehicle_global_position_s &globalPosition); + +/** * Loop that runs at a lower rate and priority for calibration and parameter tasks. */ void *commander_low_prio_loop(void *arg); @@ -560,7 +568,7 @@ bool handle_command(struct vehicle_status_s *status_local, const struct safety_s } break; - /* Flight termination */ + /* Flight termination */ case VEHICLE_CMD_DO_FLIGHTTERMINATION: { if (cmd->param1 > 0.5f) { //XXX update state machine? @@ -716,6 +724,53 @@ bool handle_command(struct vehicle_status_s *status_local, const struct safety_s return true; } +/** +* @brief This function initializes the home position of the vehicle. This happens first time we get a good GPS fix and each +* time the vehicle is armed with a good GPS fix. +**/ +static void commander_set_home_position(orb_advert_t &homePub, home_position_s &home, + const vehicle_local_position_s &localPosition, const vehicle_global_position_s &globalPosition) +{ + //Need global position fix to be able to set home + if (!status.condition_global_position_valid) { + return; + } + + //Ensure that the GPS accuracy is good enough for intializing home + if (globalPosition.eph > eph_threshold || globalPosition.epv > epv_threshold) { + return; + } + + //Set home position + home.timestamp = hrt_absolute_time(); + home.lat = globalPosition.lat; + home.lon = globalPosition.lon; + home.alt = globalPosition.alt; + + home.x = localPosition.x; + home.y = localPosition.y; + home.z = localPosition.z; + + warnx("home: lat = %.7f, lon = %.7f, alt = %.2f ", home.lat, home.lon, (double)home.alt); + mavlink_log_info(mavlink_fd, "home: %.7f, %.7f, %.2f", home.lat, home.lon, (double)home.alt); + + /* announce new home position */ + if (homePub > 0) { + orb_publish(ORB_ID(home_position), homePub, &home); + + } else { + homePub = orb_advertise(ORB_ID(home_position), &home); + } + + //Play tune first time we initialize HOME + if (!status.condition_home_position_valid) { + tune_positive(true); + } + + /* mark home position as set */ + status.condition_home_position_valid = true; +} + int commander_thread_main(int argc, char *argv[]) { /* not yet initialized */ @@ -904,7 +959,6 @@ int commander_thread_main(int argc, char *argv[]) bool critical_battery_voltage_actions_done = false; hrt_abstime last_idle_time = 0; - hrt_abstime start_time = 0; bool status_changed = true; bool param_init_forced = true; @@ -964,6 +1018,11 @@ int commander_thread_main(int argc, char *argv[]) struct vehicle_local_position_s local_position; memset(&local_position, 0, sizeof(local_position)); + /* Subscribe to land detector */ + int land_detector_sub = orb_subscribe(ORB_ID(vehicle_land_detected)); + struct vehicle_land_detected_s land_detector; + memset(&land_detector, 0, sizeof(land_detector)); + /* * The home position is set based on GPS only, to prevent a dependency between * position estimator and commander. RAW GPS is more than good enough for a @@ -1035,7 +1094,7 @@ int commander_thread_main(int argc, char *argv[]) commander_initialized = true; thread_running = true; - start_time = hrt_absolute_time(); + const hrt_abstime commander_boot_timestamp = hrt_absolute_time(); transition_result_t arming_ret; @@ -1096,8 +1155,8 @@ int commander_thread_main(int argc, char *argv[]) } /* set vehicle_status.is_vtol flag */ - status.is_vtol = (status.system_type == VEHICLE_TYPE_VTOL_DUOROTOR) || - (status.system_type == VEHICLE_TYPE_VTOL_QUADROTOR); + status.is_vtol = (status.system_type == VEHICLE_TYPE_VTOL_DUOROTOR) || + (status.system_type == VEHICLE_TYPE_VTOL_QUADROTOR); /* check and update system / component ID */ param_get(_param_system_id, &(status.system_id)); @@ -1259,12 +1318,12 @@ int commander_thread_main(int argc, char *argv[]) } //Notify the user if the status of the safety switch changes - if(safety.safety_switch_available && previous_safety_off != safety.safety_off) { + if (safety.safety_switch_available && previous_safety_off != safety.safety_off) { - if(safety.safety_off) { + if (safety.safety_off) { set_tune(TONE_NOTIFY_POSITIVE_TUNE); - } - else { + + } else { tune_neutral(true); } @@ -1279,8 +1338,9 @@ int commander_thread_main(int argc, char *argv[]) /* vtol status changed */ orb_copy(ORB_ID(vtol_vehicle_status), vtol_vehicle_status_sub, &vtol_status); status.vtol_fw_permanent_stab = vtol_status.fw_permanent_stab; + /* Make sure that this is only adjusted if vehicle realy is of type vtol*/ - if (status.system_type == VEHICLE_TYPE_VTOL_DUOROTOR || VEHICLE_TYPE_VTOL_QUADROTOR) { + if ((status.system_type == VEHICLE_TYPE_VTOL_DUOROTOR) || (status.system_type == VEHICLE_TYPE_VTOL_QUADROTOR)) { status.is_rotary_wing = vtol_status.vtol_in_rw_mode; } } @@ -1325,34 +1385,6 @@ int commander_thread_main(int argc, char *argv[]) check_valid(global_position.timestamp, POSITION_TIMEOUT, eph_good, &(status.condition_global_position_valid), &status_changed); - /* update home position */ - if (!status.condition_home_position_valid && status.condition_global_position_valid && !armed.armed && - (global_position.eph < eph_threshold) && (global_position.epv < epv_threshold)) { - - home.lat = global_position.lat; - home.lon = global_position.lon; - home.alt = global_position.alt; - - home.x = local_position.x; - home.y = local_position.y; - home.z = local_position.z; - - warnx("home: lat = %.7f, lon = %.7f, alt = %.2f ", home.lat, home.lon, (double)home.alt); - mavlink_log_info(mavlink_fd, "[cmd] home: %.7f, %.7f, %.2f", home.lat, home.lon, (double)home.alt); - - /* announce new home position */ - if (home_pub > 0) { - orb_publish(ORB_ID(home_position), home_pub, &home); - - } else { - home_pub = orb_advertise(ORB_ID(home_position), &home); - } - - /* mark home position as set */ - status.condition_home_position_valid = true; - tune_positive(true); - } - /* update condition_local_position_valid and condition_local_altitude_valid */ /* hysteresis for EPH */ bool local_eph_good; @@ -1379,9 +1411,15 @@ int commander_thread_main(int argc, char *argv[]) check_valid(local_position.timestamp, POSITION_TIMEOUT, local_position.z_valid, &(status.condition_local_altitude_valid), &status_changed); + /* Update land detector */ + orb_check(land_detector_sub, &updated); + if(updated) { + orb_copy(ORB_ID(vehicle_land_detected), land_detector_sub, &land_detector); + } + if (status.condition_local_altitude_valid) { - if (status.condition_landed != local_position.landed) { - status.condition_landed = local_position.landed; + if (status.condition_landed != land_detector.landed) { + status.condition_landed = land_detector.landed; status_changed = true; if (status.condition_landed) { @@ -1401,7 +1439,7 @@ int commander_thread_main(int argc, char *argv[]) orb_copy(ORB_ID_VEHICLE_ATTITUDE_CONTROLS, actuator_controls_sub, &actuator_controls); /* only consider battery voltage if system has been running 2s and battery voltage is valid */ - if (hrt_absolute_time() > start_time + 2000000 && battery.voltage_filtered_v > 0.0f) { + if (hrt_absolute_time() > commander_boot_timestamp + 2000000 && battery.voltage_filtered_v > 0.0f) { status.battery_voltage = battery.voltage_filtered_v; status.battery_current = battery.current_a; status.condition_battery_voltage_valid = true; @@ -1419,7 +1457,7 @@ int commander_thread_main(int argc, char *argv[]) if (updated) { orb_copy(ORB_ID(subsystem_info), subsys_sub, &info); - warnx("subsystem changed: %d\n", (int)info.subsystem_type); + //warnx("subsystem changed: %d\n", (int)info.subsystem_type); /* mark / unmark as present */ if (info.present) { @@ -1609,7 +1647,8 @@ int commander_thread_main(int argc, char *argv[]) } else { if (status.rc_signal_lost) { - mavlink_log_critical(mavlink_fd, "RC SIGNAL REGAINED after %llums",(hrt_absolute_time()-status.rc_signal_lost_timestamp)/1000); + mavlink_log_critical(mavlink_fd, "RC SIGNAL REGAINED after %llums", + (hrt_absolute_time() - status.rc_signal_lost_timestamp) / 1000); status_changed = true; } } @@ -1710,9 +1749,9 @@ int commander_thread_main(int argc, char *argv[]) } else { if (!status.rc_signal_lost) { - mavlink_log_critical(mavlink_fd, "RC SIGNAL LOST (at t=%llums)",hrt_absolute_time()/1000); + mavlink_log_critical(mavlink_fd, "RC SIGNAL LOST (at t=%llums)", hrt_absolute_time() / 1000); status.rc_signal_lost = true; - status.rc_signal_lost_timestamp=sp_man.timestamp; + status.rc_signal_lost_timestamp = sp_man.timestamp; status_changed = true; } } @@ -1859,42 +1898,23 @@ int commander_thread_main(int argc, char *argv[]) } } + //Get current timestamp + const hrt_abstime now = hrt_absolute_time(); - hrt_abstime t1 = hrt_absolute_time(); + //First time home position update + if (!status.condition_home_position_valid) { + commander_set_home_position(home_pub, home, local_position, global_position); + } + + /* update home position on arming if at least 2s from commander start spent to avoid setting home on in-air restart */ + else if (arming_state_changed && armed.armed && !was_armed && now > commander_boot_timestamp + 2000000) { + commander_set_home_position(home_pub, home, local_position, global_position); + } /* print new state */ if (arming_state_changed) { status_changed = true; mavlink_log_info(mavlink_fd, "[cmd] arming state: %s", arming_states_str[status.arming_state]); - - /* update home position on arming if at least 2s from commander start spent to avoid setting home on in-air restart */ - if (armed.armed && !was_armed && hrt_absolute_time() > start_time + 2000000 && status.condition_global_position_valid && - (global_position.eph < eph_threshold) && (global_position.epv < epv_threshold)) { - - // TODO remove code duplication - home.lat = global_position.lat; - home.lon = global_position.lon; - home.alt = global_position.alt; - - home.x = local_position.x; - home.y = local_position.y; - home.z = local_position.z; - - warnx("home: lat = %.7f, lon = %.7f, alt = %.2f ", home.lat, home.lon, (double)home.alt); - mavlink_log_info(mavlink_fd, "home: %.7f, %.7f, %.2f", home.lat, home.lon, (double)home.alt); - - /* announce new home position */ - if (home_pub > 0) { - orb_publish(ORB_ID(home_position), home_pub, &home); - - } else { - home_pub = orb_advertise(ORB_ID(home_position), &home); - } - - /* mark home position as set */ - status.condition_home_position_valid = true; - } - arming_state_changed = false; } @@ -1915,11 +1935,14 @@ int commander_thread_main(int argc, char *argv[]) if (status.failsafe != failsafe_old) { status_changed = true; + if (status.failsafe) { mavlink_log_critical(mavlink_fd, "failsafe mode on"); + } else { mavlink_log_critical(mavlink_fd, "failsafe mode off"); } + failsafe_old = status.failsafe; } @@ -1932,13 +1955,13 @@ int commander_thread_main(int argc, char *argv[]) /* publish states (armed, control mode, vehicle status) at least with 5 Hz */ if (counter % (200000 / COMMANDER_MONITORING_INTERVAL) == 0 || status_changed) { set_control_mode(); - control_mode.timestamp = t1; + control_mode.timestamp = now; orb_publish(ORB_ID(vehicle_control_mode), control_mode_pub, &control_mode); - status.timestamp = t1; + status.timestamp = now; orb_publish(ORB_ID(vehicle_status), status_pub, &status); - armed.timestamp = t1; + armed.timestamp = now; orb_publish(ORB_ID(actuator_armed), armed_pub, &armed); } @@ -1965,7 +1988,7 @@ int commander_thread_main(int argc, char *argv[]) if (!armed.armed || (safety.safety_switch_available && !safety.safety_off)) { //Notify the user that it is safe to approach the vehicle - if(arm_tune_played) { + if (arm_tune_played) { tune_neutral(true); } @@ -2432,6 +2455,7 @@ set_control_mode() control_mode.flag_control_position_enabled = false; control_mode.flag_control_velocity_enabled = false; } + break; default: @@ -2470,7 +2494,7 @@ void answer_command(struct vehicle_command_s &cmd, enum VEHICLE_CMD_RESULT resul { switch (result) { case VEHICLE_CMD_RESULT_ACCEPTED: - tune_positive(true); + tune_positive(true); break; case VEHICLE_CMD_RESULT_DENIED: diff --git a/src/modules/commander/mag_calibration.cpp b/src/modules/commander/mag_calibration.cpp index 7be8de9c6..53013fdb9 100644 --- a/src/modules/commander/mag_calibration.cpp +++ b/src/modules/commander/mag_calibration.cpp @@ -65,6 +65,7 @@ static const char *sensor_name = "mag"; int do_mag_calibration(int mavlink_fd) { + int32_t device_id; mavlink_log_info(mavlink_fd, CAL_STARTED_MSG, sensor_name); mavlink_log_info(mavlink_fd, "don't move system"); @@ -88,6 +89,9 @@ int do_mag_calibration(int mavlink_fd) /* erase old calibration */ int fd = open(MAG_DEVICE_PATH, O_RDONLY); + + device_id = ioctl(fd, DEVIOCGDEVICEID, 0); + res = ioctl(fd, MAGIOCSSCALE, (long unsigned int)&mscale_null); if (res != OK) { @@ -146,54 +150,60 @@ int do_mag_calibration(int mavlink_fd) if (res == OK) { int sub_mag = orb_subscribe(ORB_ID(sensor_mag0)); - struct mag_report mag; - /* limit update rate to get equally spaced measurements over time (in ms) */ - orb_set_interval(sub_mag, (calibration_interval / 1000) / calibration_maxcount); + if (sub_mag < 0) { + mavlink_log_critical(mavlink_fd, "No mag found, abort"); + res = ERROR; + } else { + struct mag_report mag; + + /* limit update rate to get equally spaced measurements over time (in ms) */ + orb_set_interval(sub_mag, (calibration_interval / 1000) / calibration_maxcount); + + /* calibrate offsets */ + uint64_t calibration_deadline = hrt_absolute_time() + calibration_interval; + unsigned poll_errcount = 0; - /* calibrate offsets */ - uint64_t calibration_deadline = hrt_absolute_time() + calibration_interval; - unsigned poll_errcount = 0; + mavlink_log_info(mavlink_fd, "Turn on all sides: front/back,left/right,up/down"); - mavlink_log_info(mavlink_fd, "Turn on all sides: front/back,left/right,up/down"); + calibration_counter = 0U; - calibration_counter = 0; + while (hrt_absolute_time() < calibration_deadline && + calibration_counter < calibration_maxcount) { - while (hrt_absolute_time() < calibration_deadline && - calibration_counter < calibration_maxcount) { + /* wait blocking for new data */ + struct pollfd fds[1]; + fds[0].fd = sub_mag; + fds[0].events = POLLIN; - /* wait blocking for new data */ - struct pollfd fds[1]; - fds[0].fd = sub_mag; - fds[0].events = POLLIN; + int poll_ret = poll(fds, 1, 1000); - int poll_ret = poll(fds, 1, 1000); + if (poll_ret > 0) { + orb_copy(ORB_ID(sensor_mag0), sub_mag, &mag); - if (poll_ret > 0) { - orb_copy(ORB_ID(sensor_mag0), sub_mag, &mag); + x[calibration_counter] = mag.x; + y[calibration_counter] = mag.y; + z[calibration_counter] = mag.z; - x[calibration_counter] = mag.x; - y[calibration_counter] = mag.y; - z[calibration_counter] = mag.z; + calibration_counter++; - calibration_counter++; + if (calibration_counter % (calibration_maxcount / 20) == 0) { + mavlink_log_info(mavlink_fd, CAL_PROGRESS_MSG, sensor_name, 20 + (calibration_counter * 50) / calibration_maxcount); + } - if (calibration_counter % (calibration_maxcount / 20) == 0) { - mavlink_log_info(mavlink_fd, CAL_PROGRESS_MSG, sensor_name, 20 + (calibration_counter * 50) / calibration_maxcount); + } else { + poll_errcount++; } - } else { - poll_errcount++; + if (poll_errcount > 1000) { + mavlink_log_critical(mavlink_fd, CAL_FAILED_SENSOR_MSG); + res = ERROR; + break; + } } - if (poll_errcount > 1000) { - mavlink_log_critical(mavlink_fd, CAL_FAILED_SENSOR_MSG); - res = ERROR; - break; - } + close(sub_mag); } - - close(sub_mag); } float sphere_x; @@ -201,7 +211,7 @@ int do_mag_calibration(int mavlink_fd) float sphere_z; float sphere_radius; - if (res == OK) { + if (res == OK && calibration_counter > (calibration_maxcount / 2)) { /* sphere fit */ mavlink_log_info(mavlink_fd, CAL_PROGRESS_MSG, sensor_name, 70); @@ -253,6 +263,9 @@ int do_mag_calibration(int mavlink_fd) if (res == OK) { /* set parameters */ + if (param_set(param_find("SENS_MAG_ID"), &(device_id))) { + res = ERROR; + } if (param_set(param_find("SENS_MAG_XOFF"), &(mscale.x_offset))) { res = ERROR; } diff --git a/src/modules/dataman/dataman.c b/src/modules/dataman/dataman.c index 705e54be3..68bf12024 100644 --- a/src/modules/dataman/dataman.c +++ b/src/modules/dataman/dataman.c @@ -793,7 +793,7 @@ start(void) sem_init(&g_init_sema, 1, 0); /* start the worker thread */ - if ((task = task_spawn_cmd("dataman", SCHED_DEFAULT, SCHED_PRIORITY_DEFAULT, 2000, task_main, NULL)) <= 0) { + if ((task = task_spawn_cmd("dataman", SCHED_DEFAULT, SCHED_PRIORITY_DEFAULT, 1800, task_main, NULL)) <= 0) { warn("task start failed"); return -1; } diff --git a/src/modules/ekf_att_pos_estimator/ekf_att_pos_estimator_main.cpp b/src/modules/ekf_att_pos_estimator/ekf_att_pos_estimator_main.cpp index 968270847..d51075b8c 100644 --- a/src/modules/ekf_att_pos_estimator/ekf_att_pos_estimator_main.cpp +++ b/src/modules/ekf_att_pos_estimator/ekf_att_pos_estimator_main.cpp @@ -1,6 +1,6 @@ /**************************************************************************** * - * Copyright (c) 2013, 2014 PX4 Development Team. All rights reserved. + * Copyright (c) 2013-2015 PX4 Development Team. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions @@ -82,12 +82,11 @@ #include <systemlib/perf_counter.h> #include <systemlib/systemlib.h> #include <mathlib/mathlib.h> +#include <mathlib/math/filter/LowPassFilter2p.hpp> #include <mavlink/mavlink_log.h> #include <platforms/px4_defines.h> -#include "estimator_23states.h" - - +#include "estimator_22states.h" /** * estimator app start / stop handling function @@ -102,7 +101,7 @@ __EXPORT uint64_t getMicros(); static uint64_t IMUmsec = 0; static uint64_t IMUusec = 0; -static const uint64_t FILTER_INIT_DELAY = 1 * 1000 * 1000; +static const uint64_t FILTER_INIT_DELAY = 1 * 1000 * 1000; // units: microseconds uint32_t millis() { @@ -223,8 +222,10 @@ private: float _baro_ref; /**< barometer reference altitude */ float _baro_ref_offset; /**< offset between initial baro reference and GPS init baro altitude */ float _baro_gps_offset; /**< offset between baro altitude (at GPS init time) and GPS altitude */ + hrt_abstime _last_debug_print = 0; perf_counter_t _loop_perf; ///< loop performance counter + perf_counter_t _loop_intvl; ///< loop rate counter perf_counter_t _perf_gyro; ///<local performance counter for gyro updates perf_counter_t _perf_mag; ///<local performance counter for mag updates perf_counter_t _perf_gps; ///<local performance counter for gps updates @@ -291,10 +292,6 @@ private: AttPosEKF *_ekf; - float _velocity_xy_filtered; - float _velocity_z_filtered; - float _airspeed_filtered; - /** * Update our local parameter cache. */ @@ -400,6 +397,7 @@ FixedwingEstimator::FixedwingEstimator() : /* performance counters */ _loop_perf(perf_alloc(PC_ELAPSED, "ekf_att_pos_estimator")), + _loop_intvl(perf_alloc(PC_INTERVAL, "ekf_att_pos_est_interval")), _perf_gyro(perf_alloc(PC_INTERVAL, "ekf_att_pos_gyro_upd")), _perf_mag(perf_alloc(PC_INTERVAL, "ekf_att_pos_mag_upd")), _perf_gps(perf_alloc(PC_INTERVAL, "ekf_att_pos_gps_upd")), @@ -423,10 +421,7 @@ FixedwingEstimator::FixedwingEstimator() : _mavlink_fd(-1), _parameters{}, _parameter_handles{}, - _ekf(nullptr), - _velocity_xy_filtered(0.0f), - _velocity_z_filtered(0.0f), - _airspeed_filtered(0.0f) + _ekf(nullptr) { _last_run = hrt_absolute_time(); @@ -783,6 +778,11 @@ FixedwingEstimator::task_main() _gps.vel_e_m_s = 0.0f; _gps.vel_d_m_s = 0.0f; + // init lowpass filters for baro and gps altitude + float _gps_alt_filt = 0, _baro_alt_filt = 0; + float rc = 10.0f; // RC time constant of 1st order LPF in seconds + hrt_abstime baro_last = 0; + _task_running = true; while (!_task_should_exit) { @@ -801,6 +801,7 @@ FixedwingEstimator::task_main() } perf_begin(_loop_perf); + perf_count(_loop_intvl); /* only update parameters if they changed */ if (fds[0].revents & POLLIN) { @@ -1056,6 +1057,11 @@ FixedwingEstimator::task_main() _ekf->gpsLon = math::radians(_gps.lon / (double)1e7) - M_PI; _ekf->gpsHgt = _gps.alt / 1e3f; + // update LPF + _gps_alt_filt += (gps_elapsed / (rc + gps_elapsed)) * (_ekf->gpsHgt - _gps_alt_filt); + + //warnx("gps alt: %6.1f, interval: %6.3f", (double)_ekf->gpsHgt, (double)gps_elapsed); + // if (_gps.s_variance_m_s > 0.25f && _gps.s_variance_m_s < 100.0f * 100.0f) { // _ekf->vneSigma = sqrtf(_gps.s_variance_m_s); // } else { @@ -1071,7 +1077,6 @@ FixedwingEstimator::task_main() // warnx("vel: %8.4f pos: %8.4f", _gps.s_variance_m_s, _gps.p_variance_m); newDataGps = true; - last_gps = _gps.timestamp_position; } @@ -1083,15 +1088,15 @@ FixedwingEstimator::task_main() if (baro_updated) { - hrt_abstime baro_last = _baro.timestamp; - orb_copy(ORB_ID(sensor_baro0), _baro_sub, &_baro); float baro_elapsed = (_baro.timestamp - baro_last) / 1e6f; + baro_last = _baro.timestamp; _ekf->updateDtHgtFilt(math::constrain(baro_elapsed, 0.001f, 0.1f)); _ekf->baroHgt = _baro.altitude; + _baro_alt_filt += (baro_elapsed/(rc + baro_elapsed)) * (_baro.altitude - _baro_alt_filt); if (!_baro_init) { _baro_ref = _baro.altitude; @@ -1181,6 +1186,24 @@ FixedwingEstimator::task_main() float initVelNED[3]; + // maintain filtered baro and gps altitudes to calculate weather offset + // baro sample rate is ~70Hz and measurement bandwidth is high + // gps sample rate is 5Hz and altitude is assumed accurate when averaged over 30 seconds + // maintain heavily filtered values for both baro and gps altitude + // Assume the filtered output should be identical for both sensors + _baro_gps_offset = _baro_alt_filt - _gps_alt_filt; +// if (hrt_elapsed_time(&_last_debug_print) >= 5e6) { +// _last_debug_print = hrt_absolute_time(); +// perf_print_counter(_perf_baro); +// perf_reset(_perf_baro); +// warnx("gpsoff: %5.1f, baro_alt_filt: %6.1f, gps_alt_filt: %6.1f, gpos.alt: %5.1f, lpos.z: %6.1f", +// (double)_baro_gps_offset, +// (double)_baro_alt_filt, +// (double)_gps_alt_filt, +// (double)_global_pos.alt, +// (double)_local_pos.z); +// } + /* Initialize the filter first */ if (!_gps_initialized && _gps.fix_type > 2 && _gps.eph < _parameters.pos_stddev_threshold && _gps.epv < _parameters.pos_stddev_threshold) { @@ -1196,7 +1219,11 @@ FixedwingEstimator::task_main() // Set up height correctly orb_copy(ORB_ID(sensor_baro0), _baro_sub, &_baro); _baro_ref_offset = _ekf->states[9]; // this should become zero in the local frame - _baro_gps_offset = _baro.altitude - gps_alt; + + // init filtered gps and baro altitudes + _gps_alt_filt = gps_alt; + _baro_alt_filt = _baro.altitude; + _ekf->baroHgt = _baro.altitude; _ekf->hgtMea = 1.0f * (_ekf->baroHgt - (_baro_ref)); @@ -1372,10 +1399,15 @@ FixedwingEstimator::task_main() } if (newRangeData) { - _ekf->fuseRngData = true; - _ekf->useRangeFinder = true; - _ekf->RecallStates(_ekf->statesAtRngTime, (IMUmsec - 100.0f)); - _ekf->GroundEKF(); + + if (_ekf->Tnb.z.z > 0.9f) { + // _ekf->rngMea is set in sensor readout already + _ekf->fuseRngData = true; + _ekf->fuseOptFlowData = false; + _ekf->RecallStates(_ekf->statesAtRngTime, (IMUmsec - 100.0f)); + _ekf->OpticalFlowEKF(); + _ekf->fuseRngData = false; + } } @@ -1435,22 +1467,6 @@ FixedwingEstimator::task_main() _local_pos.v_z_valid = true; _local_pos.xy_global = true; - _velocity_xy_filtered = 0.95f*_velocity_xy_filtered + 0.05f*sqrtf(_local_pos.vx*_local_pos.vx + _local_pos.vy*_local_pos.vy); - _velocity_z_filtered = 0.95f*_velocity_z_filtered + 0.05f*fabsf(_local_pos.vz); - _airspeed_filtered = 0.95f*_airspeed_filtered + 0.05f*_airspeed.true_airspeed_m_s; - - - /* crude land detector for fixedwing only, - * TODO: adapt so that it works for both, maybe move to another location - */ - if (_velocity_xy_filtered < 5 - && _velocity_z_filtered < 10 - && _airspeed_filtered < 10) { - _local_pos.landed = true; - } else { - _local_pos.landed = false; - } - _local_pos.z_global = false; _local_pos.yaw = _att.yaw; @@ -1515,8 +1531,8 @@ FixedwingEstimator::task_main() if (hrt_elapsed_time(&_wind.timestamp) > 99000) { _wind.timestamp = _global_pos.timestamp; - _wind.windspeed_north = _ekf->windSpdFiltNorth; - _wind.windspeed_east = _ekf->windSpdFiltEast; + _wind.windspeed_north = _ekf->states[14]; + _wind.windspeed_east = _ekf->states[15]; // XXX we need to do something smart about the covariance here // but we default to the estimate covariance for now _wind.covariance_north = _ekf->P[14][14]; diff --git a/src/modules/ekf_att_pos_estimator/estimator_21states.cpp b/src/modules/ekf_att_pos_estimator/estimator_21states.cpp deleted file mode 100644 index 67bfec4ea..000000000 --- a/src/modules/ekf_att_pos_estimator/estimator_21states.cpp +++ /dev/null @@ -1,2142 +0,0 @@ -#include "estimator_21states.h" - -#include <string.h> - -AttPosEKF::AttPosEKF() : - fusionModeGPS(0), - covSkipCount(0), - EAS2TAS(1.0f), - statesInitialised(false), - fuseVelData(false), - fusePosData(false), - fuseHgtData(false), - fuseMagData(false), - fuseVtasData(false), - onGround(true), - staticMode(true), - useAirspeed(true), - useCompass(true), - numericalProtection(true), - storeIndex(0), - magDeclination(0.0f) -{ - InitialiseParameters(); -} - -AttPosEKF::~AttPosEKF() -{ -} - -void AttPosEKF::UpdateStrapdownEquationsNED() -{ - Vector3f delVelNav; - float q00; - float q11; - float q22; - float q33; - float q01; - float q02; - float q03; - float q12; - float q13; - float q23; - Mat3f Tbn; - Mat3f Tnb; - float rotationMag; - float qUpdated[4]; - float quatMag; - double deltaQuat[4]; - const Vector3f gravityNED = {0.0,0.0,GRAVITY_MSS}; - -// Remove sensor bias errors - correctedDelAng.x = dAngIMU.x - states[10]; - correctedDelAng.y = dAngIMU.y - states[11]; - correctedDelAng.z = dAngIMU.z - states[12]; - dVelIMU.x = dVelIMU.x; - dVelIMU.y = dVelIMU.y; - dVelIMU.z = dVelIMU.z; - -// Save current measurements - Vector3f prevDelAng = correctedDelAng; - -// Apply corrections for earths rotation rate and coning errors -// * and + operators have been overloaded - correctedDelAng = correctedDelAng - Tnb*earthRateNED*dtIMU + 8.333333333333333e-2f*(prevDelAng % correctedDelAng); -// Convert the rotation vector to its equivalent quaternion - rotationMag = correctedDelAng.length(); - if (rotationMag < 1e-12f) - { - deltaQuat[0] = 1.0; - deltaQuat[1] = 0.0; - deltaQuat[2] = 0.0; - deltaQuat[3] = 0.0; - } - else - { - deltaQuat[0] = cos(0.5f*rotationMag); - double rotScaler = (sin(0.5f*rotationMag))/rotationMag; - deltaQuat[1] = correctedDelAng.x*rotScaler; - deltaQuat[2] = correctedDelAng.y*rotScaler; - deltaQuat[3] = correctedDelAng.z*rotScaler; - } - -// Update the quaternions by rotating from the previous attitude through -// the delta angle rotation quaternion - qUpdated[0] = states[0]*deltaQuat[0] - states[1]*deltaQuat[1] - states[2]*deltaQuat[2] - states[3]*deltaQuat[3]; - qUpdated[1] = states[0]*deltaQuat[1] + states[1]*deltaQuat[0] + states[2]*deltaQuat[3] - states[3]*deltaQuat[2]; - qUpdated[2] = states[0]*deltaQuat[2] + states[2]*deltaQuat[0] + states[3]*deltaQuat[1] - states[1]*deltaQuat[3]; - qUpdated[3] = states[0]*deltaQuat[3] + states[3]*deltaQuat[0] + states[1]*deltaQuat[2] - states[2]*deltaQuat[1]; - -// Normalise the quaternions and update the quaternion states - quatMag = sqrtf(sq(qUpdated[0]) + sq(qUpdated[1]) + sq(qUpdated[2]) + sq(qUpdated[3])); - if (quatMag > 1e-16f) - { - float quatMagInv = 1.0f/quatMag; - states[0] = quatMagInv*qUpdated[0]; - states[1] = quatMagInv*qUpdated[1]; - states[2] = quatMagInv*qUpdated[2]; - states[3] = quatMagInv*qUpdated[3]; - } - -// Calculate the body to nav cosine matrix - q00 = sq(states[0]); - q11 = sq(states[1]); - q22 = sq(states[2]); - q33 = sq(states[3]); - q01 = states[0]*states[1]; - q02 = states[0]*states[2]; - q03 = states[0]*states[3]; - q12 = states[1]*states[2]; - q13 = states[1]*states[3]; - q23 = states[2]*states[3]; - - Tbn.x.x = q00 + q11 - q22 - q33; - Tbn.y.y = q00 - q11 + q22 - q33; - Tbn.z.z = q00 - q11 - q22 + q33; - Tbn.x.y = 2*(q12 - q03); - Tbn.x.z = 2*(q13 + q02); - Tbn.y.x = 2*(q12 + q03); - Tbn.y.z = 2*(q23 - q01); - Tbn.z.x = 2*(q13 - q02); - Tbn.z.y = 2*(q23 + q01); - - Tnb = Tbn.transpose(); - -// transform body delta velocities to delta velocities in the nav frame -// * and + operators have been overloaded - //delVelNav = Tbn*dVelIMU + gravityNED*dtIMU; - delVelNav.x = Tbn.x.x*dVelIMU.x + Tbn.x.y*dVelIMU.y + Tbn.x.z*dVelIMU.z + gravityNED.x*dtIMU; - delVelNav.y = Tbn.y.x*dVelIMU.x + Tbn.y.y*dVelIMU.y + Tbn.y.z*dVelIMU.z + gravityNED.y*dtIMU; - delVelNav.z = Tbn.z.x*dVelIMU.x + Tbn.z.y*dVelIMU.y + Tbn.z.z*dVelIMU.z + gravityNED.z*dtIMU; - -// calculate the magnitude of the nav acceleration (required for GPS -// variance estimation) - accNavMag = delVelNav.length()/dtIMU; - -// If calculating position save previous velocity - float lastVelocity[3]; - lastVelocity[0] = states[4]; - lastVelocity[1] = states[5]; - lastVelocity[2] = states[6]; - -// Sum delta velocities to get velocity - states[4] = states[4] + delVelNav.x; - states[5] = states[5] + delVelNav.y; - states[6] = states[6] + delVelNav.z; - -// If calculating postions, do a trapezoidal integration for position - states[7] = states[7] + 0.5f*(states[4] + lastVelocity[0])*dtIMU; - states[8] = states[8] + 0.5f*(states[5] + lastVelocity[1])*dtIMU; - states[9] = states[9] + 0.5f*(states[6] + lastVelocity[2])*dtIMU; - - // Constrain states (to protect against filter divergence) - //ConstrainStates(); -} - -void AttPosEKF::CovariancePrediction(float dt) -{ - // scalars - float daxCov; - float dayCov; - float dazCov; - float dvxCov; - float dvyCov; - float dvzCov; - float dvx; - float dvy; - float dvz; - float dax; - float day; - float daz; - float q0; - float q1; - float q2; - float q3; - float dax_b; - float day_b; - float daz_b; - - // arrays - float processNoise[21]; - float SF[14]; - float SG[8]; - float SQ[11]; - float SPP[13] = {0}; - float nextP[21][21]; - - // calculate covariance prediction process noise - windVelSigma = dt*0.1f; - dAngBiasSigma = dt*5.0e-7f; - magEarthSigma = dt*3.0e-4f; - magBodySigma = dt*3.0e-4f; - for (uint8_t i= 0; i<=9; i++) processNoise[i] = 1.0e-9f; - for (uint8_t i=10; i<=12; i++) processNoise[i] = dAngBiasSigma; - if (onGround) processNoise[12] = dAngBiasSigma * yawVarScale; - for (uint8_t i=13; i<=14; i++) processNoise[i] = windVelSigma; - for (uint8_t i=15; i<=17; i++) processNoise[i] = magEarthSigma; - for (uint8_t i=18; i<=20; i++) processNoise[i] = magBodySigma; - for (uint8_t i= 0; i<=20; i++) processNoise[i] = sq(processNoise[i]); - - // set variables used to calculate covariance growth - dvx = summedDelVel.x; - dvy = summedDelVel.y; - dvz = summedDelVel.z; - dax = summedDelAng.x; - day = summedDelAng.y; - daz = summedDelAng.z; - q0 = states[0]; - q1 = states[1]; - q2 = states[2]; - q3 = states[3]; - dax_b = states[10]; - day_b = states[11]; - daz_b = states[12]; - daxCov = sq(dt*1.4544411e-2f); - dayCov = sq(dt*1.4544411e-2f); - dazCov = sq(dt*1.4544411e-2f); - if (onGround) dazCov = dazCov * sq(yawVarScale); - dvxCov = sq(dt*0.5f); - dvyCov = sq(dt*0.5f); - dvzCov = sq(dt*0.5f); - - // Predicted covariance calculation - SF[0] = 2*dvx*q1 + 2*dvy*q2 + 2*dvz*q3; - SF[1] = 2*dvx*q3 + 2*dvy*q0 - 2*dvz*q1; - SF[2] = 2*dvx*q0 - 2*dvy*q3 + 2*dvz*q2; - SF[3] = day/2 - day_b/2; - SF[4] = daz/2 - daz_b/2; - SF[5] = dax/2 - dax_b/2; - SF[6] = dax_b/2 - dax/2; - SF[7] = daz_b/2 - daz/2; - SF[8] = day_b/2 - day/2; - SF[9] = q1/2; - SF[10] = q2/2; - SF[11] = q3/2; - SF[12] = 2*dvz*q0; - SF[13] = 2*dvy*q1; - - SG[0] = q0/2; - SG[1] = sq(q3); - SG[2] = sq(q2); - SG[3] = sq(q1); - SG[4] = sq(q0); - SG[5] = 2*q2*q3; - SG[6] = 2*q1*q3; - SG[7] = 2*q1*q2; - - SQ[0] = dvzCov*(SG[5] - 2*q0*q1)*(SG[1] - SG[2] - SG[3] + SG[4]) - dvyCov*(SG[5] + 2*q0*q1)*(SG[1] - SG[2] + SG[3] - SG[4]) + dvxCov*(SG[6] - 2*q0*q2)*(SG[7] + 2*q0*q3); - SQ[1] = dvzCov*(SG[6] + 2*q0*q2)*(SG[1] - SG[2] - SG[3] + SG[4]) - dvxCov*(SG[6] - 2*q0*q2)*(SG[1] + SG[2] - SG[3] - SG[4]) + dvyCov*(SG[5] + 2*q0*q1)*(SG[7] - 2*q0*q3); - SQ[2] = dvzCov*(SG[5] - 2*q0*q1)*(SG[6] + 2*q0*q2) - dvyCov*(SG[7] - 2*q0*q3)*(SG[1] - SG[2] + SG[3] - SG[4]) - dvxCov*(SG[7] + 2*q0*q3)*(SG[1] + SG[2] - SG[3] - SG[4]); - SQ[3] = (dayCov*q1*SG[0])/2 - (dazCov*q1*SG[0])/2 - (daxCov*q2*q3)/4; - SQ[4] = (dazCov*q2*SG[0])/2 - (daxCov*q2*SG[0])/2 - (dayCov*q1*q3)/4; - SQ[5] = (daxCov*q3*SG[0])/2 - (dayCov*q3*SG[0])/2 - (dazCov*q1*q2)/4; - SQ[6] = (daxCov*q1*q2)/4 - (dazCov*q3*SG[0])/2 - (dayCov*q1*q2)/4; - SQ[7] = (dazCov*q1*q3)/4 - (daxCov*q1*q3)/4 - (dayCov*q2*SG[0])/2; - SQ[8] = (dayCov*q2*q3)/4 - (daxCov*q1*SG[0])/2 - (dazCov*q2*q3)/4; - SQ[9] = sq(SG[0]); - SQ[10] = sq(q1); - - SPP[0] = SF[12] + SF[13] - 2*dvx*q2; - SPP[1] = 2*dvx*q0 - 2*dvy*q3 + 2*dvz*q2; - SPP[2] = 2*dvx*q3 + 2*dvy*q0 - 2*dvz*q1; - SPP[3] = SF[11]; - SPP[4] = SF[10]; - SPP[5] = SF[9]; - SPP[6] = SF[7]; - SPP[7] = SF[8]; - - nextP[0][0] = P[0][0] + P[1][0]*SF[6] + P[2][0]*SPP[7] + P[3][0]*SPP[6] + P[10][0]*SPP[5] + P[11][0]*SPP[4] + P[12][0]*SPP[3] + (daxCov*SQ[10])/4 + SF[6]*(P[0][1] + P[1][1]*SF[6] + P[2][1]*SPP[7] + P[3][1]*SPP[6] + P[10][1]*SPP[5] + P[11][1]*SPP[4] + P[12][1]*SPP[3]) + SPP[7]*(P[0][2] + P[1][2]*SF[6] + P[2][2]*SPP[7] + P[3][2]*SPP[6] + P[10][2]*SPP[5] + P[11][2]*SPP[4] + P[12][2]*SPP[3]) + SPP[6]*(P[0][3] + P[1][3]*SF[6] + P[2][3]*SPP[7] + P[3][3]*SPP[6] + P[10][3]*SPP[5] + P[11][3]*SPP[4] + P[12][3]*SPP[3]) + SPP[5]*(P[0][10] + P[1][10]*SF[6] + P[2][10]*SPP[7] + P[3][10]*SPP[6] + P[10][10]*SPP[5] + P[11][10]*SPP[4] + P[12][10]*SPP[3]) + SPP[4]*(P[0][11] + P[1][11]*SF[6] + P[2][11]*SPP[7] + P[3][11]*SPP[6] + P[10][11]*SPP[5] + P[11][11]*SPP[4] + P[12][11]*SPP[3]) + SPP[3]*(P[0][12] + P[1][12]*SF[6] + P[2][12]*SPP[7] + P[3][12]*SPP[6] + P[10][12]*SPP[5] + P[11][12]*SPP[4] + P[12][12]*SPP[3]) + (dayCov*sq(q2))/4 + (dazCov*sq(q3))/4; - nextP[0][1] = P[0][1] + SQ[8] + P[1][1]*SF[6] + P[2][1]*SPP[7] + P[3][1]*SPP[6] + P[10][1]*SPP[5] + P[11][1]*SPP[4] + P[12][1]*SPP[3] + SF[5]*(P[0][0] + P[1][0]*SF[6] + P[2][0]*SPP[7] + P[3][0]*SPP[6] + P[10][0]*SPP[5] + P[11][0]*SPP[4] + P[12][0]*SPP[3]) + SF[4]*(P[0][2] + P[1][2]*SF[6] + P[2][2]*SPP[7] + P[3][2]*SPP[6] + P[10][2]*SPP[5] + P[11][2]*SPP[4] + P[12][2]*SPP[3]) + SPP[7]*(P[0][3] + P[1][3]*SF[6] + P[2][3]*SPP[7] + P[3][3]*SPP[6] + P[10][3]*SPP[5] + P[11][3]*SPP[4] + P[12][3]*SPP[3]) + SPP[3]*(P[0][11] + P[1][11]*SF[6] + P[2][11]*SPP[7] + P[3][11]*SPP[6] + P[10][11]*SPP[5] + P[11][11]*SPP[4] + P[12][11]*SPP[3]) - SPP[4]*(P[0][12] + P[1][12]*SF[6] + P[2][12]*SPP[7] + P[3][12]*SPP[6] + P[10][12]*SPP[5] + P[11][12]*SPP[4] + P[12][12]*SPP[3]) - (q0*(P[0][10] + P[1][10]*SF[6] + P[2][10]*SPP[7] + P[3][10]*SPP[6] + P[10][10]*SPP[5] + P[11][10]*SPP[4] + P[12][10]*SPP[3]))/2; - nextP[0][2] = P[0][2] + SQ[7] + P[1][2]*SF[6] + P[2][2]*SPP[7] + P[3][2]*SPP[6] + P[10][2]*SPP[5] + P[11][2]*SPP[4] + P[12][2]*SPP[3] + SF[3]*(P[0][0] + P[1][0]*SF[6] + P[2][0]*SPP[7] + P[3][0]*SPP[6] + P[10][0]*SPP[5] + P[11][0]*SPP[4] + P[12][0]*SPP[3]) + SF[5]*(P[0][3] + P[1][3]*SF[6] + P[2][3]*SPP[7] + P[3][3]*SPP[6] + P[10][3]*SPP[5] + P[11][3]*SPP[4] + P[12][3]*SPP[3]) + SPP[6]*(P[0][1] + P[1][1]*SF[6] + P[2][1]*SPP[7] + P[3][1]*SPP[6] + P[10][1]*SPP[5] + P[11][1]*SPP[4] + P[12][1]*SPP[3]) - SPP[3]*(P[0][10] + P[1][10]*SF[6] + P[2][10]*SPP[7] + P[3][10]*SPP[6] + P[10][10]*SPP[5] + P[11][10]*SPP[4] + P[12][10]*SPP[3]) + SPP[5]*(P[0][12] + P[1][12]*SF[6] + P[2][12]*SPP[7] + P[3][12]*SPP[6] + P[10][12]*SPP[5] + P[11][12]*SPP[4] + P[12][12]*SPP[3]) - (q0*(P[0][11] + P[1][11]*SF[6] + P[2][11]*SPP[7] + P[3][11]*SPP[6] + P[10][11]*SPP[5] + P[11][11]*SPP[4] + P[12][11]*SPP[3]))/2; - nextP[0][3] = P[0][3] + SQ[6] + P[1][3]*SF[6] + P[2][3]*SPP[7] + P[3][3]*SPP[6] + P[10][3]*SPP[5] + P[11][3]*SPP[4] + P[12][3]*SPP[3] + SF[4]*(P[0][0] + P[1][0]*SF[6] + P[2][0]*SPP[7] + P[3][0]*SPP[6] + P[10][0]*SPP[5] + P[11][0]*SPP[4] + P[12][0]*SPP[3]) + SF[3]*(P[0][1] + P[1][1]*SF[6] + P[2][1]*SPP[7] + P[3][1]*SPP[6] + P[10][1]*SPP[5] + P[11][1]*SPP[4] + P[12][1]*SPP[3]) + SF[6]*(P[0][2] + P[1][2]*SF[6] + P[2][2]*SPP[7] + P[3][2]*SPP[6] + P[10][2]*SPP[5] + P[11][2]*SPP[4] + P[12][2]*SPP[3]) + SPP[4]*(P[0][10] + P[1][10]*SF[6] + P[2][10]*SPP[7] + P[3][10]*SPP[6] + P[10][10]*SPP[5] + P[11][10]*SPP[4] + P[12][10]*SPP[3]) - SPP[5]*(P[0][11] + P[1][11]*SF[6] + P[2][11]*SPP[7] + P[3][11]*SPP[6] + P[10][11]*SPP[5] + P[11][11]*SPP[4] + P[12][11]*SPP[3]) - (q0*(P[0][12] + P[1][12]*SF[6] + P[2][12]*SPP[7] + P[3][12]*SPP[6] + P[10][12]*SPP[5] + P[11][12]*SPP[4] + P[12][12]*SPP[3]))/2; - nextP[0][4] = P[0][4] + P[1][4]*SF[6] + P[2][4]*SPP[7] + P[3][4]*SPP[6] + P[10][4]*SPP[5] + P[11][4]*SPP[4] + P[12][4]*SPP[3] + SF[2]*(P[0][0] + P[1][0]*SF[6] + P[2][0]*SPP[7] + P[3][0]*SPP[6] + P[10][0]*SPP[5] + P[11][0]*SPP[4] + P[12][0]*SPP[3]) + SF[0]*(P[0][1] + P[1][1]*SF[6] + P[2][1]*SPP[7] + P[3][1]*SPP[6] + P[10][1]*SPP[5] + P[11][1]*SPP[4] + P[12][1]*SPP[3]) + SPP[0]*(P[0][2] + P[1][2]*SF[6] + P[2][2]*SPP[7] + P[3][2]*SPP[6] + P[10][2]*SPP[5] + P[11][2]*SPP[4] + P[12][2]*SPP[3]) - SPP[2]*(P[0][3] + P[1][3]*SF[6] + P[2][3]*SPP[7] + P[3][3]*SPP[6] + P[10][3]*SPP[5] + P[11][3]*SPP[4] + P[12][3]*SPP[3]); - nextP[0][5] = P[0][5] + P[1][5]*SF[6] + P[2][5]*SPP[7] + P[3][5]*SPP[6] + P[10][5]*SPP[5] + P[11][5]*SPP[4] + P[12][5]*SPP[3] + SF[1]*(P[0][0] + P[1][0]*SF[6] + P[2][0]*SPP[7] + P[3][0]*SPP[6] + P[10][0]*SPP[5] + P[11][0]*SPP[4] + P[12][0]*SPP[3]) + SF[0]*(P[0][2] + P[1][2]*SF[6] + P[2][2]*SPP[7] + P[3][2]*SPP[6] + P[10][2]*SPP[5] + P[11][2]*SPP[4] + P[12][2]*SPP[3]) + SF[2]*(P[0][3] + P[1][3]*SF[6] + P[2][3]*SPP[7] + P[3][3]*SPP[6] + P[10][3]*SPP[5] + P[11][3]*SPP[4] + P[12][3]*SPP[3]) - SPP[0]*(P[0][1] + P[1][1]*SF[6] + P[2][1]*SPP[7] + P[3][1]*SPP[6] + P[10][1]*SPP[5] + P[11][1]*SPP[4] + P[12][1]*SPP[3]); - nextP[0][6] = P[0][6] + P[1][6]*SF[6] + P[2][6]*SPP[7] + P[3][6]*SPP[6] + P[10][6]*SPP[5] + P[11][6]*SPP[4] + P[12][6]*SPP[3] + SF[1]*(P[0][1] + P[1][1]*SF[6] + P[2][1]*SPP[7] + P[3][1]*SPP[6] + P[10][1]*SPP[5] + P[11][1]*SPP[4] + P[12][1]*SPP[3]) + SF[0]*(P[0][3] + P[1][3]*SF[6] + P[2][3]*SPP[7] + P[3][3]*SPP[6] + P[10][3]*SPP[5] + P[11][3]*SPP[4] + P[12][3]*SPP[3]) + SPP[0]*(P[0][0] + P[1][0]*SF[6] + P[2][0]*SPP[7] + P[3][0]*SPP[6] + P[10][0]*SPP[5] + P[11][0]*SPP[4] + P[12][0]*SPP[3]) - SPP[1]*(P[0][2] + P[1][2]*SF[6] + P[2][2]*SPP[7] + P[3][2]*SPP[6] + P[10][2]*SPP[5] + P[11][2]*SPP[4] + P[12][2]*SPP[3]); - nextP[0][7] = P[0][7] + P[1][7]*SF[6] + P[2][7]*SPP[7] + P[3][7]*SPP[6] + P[10][7]*SPP[5] + P[11][7]*SPP[4] + P[12][7]*SPP[3] + dt*(P[0][4] + P[1][4]*SF[6] + P[2][4]*SPP[7] + P[3][4]*SPP[6] + P[10][4]*SPP[5] + P[11][4]*SPP[4] + P[12][4]*SPP[3]); - nextP[0][8] = P[0][8] + P[1][8]*SF[6] + P[2][8]*SPP[7] + P[3][8]*SPP[6] + P[10][8]*SPP[5] + P[11][8]*SPP[4] + P[12][8]*SPP[3] + dt*(P[0][5] + P[1][5]*SF[6] + P[2][5]*SPP[7] + P[3][5]*SPP[6] + P[10][5]*SPP[5] + P[11][5]*SPP[4] + P[12][5]*SPP[3]); - nextP[0][9] = P[0][9] + P[1][9]*SF[6] + P[2][9]*SPP[7] + P[3][9]*SPP[6] + P[10][9]*SPP[5] + P[11][9]*SPP[4] + P[12][9]*SPP[3] + dt*(P[0][6] + P[1][6]*SF[6] + P[2][6]*SPP[7] + P[3][6]*SPP[6] + P[10][6]*SPP[5] + P[11][6]*SPP[4] + P[12][6]*SPP[3]); - nextP[0][10] = P[0][10] + P[1][10]*SF[6] + P[2][10]*SPP[7] + P[3][10]*SPP[6] + P[10][10]*SPP[5] + P[11][10]*SPP[4] + P[12][10]*SPP[3]; - nextP[0][11] = P[0][11] + P[1][11]*SF[6] + P[2][11]*SPP[7] + P[3][11]*SPP[6] + P[10][11]*SPP[5] + P[11][11]*SPP[4] + P[12][11]*SPP[3]; - nextP[0][12] = P[0][12] + P[1][12]*SF[6] + P[2][12]*SPP[7] + P[3][12]*SPP[6] + P[10][12]*SPP[5] + P[11][12]*SPP[4] + P[12][12]*SPP[3]; - nextP[0][13] = P[0][13] + P[1][13]*SF[6] + P[2][13]*SPP[7] + P[3][13]*SPP[6] + P[10][13]*SPP[5] + P[11][13]*SPP[4] + P[12][13]*SPP[3]; - nextP[0][14] = P[0][14] + P[1][14]*SF[6] + P[2][14]*SPP[7] + P[3][14]*SPP[6] + P[10][14]*SPP[5] + P[11][14]*SPP[4] + P[12][14]*SPP[3]; - nextP[0][15] = P[0][15] + P[1][15]*SF[6] + P[2][15]*SPP[7] + P[3][15]*SPP[6] + P[10][15]*SPP[5] + P[11][15]*SPP[4] + P[12][15]*SPP[3]; - nextP[0][16] = P[0][16] + P[1][16]*SF[6] + P[2][16]*SPP[7] + P[3][16]*SPP[6] + P[10][16]*SPP[5] + P[11][16]*SPP[4] + P[12][16]*SPP[3]; - nextP[0][17] = P[0][17] + P[1][17]*SF[6] + P[2][17]*SPP[7] + P[3][17]*SPP[6] + P[10][17]*SPP[5] + P[11][17]*SPP[4] + P[12][17]*SPP[3]; - nextP[0][18] = P[0][18] + P[1][18]*SF[6] + P[2][18]*SPP[7] + P[3][18]*SPP[6] + P[10][18]*SPP[5] + P[11][18]*SPP[4] + P[12][18]*SPP[3]; - nextP[0][19] = P[0][19] + P[1][19]*SF[6] + P[2][19]*SPP[7] + P[3][19]*SPP[6] + P[10][19]*SPP[5] + P[11][19]*SPP[4] + P[12][19]*SPP[3]; - nextP[0][20] = P[0][20] + P[1][20]*SF[6] + P[2][20]*SPP[7] + P[3][20]*SPP[6] + P[10][20]*SPP[5] + P[11][20]*SPP[4] + P[12][20]*SPP[3]; - nextP[1][0] = P[1][0] + SQ[8] + P[0][0]*SF[5] + P[2][0]*SF[4] + P[3][0]*SPP[7] + P[11][0]*SPP[3] - P[12][0]*SPP[4] - (P[10][0]*q0)/2 + SF[6]*(P[1][1] + P[0][1]*SF[5] + P[2][1]*SF[4] + P[3][1]*SPP[7] + P[11][1]*SPP[3] - P[12][1]*SPP[4] - (P[10][1]*q0)/2) + SPP[7]*(P[1][2] + P[0][2]*SF[5] + P[2][2]*SF[4] + P[3][2]*SPP[7] + P[11][2]*SPP[3] - P[12][2]*SPP[4] - (P[10][2]*q0)/2) + SPP[6]*(P[1][3] + P[0][3]*SF[5] + P[2][3]*SF[4] + P[3][3]*SPP[7] + P[11][3]*SPP[3] - P[12][3]*SPP[4] - (P[10][3]*q0)/2) + SPP[5]*(P[1][10] + P[0][10]*SF[5] + P[2][10]*SF[4] + P[3][10]*SPP[7] + P[11][10]*SPP[3] - P[12][10]*SPP[4] - (P[10][10]*q0)/2) + SPP[4]*(P[1][11] + P[0][11]*SF[5] + P[2][11]*SF[4] + P[3][11]*SPP[7] + P[11][11]*SPP[3] - P[12][11]*SPP[4] - (P[10][11]*q0)/2) + SPP[3]*(P[1][12] + P[0][12]*SF[5] + P[2][12]*SF[4] + P[3][12]*SPP[7] + P[11][12]*SPP[3] - P[12][12]*SPP[4] - (P[10][12]*q0)/2); - nextP[1][1] = P[1][1] + P[0][1]*SF[5] + P[2][1]*SF[4] + P[3][1]*SPP[7] + P[11][1]*SPP[3] - P[12][1]*SPP[4] + daxCov*SQ[9] - (P[10][1]*q0)/2 + SF[5]*(P[1][0] + P[0][0]*SF[5] + P[2][0]*SF[4] + P[3][0]*SPP[7] + P[11][0]*SPP[3] - P[12][0]*SPP[4] - (P[10][0]*q0)/2) + SF[4]*(P[1][2] + P[0][2]*SF[5] + P[2][2]*SF[4] + P[3][2]*SPP[7] + P[11][2]*SPP[3] - P[12][2]*SPP[4] - (P[10][2]*q0)/2) + SPP[7]*(P[1][3] + P[0][3]*SF[5] + P[2][3]*SF[4] + P[3][3]*SPP[7] + P[11][3]*SPP[3] - P[12][3]*SPP[4] - (P[10][3]*q0)/2) + SPP[3]*(P[1][11] + P[0][11]*SF[5] + P[2][11]*SF[4] + P[3][11]*SPP[7] + P[11][11]*SPP[3] - P[12][11]*SPP[4] - (P[10][11]*q0)/2) - SPP[4]*(P[1][12] + P[0][12]*SF[5] + P[2][12]*SF[4] + P[3][12]*SPP[7] + P[11][12]*SPP[3] - P[12][12]*SPP[4] - (P[10][12]*q0)/2) + (dayCov*sq(q3))/4 + (dazCov*sq(q2))/4 - (q0*(P[1][10] + P[0][10]*SF[5] + P[2][10]*SF[4] + P[3][10]*SPP[7] + P[11][10]*SPP[3] - P[12][10]*SPP[4] - (P[10][10]*q0)/2))/2; - nextP[1][2] = P[1][2] + SQ[5] + P[0][2]*SF[5] + P[2][2]*SF[4] + P[3][2]*SPP[7] + P[11][2]*SPP[3] - P[12][2]*SPP[4] - (P[10][2]*q0)/2 + SF[3]*(P[1][0] + P[0][0]*SF[5] + P[2][0]*SF[4] + P[3][0]*SPP[7] + P[11][0]*SPP[3] - P[12][0]*SPP[4] - (P[10][0]*q0)/2) + SF[5]*(P[1][3] + P[0][3]*SF[5] + P[2][3]*SF[4] + P[3][3]*SPP[7] + P[11][3]*SPP[3] - P[12][3]*SPP[4] - (P[10][3]*q0)/2) + SPP[6]*(P[1][1] + P[0][1]*SF[5] + P[2][1]*SF[4] + P[3][1]*SPP[7] + P[11][1]*SPP[3] - P[12][1]*SPP[4] - (P[10][1]*q0)/2) - SPP[3]*(P[1][10] + P[0][10]*SF[5] + P[2][10]*SF[4] + P[3][10]*SPP[7] + P[11][10]*SPP[3] - P[12][10]*SPP[4] - (P[10][10]*q0)/2) + SPP[5]*(P[1][12] + P[0][12]*SF[5] + P[2][12]*SF[4] + P[3][12]*SPP[7] + P[11][12]*SPP[3] - P[12][12]*SPP[4] - (P[10][12]*q0)/2) - (q0*(P[1][11] + P[0][11]*SF[5] + P[2][11]*SF[4] + P[3][11]*SPP[7] + P[11][11]*SPP[3] - P[12][11]*SPP[4] - (P[10][11]*q0)/2))/2; - nextP[1][3] = P[1][3] + SQ[4] + P[0][3]*SF[5] + P[2][3]*SF[4] + P[3][3]*SPP[7] + P[11][3]*SPP[3] - P[12][3]*SPP[4] - (P[10][3]*q0)/2 + SF[4]*(P[1][0] + P[0][0]*SF[5] + P[2][0]*SF[4] + P[3][0]*SPP[7] + P[11][0]*SPP[3] - P[12][0]*SPP[4] - (P[10][0]*q0)/2) + SF[3]*(P[1][1] + P[0][1]*SF[5] + P[2][1]*SF[4] + P[3][1]*SPP[7] + P[11][1]*SPP[3] - P[12][1]*SPP[4] - (P[10][1]*q0)/2) + SF[6]*(P[1][2] + P[0][2]*SF[5] + P[2][2]*SF[4] + P[3][2]*SPP[7] + P[11][2]*SPP[3] - P[12][2]*SPP[4] - (P[10][2]*q0)/2) + SPP[4]*(P[1][10] + P[0][10]*SF[5] + P[2][10]*SF[4] + P[3][10]*SPP[7] + P[11][10]*SPP[3] - P[12][10]*SPP[4] - (P[10][10]*q0)/2) - SPP[5]*(P[1][11] + P[0][11]*SF[5] + P[2][11]*SF[4] + P[3][11]*SPP[7] + P[11][11]*SPP[3] - P[12][11]*SPP[4] - (P[10][11]*q0)/2) - (q0*(P[1][12] + P[0][12]*SF[5] + P[2][12]*SF[4] + P[3][12]*SPP[7] + P[11][12]*SPP[3] - P[12][12]*SPP[4] - (P[10][12]*q0)/2))/2; - nextP[1][4] = P[1][4] + P[0][4]*SF[5] + P[2][4]*SF[4] + P[3][4]*SPP[7] + P[11][4]*SPP[3] - P[12][4]*SPP[4] - (P[10][4]*q0)/2 + SF[2]*(P[1][0] + P[0][0]*SF[5] + P[2][0]*SF[4] + P[3][0]*SPP[7] + P[11][0]*SPP[3] - P[12][0]*SPP[4] - (P[10][0]*q0)/2) + SF[0]*(P[1][1] + P[0][1]*SF[5] + P[2][1]*SF[4] + P[3][1]*SPP[7] + P[11][1]*SPP[3] - P[12][1]*SPP[4] - (P[10][1]*q0)/2) + SPP[0]*(P[1][2] + P[0][2]*SF[5] + P[2][2]*SF[4] + P[3][2]*SPP[7] + P[11][2]*SPP[3] - P[12][2]*SPP[4] - (P[10][2]*q0)/2) - SPP[2]*(P[1][3] + P[0][3]*SF[5] + P[2][3]*SF[4] + P[3][3]*SPP[7] + P[11][3]*SPP[3] - P[12][3]*SPP[4] - (P[10][3]*q0)/2); - nextP[1][5] = P[1][5] + P[0][5]*SF[5] + P[2][5]*SF[4] + P[3][5]*SPP[7] + P[11][5]*SPP[3] - P[12][5]*SPP[4] - (P[10][5]*q0)/2 + SF[1]*(P[1][0] + P[0][0]*SF[5] + P[2][0]*SF[4] + P[3][0]*SPP[7] + P[11][0]*SPP[3] - P[12][0]*SPP[4] - (P[10][0]*q0)/2) + SF[0]*(P[1][2] + P[0][2]*SF[5] + P[2][2]*SF[4] + P[3][2]*SPP[7] + P[11][2]*SPP[3] - P[12][2]*SPP[4] - (P[10][2]*q0)/2) + SF[2]*(P[1][3] + P[0][3]*SF[5] + P[2][3]*SF[4] + P[3][3]*SPP[7] + P[11][3]*SPP[3] - P[12][3]*SPP[4] - (P[10][3]*q0)/2) - SPP[0]*(P[1][1] + P[0][1]*SF[5] + P[2][1]*SF[4] + P[3][1]*SPP[7] + P[11][1]*SPP[3] - P[12][1]*SPP[4] - (P[10][1]*q0)/2); - nextP[1][6] = P[1][6] + P[0][6]*SF[5] + P[2][6]*SF[4] + P[3][6]*SPP[7] + P[11][6]*SPP[3] - P[12][6]*SPP[4] - (P[10][6]*q0)/2 + SF[1]*(P[1][1] + P[0][1]*SF[5] + P[2][1]*SF[4] + P[3][1]*SPP[7] + P[11][1]*SPP[3] - P[12][1]*SPP[4] - (P[10][1]*q0)/2) + SF[0]*(P[1][3] + P[0][3]*SF[5] + P[2][3]*SF[4] + P[3][3]*SPP[7] + P[11][3]*SPP[3] - P[12][3]*SPP[4] - (P[10][3]*q0)/2) + SPP[0]*(P[1][0] + P[0][0]*SF[5] + P[2][0]*SF[4] + P[3][0]*SPP[7] + P[11][0]*SPP[3] - P[12][0]*SPP[4] - (P[10][0]*q0)/2) - SPP[1]*(P[1][2] + P[0][2]*SF[5] + P[2][2]*SF[4] + P[3][2]*SPP[7] + P[11][2]*SPP[3] - P[12][2]*SPP[4] - (P[10][2]*q0)/2); - nextP[1][7] = P[1][7] + P[0][7]*SF[5] + P[2][7]*SF[4] + P[3][7]*SPP[7] + P[11][7]*SPP[3] - P[12][7]*SPP[4] - (P[10][7]*q0)/2 + dt*(P[1][4] + P[0][4]*SF[5] + P[2][4]*SF[4] + P[3][4]*SPP[7] + P[11][4]*SPP[3] - P[12][4]*SPP[4] - (P[10][4]*q0)/2); - nextP[1][8] = P[1][8] + P[0][8]*SF[5] + P[2][8]*SF[4] + P[3][8]*SPP[7] + P[11][8]*SPP[3] - P[12][8]*SPP[4] - (P[10][8]*q0)/2 + dt*(P[1][5] + P[0][5]*SF[5] + P[2][5]*SF[4] + P[3][5]*SPP[7] + P[11][5]*SPP[3] - P[12][5]*SPP[4] - (P[10][5]*q0)/2); - nextP[1][9] = P[1][9] + P[0][9]*SF[5] + P[2][9]*SF[4] + P[3][9]*SPP[7] + P[11][9]*SPP[3] - P[12][9]*SPP[4] - (P[10][9]*q0)/2 + dt*(P[1][6] + P[0][6]*SF[5] + P[2][6]*SF[4] + P[3][6]*SPP[7] + P[11][6]*SPP[3] - P[12][6]*SPP[4] - (P[10][6]*q0)/2); - nextP[1][10] = P[1][10] + P[0][10]*SF[5] + P[2][10]*SF[4] + P[3][10]*SPP[7] + P[11][10]*SPP[3] - P[12][10]*SPP[4] - (P[10][10]*q0)/2; - nextP[1][11] = P[1][11] + P[0][11]*SF[5] + P[2][11]*SF[4] + P[3][11]*SPP[7] + P[11][11]*SPP[3] - P[12][11]*SPP[4] - (P[10][11]*q0)/2; - nextP[1][12] = P[1][12] + P[0][12]*SF[5] + P[2][12]*SF[4] + P[3][12]*SPP[7] + P[11][12]*SPP[3] - P[12][12]*SPP[4] - (P[10][12]*q0)/2; - nextP[1][13] = P[1][13] + P[0][13]*SF[5] + P[2][13]*SF[4] + P[3][13]*SPP[7] + P[11][13]*SPP[3] - P[12][13]*SPP[4] - (P[10][13]*q0)/2; - nextP[1][14] = P[1][14] + P[0][14]*SF[5] + P[2][14]*SF[4] + P[3][14]*SPP[7] + P[11][14]*SPP[3] - P[12][14]*SPP[4] - (P[10][14]*q0)/2; - nextP[1][15] = P[1][15] + P[0][15]*SF[5] + P[2][15]*SF[4] + P[3][15]*SPP[7] + P[11][15]*SPP[3] - P[12][15]*SPP[4] - (P[10][15]*q0)/2; - nextP[1][16] = P[1][16] + P[0][16]*SF[5] + P[2][16]*SF[4] + P[3][16]*SPP[7] + P[11][16]*SPP[3] - P[12][16]*SPP[4] - (P[10][16]*q0)/2; - nextP[1][17] = P[1][17] + P[0][17]*SF[5] + P[2][17]*SF[4] + P[3][17]*SPP[7] + P[11][17]*SPP[3] - P[12][17]*SPP[4] - (P[10][17]*q0)/2; - nextP[1][18] = P[1][18] + P[0][18]*SF[5] + P[2][18]*SF[4] + P[3][18]*SPP[7] + P[11][18]*SPP[3] - P[12][18]*SPP[4] - (P[10][18]*q0)/2; - nextP[1][19] = P[1][19] + P[0][19]*SF[5] + P[2][19]*SF[4] + P[3][19]*SPP[7] + P[11][19]*SPP[3] - P[12][19]*SPP[4] - (P[10][19]*q0)/2; - nextP[1][20] = P[1][20] + P[0][20]*SF[5] + P[2][20]*SF[4] + P[3][20]*SPP[7] + P[11][20]*SPP[3] - P[12][20]*SPP[4] - (P[10][20]*q0)/2; - nextP[2][0] = P[2][0] + SQ[7] + P[0][0]*SF[3] + P[3][0]*SF[5] + P[1][0]*SPP[6] - P[10][0]*SPP[3] + P[12][0]*SPP[5] - (P[11][0]*q0)/2 + SF[6]*(P[2][1] + P[0][1]*SF[3] + P[3][1]*SF[5] + P[1][1]*SPP[6] - P[10][1]*SPP[3] + P[12][1]*SPP[5] - (P[11][1]*q0)/2) + SPP[7]*(P[2][2] + P[0][2]*SF[3] + P[3][2]*SF[5] + P[1][2]*SPP[6] - P[10][2]*SPP[3] + P[12][2]*SPP[5] - (P[11][2]*q0)/2) + SPP[6]*(P[2][3] + P[0][3]*SF[3] + P[3][3]*SF[5] + P[1][3]*SPP[6] - P[10][3]*SPP[3] + P[12][3]*SPP[5] - (P[11][3]*q0)/2) + SPP[5]*(P[2][10] + P[0][10]*SF[3] + P[3][10]*SF[5] + P[1][10]*SPP[6] - P[10][10]*SPP[3] + P[12][10]*SPP[5] - (P[11][10]*q0)/2) + SPP[4]*(P[2][11] + P[0][11]*SF[3] + P[3][11]*SF[5] + P[1][11]*SPP[6] - P[10][11]*SPP[3] + P[12][11]*SPP[5] - (P[11][11]*q0)/2) + SPP[3]*(P[2][12] + P[0][12]*SF[3] + P[3][12]*SF[5] + P[1][12]*SPP[6] - P[10][12]*SPP[3] + P[12][12]*SPP[5] - (P[11][12]*q0)/2); - nextP[2][1] = P[2][1] + SQ[5] + P[0][1]*SF[3] + P[3][1]*SF[5] + P[1][1]*SPP[6] - P[10][1]*SPP[3] + P[12][1]*SPP[5] - (P[11][1]*q0)/2 + SF[5]*(P[2][0] + P[0][0]*SF[3] + P[3][0]*SF[5] + P[1][0]*SPP[6] - P[10][0]*SPP[3] + P[12][0]*SPP[5] - (P[11][0]*q0)/2) + SF[4]*(P[2][2] + P[0][2]*SF[3] + P[3][2]*SF[5] + P[1][2]*SPP[6] - P[10][2]*SPP[3] + P[12][2]*SPP[5] - (P[11][2]*q0)/2) + SPP[7]*(P[2][3] + P[0][3]*SF[3] + P[3][3]*SF[5] + P[1][3]*SPP[6] - P[10][3]*SPP[3] + P[12][3]*SPP[5] - (P[11][3]*q0)/2) + SPP[3]*(P[2][11] + P[0][11]*SF[3] + P[3][11]*SF[5] + P[1][11]*SPP[6] - P[10][11]*SPP[3] + P[12][11]*SPP[5] - (P[11][11]*q0)/2) - SPP[4]*(P[2][12] + P[0][12]*SF[3] + P[3][12]*SF[5] + P[1][12]*SPP[6] - P[10][12]*SPP[3] + P[12][12]*SPP[5] - (P[11][12]*q0)/2) - (q0*(P[2][10] + P[0][10]*SF[3] + P[3][10]*SF[5] + P[1][10]*SPP[6] - P[10][10]*SPP[3] + P[12][10]*SPP[5] - (P[11][10]*q0)/2))/2; - nextP[2][2] = P[2][2] + P[0][2]*SF[3] + P[3][2]*SF[5] + P[1][2]*SPP[6] - P[10][2]*SPP[3] + P[12][2]*SPP[5] + dayCov*SQ[9] + (dazCov*SQ[10])/4 - (P[11][2]*q0)/2 + SF[3]*(P[2][0] + P[0][0]*SF[3] + P[3][0]*SF[5] + P[1][0]*SPP[6] - P[10][0]*SPP[3] + P[12][0]*SPP[5] - (P[11][0]*q0)/2) + SF[5]*(P[2][3] + P[0][3]*SF[3] + P[3][3]*SF[5] + P[1][3]*SPP[6] - P[10][3]*SPP[3] + P[12][3]*SPP[5] - (P[11][3]*q0)/2) + SPP[6]*(P[2][1] + P[0][1]*SF[3] + P[3][1]*SF[5] + P[1][1]*SPP[6] - P[10][1]*SPP[3] + P[12][1]*SPP[5] - (P[11][1]*q0)/2) - SPP[3]*(P[2][10] + P[0][10]*SF[3] + P[3][10]*SF[5] + P[1][10]*SPP[6] - P[10][10]*SPP[3] + P[12][10]*SPP[5] - (P[11][10]*q0)/2) + SPP[5]*(P[2][12] + P[0][12]*SF[3] + P[3][12]*SF[5] + P[1][12]*SPP[6] - P[10][12]*SPP[3] + P[12][12]*SPP[5] - (P[11][12]*q0)/2) + (daxCov*sq(q3))/4 - (q0*(P[2][11] + P[0][11]*SF[3] + P[3][11]*SF[5] + P[1][11]*SPP[6] - P[10][11]*SPP[3] + P[12][11]*SPP[5] - (P[11][11]*q0)/2))/2; - nextP[2][3] = P[2][3] + SQ[3] + P[0][3]*SF[3] + P[3][3]*SF[5] + P[1][3]*SPP[6] - P[10][3]*SPP[3] + P[12][3]*SPP[5] - (P[11][3]*q0)/2 + SF[4]*(P[2][0] + P[0][0]*SF[3] + P[3][0]*SF[5] + P[1][0]*SPP[6] - P[10][0]*SPP[3] + P[12][0]*SPP[5] - (P[11][0]*q0)/2) + SF[3]*(P[2][1] + P[0][1]*SF[3] + P[3][1]*SF[5] + P[1][1]*SPP[6] - P[10][1]*SPP[3] + P[12][1]*SPP[5] - (P[11][1]*q0)/2) + SF[6]*(P[2][2] + P[0][2]*SF[3] + P[3][2]*SF[5] + P[1][2]*SPP[6] - P[10][2]*SPP[3] + P[12][2]*SPP[5] - (P[11][2]*q0)/2) + SPP[4]*(P[2][10] + P[0][10]*SF[3] + P[3][10]*SF[5] + P[1][10]*SPP[6] - P[10][10]*SPP[3] + P[12][10]*SPP[5] - (P[11][10]*q0)/2) - SPP[5]*(P[2][11] + P[0][11]*SF[3] + P[3][11]*SF[5] + P[1][11]*SPP[6] - P[10][11]*SPP[3] + P[12][11]*SPP[5] - (P[11][11]*q0)/2) - (q0*(P[2][12] + P[0][12]*SF[3] + P[3][12]*SF[5] + P[1][12]*SPP[6] - P[10][12]*SPP[3] + P[12][12]*SPP[5] - (P[11][12]*q0)/2))/2; - nextP[2][4] = P[2][4] + P[0][4]*SF[3] + P[3][4]*SF[5] + P[1][4]*SPP[6] - P[10][4]*SPP[3] + P[12][4]*SPP[5] - (P[11][4]*q0)/2 + SF[2]*(P[2][0] + P[0][0]*SF[3] + P[3][0]*SF[5] + P[1][0]*SPP[6] - P[10][0]*SPP[3] + P[12][0]*SPP[5] - (P[11][0]*q0)/2) + SF[0]*(P[2][1] + P[0][1]*SF[3] + P[3][1]*SF[5] + P[1][1]*SPP[6] - P[10][1]*SPP[3] + P[12][1]*SPP[5] - (P[11][1]*q0)/2) + SPP[0]*(P[2][2] + P[0][2]*SF[3] + P[3][2]*SF[5] + P[1][2]*SPP[6] - P[10][2]*SPP[3] + P[12][2]*SPP[5] - (P[11][2]*q0)/2) - SPP[2]*(P[2][3] + P[0][3]*SF[3] + P[3][3]*SF[5] + P[1][3]*SPP[6] - P[10][3]*SPP[3] + P[12][3]*SPP[5] - (P[11][3]*q0)/2); - nextP[2][5] = P[2][5] + P[0][5]*SF[3] + P[3][5]*SF[5] + P[1][5]*SPP[6] - P[10][5]*SPP[3] + P[12][5]*SPP[5] - (P[11][5]*q0)/2 + SF[1]*(P[2][0] + P[0][0]*SF[3] + P[3][0]*SF[5] + P[1][0]*SPP[6] - P[10][0]*SPP[3] + P[12][0]*SPP[5] - (P[11][0]*q0)/2) + SF[0]*(P[2][2] + P[0][2]*SF[3] + P[3][2]*SF[5] + P[1][2]*SPP[6] - P[10][2]*SPP[3] + P[12][2]*SPP[5] - (P[11][2]*q0)/2) + SF[2]*(P[2][3] + P[0][3]*SF[3] + P[3][3]*SF[5] + P[1][3]*SPP[6] - P[10][3]*SPP[3] + P[12][3]*SPP[5] - (P[11][3]*q0)/2) - SPP[0]*(P[2][1] + P[0][1]*SF[3] + P[3][1]*SF[5] + P[1][1]*SPP[6] - P[10][1]*SPP[3] + P[12][1]*SPP[5] - (P[11][1]*q0)/2); - nextP[2][6] = P[2][6] + P[0][6]*SF[3] + P[3][6]*SF[5] + P[1][6]*SPP[6] - P[10][6]*SPP[3] + P[12][6]*SPP[5] - (P[11][6]*q0)/2 + SF[1]*(P[2][1] + P[0][1]*SF[3] + P[3][1]*SF[5] + P[1][1]*SPP[6] - P[10][1]*SPP[3] + P[12][1]*SPP[5] - (P[11][1]*q0)/2) + SF[0]*(P[2][3] + P[0][3]*SF[3] + P[3][3]*SF[5] + P[1][3]*SPP[6] - P[10][3]*SPP[3] + P[12][3]*SPP[5] - (P[11][3]*q0)/2) + SPP[0]*(P[2][0] + P[0][0]*SF[3] + P[3][0]*SF[5] + P[1][0]*SPP[6] - P[10][0]*SPP[3] + P[12][0]*SPP[5] - (P[11][0]*q0)/2) - SPP[1]*(P[2][2] + P[0][2]*SF[3] + P[3][2]*SF[5] + P[1][2]*SPP[6] - P[10][2]*SPP[3] + P[12][2]*SPP[5] - (P[11][2]*q0)/2); - nextP[2][7] = P[2][7] + P[0][7]*SF[3] + P[3][7]*SF[5] + P[1][7]*SPP[6] - P[10][7]*SPP[3] + P[12][7]*SPP[5] - (P[11][7]*q0)/2 + dt*(P[2][4] + P[0][4]*SF[3] + P[3][4]*SF[5] + P[1][4]*SPP[6] - P[10][4]*SPP[3] + P[12][4]*SPP[5] - (P[11][4]*q0)/2); - nextP[2][8] = P[2][8] + P[0][8]*SF[3] + P[3][8]*SF[5] + P[1][8]*SPP[6] - P[10][8]*SPP[3] + P[12][8]*SPP[5] - (P[11][8]*q0)/2 + dt*(P[2][5] + P[0][5]*SF[3] + P[3][5]*SF[5] + P[1][5]*SPP[6] - P[10][5]*SPP[3] + P[12][5]*SPP[5] - (P[11][5]*q0)/2); - nextP[2][9] = P[2][9] + P[0][9]*SF[3] + P[3][9]*SF[5] + P[1][9]*SPP[6] - P[10][9]*SPP[3] + P[12][9]*SPP[5] - (P[11][9]*q0)/2 + dt*(P[2][6] + P[0][6]*SF[3] + P[3][6]*SF[5] + P[1][6]*SPP[6] - P[10][6]*SPP[3] + P[12][6]*SPP[5] - (P[11][6]*q0)/2); - nextP[2][10] = P[2][10] + P[0][10]*SF[3] + P[3][10]*SF[5] + P[1][10]*SPP[6] - P[10][10]*SPP[3] + P[12][10]*SPP[5] - (P[11][10]*q0)/2; - nextP[2][11] = P[2][11] + P[0][11]*SF[3] + P[3][11]*SF[5] + P[1][11]*SPP[6] - P[10][11]*SPP[3] + P[12][11]*SPP[5] - (P[11][11]*q0)/2; - nextP[2][12] = P[2][12] + P[0][12]*SF[3] + P[3][12]*SF[5] + P[1][12]*SPP[6] - P[10][12]*SPP[3] + P[12][12]*SPP[5] - (P[11][12]*q0)/2; - nextP[2][13] = P[2][13] + P[0][13]*SF[3] + P[3][13]*SF[5] + P[1][13]*SPP[6] - P[10][13]*SPP[3] + P[12][13]*SPP[5] - (P[11][13]*q0)/2; - nextP[2][14] = P[2][14] + P[0][14]*SF[3] + P[3][14]*SF[5] + P[1][14]*SPP[6] - P[10][14]*SPP[3] + P[12][14]*SPP[5] - (P[11][14]*q0)/2; - nextP[2][15] = P[2][15] + P[0][15]*SF[3] + P[3][15]*SF[5] + P[1][15]*SPP[6] - P[10][15]*SPP[3] + P[12][15]*SPP[5] - (P[11][15]*q0)/2; - nextP[2][16] = P[2][16] + P[0][16]*SF[3] + P[3][16]*SF[5] + P[1][16]*SPP[6] - P[10][16]*SPP[3] + P[12][16]*SPP[5] - (P[11][16]*q0)/2; - nextP[2][17] = P[2][17] + P[0][17]*SF[3] + P[3][17]*SF[5] + P[1][17]*SPP[6] - P[10][17]*SPP[3] + P[12][17]*SPP[5] - (P[11][17]*q0)/2; - nextP[2][18] = P[2][18] + P[0][18]*SF[3] + P[3][18]*SF[5] + P[1][18]*SPP[6] - P[10][18]*SPP[3] + P[12][18]*SPP[5] - (P[11][18]*q0)/2; - nextP[2][19] = P[2][19] + P[0][19]*SF[3] + P[3][19]*SF[5] + P[1][19]*SPP[6] - P[10][19]*SPP[3] + P[12][19]*SPP[5] - (P[11][19]*q0)/2; - nextP[2][20] = P[2][20] + P[0][20]*SF[3] + P[3][20]*SF[5] + P[1][20]*SPP[6] - P[10][20]*SPP[3] + P[12][20]*SPP[5] - (P[11][20]*q0)/2; - nextP[3][0] = P[3][0] + SQ[6] + P[0][0]*SF[4] + P[1][0]*SF[3] + P[2][0]*SF[6] + P[10][0]*SPP[4] - P[11][0]*SPP[5] - (P[12][0]*q0)/2 + SF[6]*(P[3][1] + P[0][1]*SF[4] + P[1][1]*SF[3] + P[2][1]*SF[6] + P[10][1]*SPP[4] - P[11][1]*SPP[5] - (P[12][1]*q0)/2) + SPP[7]*(P[3][2] + P[0][2]*SF[4] + P[1][2]*SF[3] + P[2][2]*SF[6] + P[10][2]*SPP[4] - P[11][2]*SPP[5] - (P[12][2]*q0)/2) + SPP[6]*(P[3][3] + P[0][3]*SF[4] + P[1][3]*SF[3] + P[2][3]*SF[6] + P[10][3]*SPP[4] - P[11][3]*SPP[5] - (P[12][3]*q0)/2) + SPP[5]*(P[3][10] + P[0][10]*SF[4] + P[1][10]*SF[3] + P[2][10]*SF[6] + P[10][10]*SPP[4] - P[11][10]*SPP[5] - (P[12][10]*q0)/2) + SPP[4]*(P[3][11] + P[0][11]*SF[4] + P[1][11]*SF[3] + P[2][11]*SF[6] + P[10][11]*SPP[4] - P[11][11]*SPP[5] - (P[12][11]*q0)/2) + SPP[3]*(P[3][12] + P[0][12]*SF[4] + P[1][12]*SF[3] + P[2][12]*SF[6] + P[10][12]*SPP[4] - P[11][12]*SPP[5] - (P[12][12]*q0)/2); - nextP[3][1] = P[3][1] + SQ[4] + P[0][1]*SF[4] + P[1][1]*SF[3] + P[2][1]*SF[6] + P[10][1]*SPP[4] - P[11][1]*SPP[5] - (P[12][1]*q0)/2 + SF[5]*(P[3][0] + P[0][0]*SF[4] + P[1][0]*SF[3] + P[2][0]*SF[6] + P[10][0]*SPP[4] - P[11][0]*SPP[5] - (P[12][0]*q0)/2) + SF[4]*(P[3][2] + P[0][2]*SF[4] + P[1][2]*SF[3] + P[2][2]*SF[6] + P[10][2]*SPP[4] - P[11][2]*SPP[5] - (P[12][2]*q0)/2) + SPP[7]*(P[3][3] + P[0][3]*SF[4] + P[1][3]*SF[3] + P[2][3]*SF[6] + P[10][3]*SPP[4] - P[11][3]*SPP[5] - (P[12][3]*q0)/2) + SPP[3]*(P[3][11] + P[0][11]*SF[4] + P[1][11]*SF[3] + P[2][11]*SF[6] + P[10][11]*SPP[4] - P[11][11]*SPP[5] - (P[12][11]*q0)/2) - SPP[4]*(P[3][12] + P[0][12]*SF[4] + P[1][12]*SF[3] + P[2][12]*SF[6] + P[10][12]*SPP[4] - P[11][12]*SPP[5] - (P[12][12]*q0)/2) - (q0*(P[3][10] + P[0][10]*SF[4] + P[1][10]*SF[3] + P[2][10]*SF[6] + P[10][10]*SPP[4] - P[11][10]*SPP[5] - (P[12][10]*q0)/2))/2; - nextP[3][2] = P[3][2] + SQ[3] + P[0][2]*SF[4] + P[1][2]*SF[3] + P[2][2]*SF[6] + P[10][2]*SPP[4] - P[11][2]*SPP[5] - (P[12][2]*q0)/2 + SF[3]*(P[3][0] + P[0][0]*SF[4] + P[1][0]*SF[3] + P[2][0]*SF[6] + P[10][0]*SPP[4] - P[11][0]*SPP[5] - (P[12][0]*q0)/2) + SF[5]*(P[3][3] + P[0][3]*SF[4] + P[1][3]*SF[3] + P[2][3]*SF[6] + P[10][3]*SPP[4] - P[11][3]*SPP[5] - (P[12][3]*q0)/2) + SPP[6]*(P[3][1] + P[0][1]*SF[4] + P[1][1]*SF[3] + P[2][1]*SF[6] + P[10][1]*SPP[4] - P[11][1]*SPP[5] - (P[12][1]*q0)/2) - SPP[3]*(P[3][10] + P[0][10]*SF[4] + P[1][10]*SF[3] + P[2][10]*SF[6] + P[10][10]*SPP[4] - P[11][10]*SPP[5] - (P[12][10]*q0)/2) + SPP[5]*(P[3][12] + P[0][12]*SF[4] + P[1][12]*SF[3] + P[2][12]*SF[6] + P[10][12]*SPP[4] - P[11][12]*SPP[5] - (P[12][12]*q0)/2) - (q0*(P[3][11] + P[0][11]*SF[4] + P[1][11]*SF[3] + P[2][11]*SF[6] + P[10][11]*SPP[4] - P[11][11]*SPP[5] - (P[12][11]*q0)/2))/2; - nextP[3][3] = P[3][3] + P[0][3]*SF[4] + P[1][3]*SF[3] + P[2][3]*SF[6] + P[10][3]*SPP[4] - P[11][3]*SPP[5] + (dayCov*SQ[10])/4 + dazCov*SQ[9] - (P[12][3]*q0)/2 + SF[4]*(P[3][0] + P[0][0]*SF[4] + P[1][0]*SF[3] + P[2][0]*SF[6] + P[10][0]*SPP[4] - P[11][0]*SPP[5] - (P[12][0]*q0)/2) + SF[3]*(P[3][1] + P[0][1]*SF[4] + P[1][1]*SF[3] + P[2][1]*SF[6] + P[10][1]*SPP[4] - P[11][1]*SPP[5] - (P[12][1]*q0)/2) + SF[6]*(P[3][2] + P[0][2]*SF[4] + P[1][2]*SF[3] + P[2][2]*SF[6] + P[10][2]*SPP[4] - P[11][2]*SPP[5] - (P[12][2]*q0)/2) + SPP[4]*(P[3][10] + P[0][10]*SF[4] + P[1][10]*SF[3] + P[2][10]*SF[6] + P[10][10]*SPP[4] - P[11][10]*SPP[5] - (P[12][10]*q0)/2) - SPP[5]*(P[3][11] + P[0][11]*SF[4] + P[1][11]*SF[3] + P[2][11]*SF[6] + P[10][11]*SPP[4] - P[11][11]*SPP[5] - (P[12][11]*q0)/2) + (daxCov*sq(q2))/4 - (q0*(P[3][12] + P[0][12]*SF[4] + P[1][12]*SF[3] + P[2][12]*SF[6] + P[10][12]*SPP[4] - P[11][12]*SPP[5] - (P[12][12]*q0)/2))/2; - nextP[3][4] = P[3][4] + P[0][4]*SF[4] + P[1][4]*SF[3] + P[2][4]*SF[6] + P[10][4]*SPP[4] - P[11][4]*SPP[5] - (P[12][4]*q0)/2 + SF[2]*(P[3][0] + P[0][0]*SF[4] + P[1][0]*SF[3] + P[2][0]*SF[6] + P[10][0]*SPP[4] - P[11][0]*SPP[5] - (P[12][0]*q0)/2) + SF[0]*(P[3][1] + P[0][1]*SF[4] + P[1][1]*SF[3] + P[2][1]*SF[6] + P[10][1]*SPP[4] - P[11][1]*SPP[5] - (P[12][1]*q0)/2) + SPP[0]*(P[3][2] + P[0][2]*SF[4] + P[1][2]*SF[3] + P[2][2]*SF[6] + P[10][2]*SPP[4] - P[11][2]*SPP[5] - (P[12][2]*q0)/2) - SPP[2]*(P[3][3] + P[0][3]*SF[4] + P[1][3]*SF[3] + P[2][3]*SF[6] + P[10][3]*SPP[4] - P[11][3]*SPP[5] - (P[12][3]*q0)/2); - nextP[3][5] = P[3][5] + P[0][5]*SF[4] + P[1][5]*SF[3] + P[2][5]*SF[6] + P[10][5]*SPP[4] - P[11][5]*SPP[5] - (P[12][5]*q0)/2 + SF[1]*(P[3][0] + P[0][0]*SF[4] + P[1][0]*SF[3] + P[2][0]*SF[6] + P[10][0]*SPP[4] - P[11][0]*SPP[5] - (P[12][0]*q0)/2) + SF[0]*(P[3][2] + P[0][2]*SF[4] + P[1][2]*SF[3] + P[2][2]*SF[6] + P[10][2]*SPP[4] - P[11][2]*SPP[5] - (P[12][2]*q0)/2) + SF[2]*(P[3][3] + P[0][3]*SF[4] + P[1][3]*SF[3] + P[2][3]*SF[6] + P[10][3]*SPP[4] - P[11][3]*SPP[5] - (P[12][3]*q0)/2) - SPP[0]*(P[3][1] + P[0][1]*SF[4] + P[1][1]*SF[3] + P[2][1]*SF[6] + P[10][1]*SPP[4] - P[11][1]*SPP[5] - (P[12][1]*q0)/2); - nextP[3][6] = P[3][6] + P[0][6]*SF[4] + P[1][6]*SF[3] + P[2][6]*SF[6] + P[10][6]*SPP[4] - P[11][6]*SPP[5] - (P[12][6]*q0)/2 + SF[1]*(P[3][1] + P[0][1]*SF[4] + P[1][1]*SF[3] + P[2][1]*SF[6] + P[10][1]*SPP[4] - P[11][1]*SPP[5] - (P[12][1]*q0)/2) + SF[0]*(P[3][3] + P[0][3]*SF[4] + P[1][3]*SF[3] + P[2][3]*SF[6] + P[10][3]*SPP[4] - P[11][3]*SPP[5] - (P[12][3]*q0)/2) + SPP[0]*(P[3][0] + P[0][0]*SF[4] + P[1][0]*SF[3] + P[2][0]*SF[6] + P[10][0]*SPP[4] - P[11][0]*SPP[5] - (P[12][0]*q0)/2) - SPP[1]*(P[3][2] + P[0][2]*SF[4] + P[1][2]*SF[3] + P[2][2]*SF[6] + P[10][2]*SPP[4] - P[11][2]*SPP[5] - (P[12][2]*q0)/2); - nextP[3][7] = P[3][7] + P[0][7]*SF[4] + P[1][7]*SF[3] + P[2][7]*SF[6] + P[10][7]*SPP[4] - P[11][7]*SPP[5] - (P[12][7]*q0)/2 + dt*(P[3][4] + P[0][4]*SF[4] + P[1][4]*SF[3] + P[2][4]*SF[6] + P[10][4]*SPP[4] - P[11][4]*SPP[5] - (P[12][4]*q0)/2); - nextP[3][8] = P[3][8] + P[0][8]*SF[4] + P[1][8]*SF[3] + P[2][8]*SF[6] + P[10][8]*SPP[4] - P[11][8]*SPP[5] - (P[12][8]*q0)/2 + dt*(P[3][5] + P[0][5]*SF[4] + P[1][5]*SF[3] + P[2][5]*SF[6] + P[10][5]*SPP[4] - P[11][5]*SPP[5] - (P[12][5]*q0)/2); - nextP[3][9] = P[3][9] + P[0][9]*SF[4] + P[1][9]*SF[3] + P[2][9]*SF[6] + P[10][9]*SPP[4] - P[11][9]*SPP[5] - (P[12][9]*q0)/2 + dt*(P[3][6] + P[0][6]*SF[4] + P[1][6]*SF[3] + P[2][6]*SF[6] + P[10][6]*SPP[4] - P[11][6]*SPP[5] - (P[12][6]*q0)/2); - nextP[3][10] = P[3][10] + P[0][10]*SF[4] + P[1][10]*SF[3] + P[2][10]*SF[6] + P[10][10]*SPP[4] - P[11][10]*SPP[5] - (P[12][10]*q0)/2; - nextP[3][11] = P[3][11] + P[0][11]*SF[4] + P[1][11]*SF[3] + P[2][11]*SF[6] + P[10][11]*SPP[4] - P[11][11]*SPP[5] - (P[12][11]*q0)/2; - nextP[3][12] = P[3][12] + P[0][12]*SF[4] + P[1][12]*SF[3] + P[2][12]*SF[6] + P[10][12]*SPP[4] - P[11][12]*SPP[5] - (P[12][12]*q0)/2; - nextP[3][13] = P[3][13] + P[0][13]*SF[4] + P[1][13]*SF[3] + P[2][13]*SF[6] + P[10][13]*SPP[4] - P[11][13]*SPP[5] - (P[12][13]*q0)/2; - nextP[3][14] = P[3][14] + P[0][14]*SF[4] + P[1][14]*SF[3] + P[2][14]*SF[6] + P[10][14]*SPP[4] - P[11][14]*SPP[5] - (P[12][14]*q0)/2; - nextP[3][15] = P[3][15] + P[0][15]*SF[4] + P[1][15]*SF[3] + P[2][15]*SF[6] + P[10][15]*SPP[4] - P[11][15]*SPP[5] - (P[12][15]*q0)/2; - nextP[3][16] = P[3][16] + P[0][16]*SF[4] + P[1][16]*SF[3] + P[2][16]*SF[6] + P[10][16]*SPP[4] - P[11][16]*SPP[5] - (P[12][16]*q0)/2; - nextP[3][17] = P[3][17] + P[0][17]*SF[4] + P[1][17]*SF[3] + P[2][17]*SF[6] + P[10][17]*SPP[4] - P[11][17]*SPP[5] - (P[12][17]*q0)/2; - nextP[3][18] = P[3][18] + P[0][18]*SF[4] + P[1][18]*SF[3] + P[2][18]*SF[6] + P[10][18]*SPP[4] - P[11][18]*SPP[5] - (P[12][18]*q0)/2; - nextP[3][19] = P[3][19] + P[0][19]*SF[4] + P[1][19]*SF[3] + P[2][19]*SF[6] + P[10][19]*SPP[4] - P[11][19]*SPP[5] - (P[12][19]*q0)/2; - nextP[3][20] = P[3][20] + P[0][20]*SF[4] + P[1][20]*SF[3] + P[2][20]*SF[6] + P[10][20]*SPP[4] - P[11][20]*SPP[5] - (P[12][20]*q0)/2; - nextP[4][0] = P[4][0] + P[0][0]*SF[2] + P[1][0]*SF[0] + P[2][0]*SPP[0] - P[3][0]*SPP[2] + SF[6]*(P[4][1] + P[0][1]*SF[2] + P[1][1]*SF[0] + P[2][1]*SPP[0] - P[3][1]*SPP[2]) + SPP[7]*(P[4][2] + P[0][2]*SF[2] + P[1][2]*SF[0] + P[2][2]*SPP[0] - P[3][2]*SPP[2]) + SPP[6]*(P[4][3] + P[0][3]*SF[2] + P[1][3]*SF[0] + P[2][3]*SPP[0] - P[3][3]*SPP[2]) + SPP[5]*(P[4][10] + P[0][10]*SF[2] + P[1][10]*SF[0] + P[2][10]*SPP[0] - P[3][10]*SPP[2]) + SPP[4]*(P[4][11] + P[0][11]*SF[2] + P[1][11]*SF[0] + P[2][11]*SPP[0] - P[3][11]*SPP[2]) + SPP[3]*(P[4][12] + P[0][12]*SF[2] + P[1][12]*SF[0] + P[2][12]*SPP[0] - P[3][12]*SPP[2]); - nextP[4][1] = P[4][1] + P[0][1]*SF[2] + P[1][1]*SF[0] + P[2][1]*SPP[0] - P[3][1]*SPP[2] + SF[5]*(P[4][0] + P[0][0]*SF[2] + P[1][0]*SF[0] + P[2][0]*SPP[0] - P[3][0]*SPP[2]) + SF[4]*(P[4][2] + P[0][2]*SF[2] + P[1][2]*SF[0] + P[2][2]*SPP[0] - P[3][2]*SPP[2]) + SPP[7]*(P[4][3] + P[0][3]*SF[2] + P[1][3]*SF[0] + P[2][3]*SPP[0] - P[3][3]*SPP[2]) + SPP[3]*(P[4][11] + P[0][11]*SF[2] + P[1][11]*SF[0] + P[2][11]*SPP[0] - P[3][11]*SPP[2]) - SPP[4]*(P[4][12] + P[0][12]*SF[2] + P[1][12]*SF[0] + P[2][12]*SPP[0] - P[3][12]*SPP[2]) - (q0*(P[4][10] + P[0][10]*SF[2] + P[1][10]*SF[0] + P[2][10]*SPP[0] - P[3][10]*SPP[2]))/2; - nextP[4][2] = P[4][2] + P[0][2]*SF[2] + P[1][2]*SF[0] + P[2][2]*SPP[0] - P[3][2]*SPP[2] + SF[3]*(P[4][0] + P[0][0]*SF[2] + P[1][0]*SF[0] + P[2][0]*SPP[0] - P[3][0]*SPP[2]) + SF[5]*(P[4][3] + P[0][3]*SF[2] + P[1][3]*SF[0] + P[2][3]*SPP[0] - P[3][3]*SPP[2]) + SPP[6]*(P[4][1] + P[0][1]*SF[2] + P[1][1]*SF[0] + P[2][1]*SPP[0] - P[3][1]*SPP[2]) - SPP[3]*(P[4][10] + P[0][10]*SF[2] + P[1][10]*SF[0] + P[2][10]*SPP[0] - P[3][10]*SPP[2]) + SPP[5]*(P[4][12] + P[0][12]*SF[2] + P[1][12]*SF[0] + P[2][12]*SPP[0] - P[3][12]*SPP[2]) - (q0*(P[4][11] + P[0][11]*SF[2] + P[1][11]*SF[0] + P[2][11]*SPP[0] - P[3][11]*SPP[2]))/2; - nextP[4][3] = P[4][3] + P[0][3]*SF[2] + P[1][3]*SF[0] + P[2][3]*SPP[0] - P[3][3]*SPP[2] + SF[4]*(P[4][0] + P[0][0]*SF[2] + P[1][0]*SF[0] + P[2][0]*SPP[0] - P[3][0]*SPP[2]) + SF[3]*(P[4][1] + P[0][1]*SF[2] + P[1][1]*SF[0] + P[2][1]*SPP[0] - P[3][1]*SPP[2]) + SF[6]*(P[4][2] + P[0][2]*SF[2] + P[1][2]*SF[0] + P[2][2]*SPP[0] - P[3][2]*SPP[2]) + SPP[4]*(P[4][10] + P[0][10]*SF[2] + P[1][10]*SF[0] + P[2][10]*SPP[0] - P[3][10]*SPP[2]) - SPP[5]*(P[4][11] + P[0][11]*SF[2] + P[1][11]*SF[0] + P[2][11]*SPP[0] - P[3][11]*SPP[2]) - (q0*(P[4][12] + P[0][12]*SF[2] + P[1][12]*SF[0] + P[2][12]*SPP[0] - P[3][12]*SPP[2]))/2; - nextP[4][4] = P[4][4] + P[0][4]*SF[2] + P[1][4]*SF[0] + P[2][4]*SPP[0] - P[3][4]*SPP[2] + dvyCov*sq(SG[7] - 2*q0*q3) + dvzCov*sq(SG[6] + 2*q0*q2) + SF[2]*(P[4][0] + P[0][0]*SF[2] + P[1][0]*SF[0] + P[2][0]*SPP[0] - P[3][0]*SPP[2]) + SF[0]*(P[4][1] + P[0][1]*SF[2] + P[1][1]*SF[0] + P[2][1]*SPP[0] - P[3][1]*SPP[2]) + SPP[0]*(P[4][2] + P[0][2]*SF[2] + P[1][2]*SF[0] + P[2][2]*SPP[0] - P[3][2]*SPP[2]) - SPP[2]*(P[4][3] + P[0][3]*SF[2] + P[1][3]*SF[0] + P[2][3]*SPP[0] - P[3][3]*SPP[2]) + dvxCov*sq(SG[1] + SG[2] - SG[3] - SG[4]); - nextP[4][5] = P[4][5] + SQ[2] + P[0][5]*SF[2] + P[1][5]*SF[0] + P[2][5]*SPP[0] - P[3][5]*SPP[2] + SF[1]*(P[4][0] + P[0][0]*SF[2] + P[1][0]*SF[0] + P[2][0]*SPP[0] - P[3][0]*SPP[2]) + SF[0]*(P[4][2] + P[0][2]*SF[2] + P[1][2]*SF[0] + P[2][2]*SPP[0] - P[3][2]*SPP[2]) + SF[2]*(P[4][3] + P[0][3]*SF[2] + P[1][3]*SF[0] + P[2][3]*SPP[0] - P[3][3]*SPP[2]) - SPP[0]*(P[4][1] + P[0][1]*SF[2] + P[1][1]*SF[0] + P[2][1]*SPP[0] - P[3][1]*SPP[2]); - nextP[4][6] = P[4][6] + SQ[1] + P[0][6]*SF[2] + P[1][6]*SF[0] + P[2][6]*SPP[0] - P[3][6]*SPP[2] + SF[1]*(P[4][1] + P[0][1]*SF[2] + P[1][1]*SF[0] + P[2][1]*SPP[0] - P[3][1]*SPP[2]) + SF[0]*(P[4][3] + P[0][3]*SF[2] + P[1][3]*SF[0] + P[2][3]*SPP[0] - P[3][3]*SPP[2]) + SPP[0]*(P[4][0] + P[0][0]*SF[2] + P[1][0]*SF[0] + P[2][0]*SPP[0] - P[3][0]*SPP[2]) - SPP[1]*(P[4][2] + P[0][2]*SF[2] + P[1][2]*SF[0] + P[2][2]*SPP[0] - P[3][2]*SPP[2]); - nextP[4][7] = P[4][7] + P[0][7]*SF[2] + P[1][7]*SF[0] + P[2][7]*SPP[0] - P[3][7]*SPP[2] + dt*(P[4][4] + P[0][4]*SF[2] + P[1][4]*SF[0] + P[2][4]*SPP[0] - P[3][4]*SPP[2]); - nextP[4][8] = P[4][8] + P[0][8]*SF[2] + P[1][8]*SF[0] + P[2][8]*SPP[0] - P[3][8]*SPP[2] + dt*(P[4][5] + P[0][5]*SF[2] + P[1][5]*SF[0] + P[2][5]*SPP[0] - P[3][5]*SPP[2]); - nextP[4][9] = P[4][9] + P[0][9]*SF[2] + P[1][9]*SF[0] + P[2][9]*SPP[0] - P[3][9]*SPP[2] + dt*(P[4][6] + P[0][6]*SF[2] + P[1][6]*SF[0] + P[2][6]*SPP[0] - P[3][6]*SPP[2]); - nextP[4][10] = P[4][10] + P[0][10]*SF[2] + P[1][10]*SF[0] + P[2][10]*SPP[0] - P[3][10]*SPP[2]; - nextP[4][11] = P[4][11] + P[0][11]*SF[2] + P[1][11]*SF[0] + P[2][11]*SPP[0] - P[3][11]*SPP[2]; - nextP[4][12] = P[4][12] + P[0][12]*SF[2] + P[1][12]*SF[0] + P[2][12]*SPP[0] - P[3][12]*SPP[2]; - nextP[4][13] = P[4][13] + P[0][13]*SF[2] + P[1][13]*SF[0] + P[2][13]*SPP[0] - P[3][13]*SPP[2]; - nextP[4][14] = P[4][14] + P[0][14]*SF[2] + P[1][14]*SF[0] + P[2][14]*SPP[0] - P[3][14]*SPP[2]; - nextP[4][15] = P[4][15] + P[0][15]*SF[2] + P[1][15]*SF[0] + P[2][15]*SPP[0] - P[3][15]*SPP[2]; - nextP[4][16] = P[4][16] + P[0][16]*SF[2] + P[1][16]*SF[0] + P[2][16]*SPP[0] - P[3][16]*SPP[2]; - nextP[4][17] = P[4][17] + P[0][17]*SF[2] + P[1][17]*SF[0] + P[2][17]*SPP[0] - P[3][17]*SPP[2]; - nextP[4][18] = P[4][18] + P[0][18]*SF[2] + P[1][18]*SF[0] + P[2][18]*SPP[0] - P[3][18]*SPP[2]; - nextP[4][19] = P[4][19] + P[0][19]*SF[2] + P[1][19]*SF[0] + P[2][19]*SPP[0] - P[3][19]*SPP[2]; - nextP[4][20] = P[4][20] + P[0][20]*SF[2] + P[1][20]*SF[0] + P[2][20]*SPP[0] - P[3][20]*SPP[2]; - nextP[5][0] = P[5][0] + P[0][0]*SF[1] + P[2][0]*SF[0] + P[3][0]*SF[2] - P[1][0]*SPP[0] + SF[6]*(P[5][1] + P[0][1]*SF[1] + P[2][1]*SF[0] + P[3][1]*SF[2] - P[1][1]*SPP[0]) + SPP[7]*(P[5][2] + P[0][2]*SF[1] + P[2][2]*SF[0] + P[3][2]*SF[2] - P[1][2]*SPP[0]) + SPP[6]*(P[5][3] + P[0][3]*SF[1] + P[2][3]*SF[0] + P[3][3]*SF[2] - P[1][3]*SPP[0]) + SPP[5]*(P[5][10] + P[0][10]*SF[1] + P[2][10]*SF[0] + P[3][10]*SF[2] - P[1][10]*SPP[0]) + SPP[4]*(P[5][11] + P[0][11]*SF[1] + P[2][11]*SF[0] + P[3][11]*SF[2] - P[1][11]*SPP[0]) + SPP[3]*(P[5][12] + P[0][12]*SF[1] + P[2][12]*SF[0] + P[3][12]*SF[2] - P[1][12]*SPP[0]); - nextP[5][1] = P[5][1] + P[0][1]*SF[1] + P[2][1]*SF[0] + P[3][1]*SF[2] - P[1][1]*SPP[0] + SF[5]*(P[5][0] + P[0][0]*SF[1] + P[2][0]*SF[0] + P[3][0]*SF[2] - P[1][0]*SPP[0]) + SF[4]*(P[5][2] + P[0][2]*SF[1] + P[2][2]*SF[0] + P[3][2]*SF[2] - P[1][2]*SPP[0]) + SPP[7]*(P[5][3] + P[0][3]*SF[1] + P[2][3]*SF[0] + P[3][3]*SF[2] - P[1][3]*SPP[0]) + SPP[3]*(P[5][11] + P[0][11]*SF[1] + P[2][11]*SF[0] + P[3][11]*SF[2] - P[1][11]*SPP[0]) - SPP[4]*(P[5][12] + P[0][12]*SF[1] + P[2][12]*SF[0] + P[3][12]*SF[2] - P[1][12]*SPP[0]) - (q0*(P[5][10] + P[0][10]*SF[1] + P[2][10]*SF[0] + P[3][10]*SF[2] - P[1][10]*SPP[0]))/2; - nextP[5][2] = P[5][2] + P[0][2]*SF[1] + P[2][2]*SF[0] + P[3][2]*SF[2] - P[1][2]*SPP[0] + SF[3]*(P[5][0] + P[0][0]*SF[1] + P[2][0]*SF[0] + P[3][0]*SF[2] - P[1][0]*SPP[0]) + SF[5]*(P[5][3] + P[0][3]*SF[1] + P[2][3]*SF[0] + P[3][3]*SF[2] - P[1][3]*SPP[0]) + SPP[6]*(P[5][1] + P[0][1]*SF[1] + P[2][1]*SF[0] + P[3][1]*SF[2] - P[1][1]*SPP[0]) - SPP[3]*(P[5][10] + P[0][10]*SF[1] + P[2][10]*SF[0] + P[3][10]*SF[2] - P[1][10]*SPP[0]) + SPP[5]*(P[5][12] + P[0][12]*SF[1] + P[2][12]*SF[0] + P[3][12]*SF[2] - P[1][12]*SPP[0]) - (q0*(P[5][11] + P[0][11]*SF[1] + P[2][11]*SF[0] + P[3][11]*SF[2] - P[1][11]*SPP[0]))/2; - nextP[5][3] = P[5][3] + P[0][3]*SF[1] + P[2][3]*SF[0] + P[3][3]*SF[2] - P[1][3]*SPP[0] + SF[4]*(P[5][0] + P[0][0]*SF[1] + P[2][0]*SF[0] + P[3][0]*SF[2] - P[1][0]*SPP[0]) + SF[3]*(P[5][1] + P[0][1]*SF[1] + P[2][1]*SF[0] + P[3][1]*SF[2] - P[1][1]*SPP[0]) + SF[6]*(P[5][2] + P[0][2]*SF[1] + P[2][2]*SF[0] + P[3][2]*SF[2] - P[1][2]*SPP[0]) + SPP[4]*(P[5][10] + P[0][10]*SF[1] + P[2][10]*SF[0] + P[3][10]*SF[2] - P[1][10]*SPP[0]) - SPP[5]*(P[5][11] + P[0][11]*SF[1] + P[2][11]*SF[0] + P[3][11]*SF[2] - P[1][11]*SPP[0]) - (q0*(P[5][12] + P[0][12]*SF[1] + P[2][12]*SF[0] + P[3][12]*SF[2] - P[1][12]*SPP[0]))/2; - nextP[5][4] = P[5][4] + SQ[2] + P[0][4]*SF[1] + P[2][4]*SF[0] + P[3][4]*SF[2] - P[1][4]*SPP[0] + SF[2]*(P[5][0] + P[0][0]*SF[1] + P[2][0]*SF[0] + P[3][0]*SF[2] - P[1][0]*SPP[0]) + SF[0]*(P[5][1] + P[0][1]*SF[1] + P[2][1]*SF[0] + P[3][1]*SF[2] - P[1][1]*SPP[0]) + SPP[0]*(P[5][2] + P[0][2]*SF[1] + P[2][2]*SF[0] + P[3][2]*SF[2] - P[1][2]*SPP[0]) - SPP[2]*(P[5][3] + P[0][3]*SF[1] + P[2][3]*SF[0] + P[3][3]*SF[2] - P[1][3]*SPP[0]); - nextP[5][5] = P[5][5] + P[0][5]*SF[1] + P[2][5]*SF[0] + P[3][5]*SF[2] - P[1][5]*SPP[0] + dvxCov*sq(SG[7] + 2*q0*q3) + dvzCov*sq(SG[5] - 2*q0*q1) + SF[1]*(P[5][0] + P[0][0]*SF[1] + P[2][0]*SF[0] + P[3][0]*SF[2] - P[1][0]*SPP[0]) + SF[0]*(P[5][2] + P[0][2]*SF[1] + P[2][2]*SF[0] + P[3][2]*SF[2] - P[1][2]*SPP[0]) + SF[2]*(P[5][3] + P[0][3]*SF[1] + P[2][3]*SF[0] + P[3][3]*SF[2] - P[1][3]*SPP[0]) - SPP[0]*(P[5][1] + P[0][1]*SF[1] + P[2][1]*SF[0] + P[3][1]*SF[2] - P[1][1]*SPP[0]) + dvyCov*sq(SG[1] - SG[2] + SG[3] - SG[4]); - nextP[5][6] = P[5][6] + SQ[0] + P[0][6]*SF[1] + P[2][6]*SF[0] + P[3][6]*SF[2] - P[1][6]*SPP[0] + SF[1]*(P[5][1] + P[0][1]*SF[1] + P[2][1]*SF[0] + P[3][1]*SF[2] - P[1][1]*SPP[0]) + SF[0]*(P[5][3] + P[0][3]*SF[1] + P[2][3]*SF[0] + P[3][3]*SF[2] - P[1][3]*SPP[0]) + SPP[0]*(P[5][0] + P[0][0]*SF[1] + P[2][0]*SF[0] + P[3][0]*SF[2] - P[1][0]*SPP[0]) - SPP[1]*(P[5][2] + P[0][2]*SF[1] + P[2][2]*SF[0] + P[3][2]*SF[2] - P[1][2]*SPP[0]); - nextP[5][7] = P[5][7] + P[0][7]*SF[1] + P[2][7]*SF[0] + P[3][7]*SF[2] - P[1][7]*SPP[0] + dt*(P[5][4] + P[0][4]*SF[1] + P[2][4]*SF[0] + P[3][4]*SF[2] - P[1][4]*SPP[0]); - nextP[5][8] = P[5][8] + P[0][8]*SF[1] + P[2][8]*SF[0] + P[3][8]*SF[2] - P[1][8]*SPP[0] + dt*(P[5][5] + P[0][5]*SF[1] + P[2][5]*SF[0] + P[3][5]*SF[2] - P[1][5]*SPP[0]); - nextP[5][9] = P[5][9] + P[0][9]*SF[1] + P[2][9]*SF[0] + P[3][9]*SF[2] - P[1][9]*SPP[0] + dt*(P[5][6] + P[0][6]*SF[1] + P[2][6]*SF[0] + P[3][6]*SF[2] - P[1][6]*SPP[0]); - nextP[5][10] = P[5][10] + P[0][10]*SF[1] + P[2][10]*SF[0] + P[3][10]*SF[2] - P[1][10]*SPP[0]; - nextP[5][11] = P[5][11] + P[0][11]*SF[1] + P[2][11]*SF[0] + P[3][11]*SF[2] - P[1][11]*SPP[0]; - nextP[5][12] = P[5][12] + P[0][12]*SF[1] + P[2][12]*SF[0] + P[3][12]*SF[2] - P[1][12]*SPP[0]; - nextP[5][13] = P[5][13] + P[0][13]*SF[1] + P[2][13]*SF[0] + P[3][13]*SF[2] - P[1][13]*SPP[0]; - nextP[5][14] = P[5][14] + P[0][14]*SF[1] + P[2][14]*SF[0] + P[3][14]*SF[2] - P[1][14]*SPP[0]; - nextP[5][15] = P[5][15] + P[0][15]*SF[1] + P[2][15]*SF[0] + P[3][15]*SF[2] - P[1][15]*SPP[0]; - nextP[5][16] = P[5][16] + P[0][16]*SF[1] + P[2][16]*SF[0] + P[3][16]*SF[2] - P[1][16]*SPP[0]; - nextP[5][17] = P[5][17] + P[0][17]*SF[1] + P[2][17]*SF[0] + P[3][17]*SF[2] - P[1][17]*SPP[0]; - nextP[5][18] = P[5][18] + P[0][18]*SF[1] + P[2][18]*SF[0] + P[3][18]*SF[2] - P[1][18]*SPP[0]; - nextP[5][19] = P[5][19] + P[0][19]*SF[1] + P[2][19]*SF[0] + P[3][19]*SF[2] - P[1][19]*SPP[0]; - nextP[5][20] = P[5][20] + P[0][20]*SF[1] + P[2][20]*SF[0] + P[3][20]*SF[2] - P[1][20]*SPP[0]; - nextP[6][0] = P[6][0] + P[1][0]*SF[1] + P[3][0]*SF[0] + P[0][0]*SPP[0] - P[2][0]*SPP[1] + SF[6]*(P[6][1] + P[1][1]*SF[1] + P[3][1]*SF[0] + P[0][1]*SPP[0] - P[2][1]*SPP[1]) + SPP[7]*(P[6][2] + P[1][2]*SF[1] + P[3][2]*SF[0] + P[0][2]*SPP[0] - P[2][2]*SPP[1]) + SPP[6]*(P[6][3] + P[1][3]*SF[1] + P[3][3]*SF[0] + P[0][3]*SPP[0] - P[2][3]*SPP[1]) + SPP[5]*(P[6][10] + P[1][10]*SF[1] + P[3][10]*SF[0] + P[0][10]*SPP[0] - P[2][10]*SPP[1]) + SPP[4]*(P[6][11] + P[1][11]*SF[1] + P[3][11]*SF[0] + P[0][11]*SPP[0] - P[2][11]*SPP[1]) + SPP[3]*(P[6][12] + P[1][12]*SF[1] + P[3][12]*SF[0] + P[0][12]*SPP[0] - P[2][12]*SPP[1]); - nextP[6][1] = P[6][1] + P[1][1]*SF[1] + P[3][1]*SF[0] + P[0][1]*SPP[0] - P[2][1]*SPP[1] + SF[5]*(P[6][0] + P[1][0]*SF[1] + P[3][0]*SF[0] + P[0][0]*SPP[0] - P[2][0]*SPP[1]) + SF[4]*(P[6][2] + P[1][2]*SF[1] + P[3][2]*SF[0] + P[0][2]*SPP[0] - P[2][2]*SPP[1]) + SPP[7]*(P[6][3] + P[1][3]*SF[1] + P[3][3]*SF[0] + P[0][3]*SPP[0] - P[2][3]*SPP[1]) + SPP[3]*(P[6][11] + P[1][11]*SF[1] + P[3][11]*SF[0] + P[0][11]*SPP[0] - P[2][11]*SPP[1]) - SPP[4]*(P[6][12] + P[1][12]*SF[1] + P[3][12]*SF[0] + P[0][12]*SPP[0] - P[2][12]*SPP[1]) - (q0*(P[6][10] + P[1][10]*SF[1] + P[3][10]*SF[0] + P[0][10]*SPP[0] - P[2][10]*SPP[1]))/2; - nextP[6][2] = P[6][2] + P[1][2]*SF[1] + P[3][2]*SF[0] + P[0][2]*SPP[0] - P[2][2]*SPP[1] + SF[3]*(P[6][0] + P[1][0]*SF[1] + P[3][0]*SF[0] + P[0][0]*SPP[0] - P[2][0]*SPP[1]) + SF[5]*(P[6][3] + P[1][3]*SF[1] + P[3][3]*SF[0] + P[0][3]*SPP[0] - P[2][3]*SPP[1]) + SPP[6]*(P[6][1] + P[1][1]*SF[1] + P[3][1]*SF[0] + P[0][1]*SPP[0] - P[2][1]*SPP[1]) - SPP[3]*(P[6][10] + P[1][10]*SF[1] + P[3][10]*SF[0] + P[0][10]*SPP[0] - P[2][10]*SPP[1]) + SPP[5]*(P[6][12] + P[1][12]*SF[1] + P[3][12]*SF[0] + P[0][12]*SPP[0] - P[2][12]*SPP[1]) - (q0*(P[6][11] + P[1][11]*SF[1] + P[3][11]*SF[0] + P[0][11]*SPP[0] - P[2][11]*SPP[1]))/2; - nextP[6][3] = P[6][3] + P[1][3]*SF[1] + P[3][3]*SF[0] + P[0][3]*SPP[0] - P[2][3]*SPP[1] + SF[4]*(P[6][0] + P[1][0]*SF[1] + P[3][0]*SF[0] + P[0][0]*SPP[0] - P[2][0]*SPP[1]) + SF[3]*(P[6][1] + P[1][1]*SF[1] + P[3][1]*SF[0] + P[0][1]*SPP[0] - P[2][1]*SPP[1]) + SF[6]*(P[6][2] + P[1][2]*SF[1] + P[3][2]*SF[0] + P[0][2]*SPP[0] - P[2][2]*SPP[1]) + SPP[4]*(P[6][10] + P[1][10]*SF[1] + P[3][10]*SF[0] + P[0][10]*SPP[0] - P[2][10]*SPP[1]) - SPP[5]*(P[6][11] + P[1][11]*SF[1] + P[3][11]*SF[0] + P[0][11]*SPP[0] - P[2][11]*SPP[1]) - (q0*(P[6][12] + P[1][12]*SF[1] + P[3][12]*SF[0] + P[0][12]*SPP[0] - P[2][12]*SPP[1]))/2; - nextP[6][4] = P[6][4] + SQ[1] + P[1][4]*SF[1] + P[3][4]*SF[0] + P[0][4]*SPP[0] - P[2][4]*SPP[1] + SF[2]*(P[6][0] + P[1][0]*SF[1] + P[3][0]*SF[0] + P[0][0]*SPP[0] - P[2][0]*SPP[1]) + SF[0]*(P[6][1] + P[1][1]*SF[1] + P[3][1]*SF[0] + P[0][1]*SPP[0] - P[2][1]*SPP[1]) + SPP[0]*(P[6][2] + P[1][2]*SF[1] + P[3][2]*SF[0] + P[0][2]*SPP[0] - P[2][2]*SPP[1]) - SPP[2]*(P[6][3] + P[1][3]*SF[1] + P[3][3]*SF[0] + P[0][3]*SPP[0] - P[2][3]*SPP[1]); - nextP[6][5] = P[6][5] + SQ[0] + P[1][5]*SF[1] + P[3][5]*SF[0] + P[0][5]*SPP[0] - P[2][5]*SPP[1] + SF[1]*(P[6][0] + P[1][0]*SF[1] + P[3][0]*SF[0] + P[0][0]*SPP[0] - P[2][0]*SPP[1]) + SF[0]*(P[6][2] + P[1][2]*SF[1] + P[3][2]*SF[0] + P[0][2]*SPP[0] - P[2][2]*SPP[1]) + SF[2]*(P[6][3] + P[1][3]*SF[1] + P[3][3]*SF[0] + P[0][3]*SPP[0] - P[2][3]*SPP[1]) - SPP[0]*(P[6][1] + P[1][1]*SF[1] + P[3][1]*SF[0] + P[0][1]*SPP[0] - P[2][1]*SPP[1]); - nextP[6][6] = P[6][6] + P[1][6]*SF[1] + P[3][6]*SF[0] + P[0][6]*SPP[0] - P[2][6]*SPP[1] + dvxCov*sq(SG[6] - 2*q0*q2) + dvyCov*sq(SG[5] + 2*q0*q1) + SF[1]*(P[6][1] + P[1][1]*SF[1] + P[3][1]*SF[0] + P[0][1]*SPP[0] - P[2][1]*SPP[1]) + SF[0]*(P[6][3] + P[1][3]*SF[1] + P[3][3]*SF[0] + P[0][3]*SPP[0] - P[2][3]*SPP[1]) + SPP[0]*(P[6][0] + P[1][0]*SF[1] + P[3][0]*SF[0] + P[0][0]*SPP[0] - P[2][0]*SPP[1]) - SPP[1]*(P[6][2] + P[1][2]*SF[1] + P[3][2]*SF[0] + P[0][2]*SPP[0] - P[2][2]*SPP[1]) + dvzCov*sq(SG[1] - SG[2] - SG[3] + SG[4]); - nextP[6][7] = P[6][7] + P[1][7]*SF[1] + P[3][7]*SF[0] + P[0][7]*SPP[0] - P[2][7]*SPP[1] + dt*(P[6][4] + P[1][4]*SF[1] + P[3][4]*SF[0] + P[0][4]*SPP[0] - P[2][4]*SPP[1]); - nextP[6][8] = P[6][8] + P[1][8]*SF[1] + P[3][8]*SF[0] + P[0][8]*SPP[0] - P[2][8]*SPP[1] + dt*(P[6][5] + P[1][5]*SF[1] + P[3][5]*SF[0] + P[0][5]*SPP[0] - P[2][5]*SPP[1]); - nextP[6][9] = P[6][9] + P[1][9]*SF[1] + P[3][9]*SF[0] + P[0][9]*SPP[0] - P[2][9]*SPP[1] + dt*(P[6][6] + P[1][6]*SF[1] + P[3][6]*SF[0] + P[0][6]*SPP[0] - P[2][6]*SPP[1]); - nextP[6][10] = P[6][10] + P[1][10]*SF[1] + P[3][10]*SF[0] + P[0][10]*SPP[0] - P[2][10]*SPP[1]; - nextP[6][11] = P[6][11] + P[1][11]*SF[1] + P[3][11]*SF[0] + P[0][11]*SPP[0] - P[2][11]*SPP[1]; - nextP[6][12] = P[6][12] + P[1][12]*SF[1] + P[3][12]*SF[0] + P[0][12]*SPP[0] - P[2][12]*SPP[1]; - nextP[6][13] = P[6][13] + P[1][13]*SF[1] + P[3][13]*SF[0] + P[0][13]*SPP[0] - P[2][13]*SPP[1]; - nextP[6][14] = P[6][14] + P[1][14]*SF[1] + P[3][14]*SF[0] + P[0][14]*SPP[0] - P[2][14]*SPP[1]; - nextP[6][15] = P[6][15] + P[1][15]*SF[1] + P[3][15]*SF[0] + P[0][15]*SPP[0] - P[2][15]*SPP[1]; - nextP[6][16] = P[6][16] + P[1][16]*SF[1] + P[3][16]*SF[0] + P[0][16]*SPP[0] - P[2][16]*SPP[1]; - nextP[6][17] = P[6][17] + P[1][17]*SF[1] + P[3][17]*SF[0] + P[0][17]*SPP[0] - P[2][17]*SPP[1]; - nextP[6][18] = P[6][18] + P[1][18]*SF[1] + P[3][18]*SF[0] + P[0][18]*SPP[0] - P[2][18]*SPP[1]; - nextP[6][19] = P[6][19] + P[1][19]*SF[1] + P[3][19]*SF[0] + P[0][19]*SPP[0] - P[2][19]*SPP[1]; - nextP[6][20] = P[6][20] + P[1][20]*SF[1] + P[3][20]*SF[0] + P[0][20]*SPP[0] - P[2][20]*SPP[1]; - nextP[7][0] = P[7][0] + P[4][0]*dt + SF[6]*(P[7][1] + P[4][1]*dt) + SPP[7]*(P[7][2] + P[4][2]*dt) + SPP[6]*(P[7][3] + P[4][3]*dt) + SPP[5]*(P[7][10] + P[4][10]*dt) + SPP[4]*(P[7][11] + P[4][11]*dt) + SPP[3]*(P[7][12] + P[4][12]*dt); - nextP[7][1] = P[7][1] + P[4][1]*dt + SF[5]*(P[7][0] + P[4][0]*dt) + SF[4]*(P[7][2] + P[4][2]*dt) + SPP[7]*(P[7][3] + P[4][3]*dt) + SPP[3]*(P[7][11] + P[4][11]*dt) - SPP[4]*(P[7][12] + P[4][12]*dt) - (q0*(P[7][10] + P[4][10]*dt))/2; - nextP[7][2] = P[7][2] + P[4][2]*dt + SF[3]*(P[7][0] + P[4][0]*dt) + SF[5]*(P[7][3] + P[4][3]*dt) + SPP[6]*(P[7][1] + P[4][1]*dt) - SPP[3]*(P[7][10] + P[4][10]*dt) + SPP[5]*(P[7][12] + P[4][12]*dt) - (q0*(P[7][11] + P[4][11]*dt))/2; - nextP[7][3] = P[7][3] + P[4][3]*dt + SF[4]*(P[7][0] + P[4][0]*dt) + SF[3]*(P[7][1] + P[4][1]*dt) + SF[6]*(P[7][2] + P[4][2]*dt) + SPP[4]*(P[7][10] + P[4][10]*dt) - SPP[5]*(P[7][11] + P[4][11]*dt) - (q0*(P[7][12] + P[4][12]*dt))/2; - nextP[7][4] = P[7][4] + P[4][4]*dt + SF[0]*(P[7][1] + P[4][1]*dt) + SF[2]*(P[7][0] + P[4][0]*dt) + SPP[0]*(P[7][2] + P[4][2]*dt) - SPP[2]*(P[7][3] + P[4][3]*dt); - nextP[7][5] = P[7][5] + P[4][5]*dt + SF[1]*(P[7][0] + P[4][0]*dt) + SF[0]*(P[7][2] + P[4][2]*dt) + SF[2]*(P[7][3] + P[4][3]*dt) - SPP[0]*(P[7][1] + P[4][1]*dt); - nextP[7][6] = P[7][6] + P[4][6]*dt + SF[1]*(P[7][1] + P[4][1]*dt) + SF[0]*(P[7][3] + P[4][3]*dt) + SPP[0]*(P[7][0] + P[4][0]*dt) - SPP[1]*(P[7][2] + P[4][2]*dt); - nextP[7][7] = P[7][7] + P[4][7]*dt + dt*(P[7][4] + P[4][4]*dt); - nextP[7][8] = P[7][8] + P[4][8]*dt + dt*(P[7][5] + P[4][5]*dt); - nextP[7][9] = P[7][9] + P[4][9]*dt + dt*(P[7][6] + P[4][6]*dt); - nextP[7][10] = P[7][10] + P[4][10]*dt; - nextP[7][11] = P[7][11] + P[4][11]*dt; - nextP[7][12] = P[7][12] + P[4][12]*dt; - nextP[7][13] = P[7][13] + P[4][13]*dt; - nextP[7][14] = P[7][14] + P[4][14]*dt; - nextP[7][15] = P[7][15] + P[4][15]*dt; - nextP[7][16] = P[7][16] + P[4][16]*dt; - nextP[7][17] = P[7][17] + P[4][17]*dt; - nextP[7][18] = P[7][18] + P[4][18]*dt; - nextP[7][19] = P[7][19] + P[4][19]*dt; - nextP[7][20] = P[7][20] + P[4][20]*dt; - nextP[8][0] = P[8][0] + P[5][0]*dt + SF[6]*(P[8][1] + P[5][1]*dt) + SPP[7]*(P[8][2] + P[5][2]*dt) + SPP[6]*(P[8][3] + P[5][3]*dt) + SPP[5]*(P[8][10] + P[5][10]*dt) + SPP[4]*(P[8][11] + P[5][11]*dt) + SPP[3]*(P[8][12] + P[5][12]*dt); - nextP[8][1] = P[8][1] + P[5][1]*dt + SF[5]*(P[8][0] + P[5][0]*dt) + SF[4]*(P[8][2] + P[5][2]*dt) + SPP[7]*(P[8][3] + P[5][3]*dt) + SPP[3]*(P[8][11] + P[5][11]*dt) - SPP[4]*(P[8][12] + P[5][12]*dt) - (q0*(P[8][10] + P[5][10]*dt))/2; - nextP[8][2] = P[8][2] + P[5][2]*dt + SF[3]*(P[8][0] + P[5][0]*dt) + SF[5]*(P[8][3] + P[5][3]*dt) + SPP[6]*(P[8][1] + P[5][1]*dt) - SPP[3]*(P[8][10] + P[5][10]*dt) + SPP[5]*(P[8][12] + P[5][12]*dt) - (q0*(P[8][11] + P[5][11]*dt))/2; - nextP[8][3] = P[8][3] + P[5][3]*dt + SF[4]*(P[8][0] + P[5][0]*dt) + SF[3]*(P[8][1] + P[5][1]*dt) + SF[6]*(P[8][2] + P[5][2]*dt) + SPP[4]*(P[8][10] + P[5][10]*dt) - SPP[5]*(P[8][11] + P[5][11]*dt) - (q0*(P[8][12] + P[5][12]*dt))/2; - nextP[8][4] = P[8][4] + P[5][4]*dt + SF[0]*(P[8][1] + P[5][1]*dt) + SF[2]*(P[8][0] + P[5][0]*dt) + SPP[0]*(P[8][2] + P[5][2]*dt) - SPP[2]*(P[8][3] + P[5][3]*dt); - nextP[8][5] = P[8][5] + P[5][5]*dt + SF[1]*(P[8][0] + P[5][0]*dt) + SF[0]*(P[8][2] + P[5][2]*dt) + SF[2]*(P[8][3] + P[5][3]*dt) - SPP[0]*(P[8][1] + P[5][1]*dt); - nextP[8][6] = P[8][6] + P[5][6]*dt + SF[1]*(P[8][1] + P[5][1]*dt) + SF[0]*(P[8][3] + P[5][3]*dt) + SPP[0]*(P[8][0] + P[5][0]*dt) - SPP[1]*(P[8][2] + P[5][2]*dt); - nextP[8][7] = P[8][7] + P[5][7]*dt + dt*(P[8][4] + P[5][4]*dt); - nextP[8][8] = P[8][8] + P[5][8]*dt + dt*(P[8][5] + P[5][5]*dt); - nextP[8][9] = P[8][9] + P[5][9]*dt + dt*(P[8][6] + P[5][6]*dt); - nextP[8][10] = P[8][10] + P[5][10]*dt; - nextP[8][11] = P[8][11] + P[5][11]*dt; - nextP[8][12] = P[8][12] + P[5][12]*dt; - nextP[8][13] = P[8][13] + P[5][13]*dt; - nextP[8][14] = P[8][14] + P[5][14]*dt; - nextP[8][15] = P[8][15] + P[5][15]*dt; - nextP[8][16] = P[8][16] + P[5][16]*dt; - nextP[8][17] = P[8][17] + P[5][17]*dt; - nextP[8][18] = P[8][18] + P[5][18]*dt; - nextP[8][19] = P[8][19] + P[5][19]*dt; - nextP[8][20] = P[8][20] + P[5][20]*dt; - nextP[9][0] = P[9][0] + P[6][0]*dt + SF[6]*(P[9][1] + P[6][1]*dt) + SPP[7]*(P[9][2] + P[6][2]*dt) + SPP[6]*(P[9][3] + P[6][3]*dt) + SPP[5]*(P[9][10] + P[6][10]*dt) + SPP[4]*(P[9][11] + P[6][11]*dt) + SPP[3]*(P[9][12] + P[6][12]*dt); - nextP[9][1] = P[9][1] + P[6][1]*dt + SF[5]*(P[9][0] + P[6][0]*dt) + SF[4]*(P[9][2] + P[6][2]*dt) + SPP[7]*(P[9][3] + P[6][3]*dt) + SPP[3]*(P[9][11] + P[6][11]*dt) - SPP[4]*(P[9][12] + P[6][12]*dt) - (q0*(P[9][10] + P[6][10]*dt))/2; - nextP[9][2] = P[9][2] + P[6][2]*dt + SF[3]*(P[9][0] + P[6][0]*dt) + SF[5]*(P[9][3] + P[6][3]*dt) + SPP[6]*(P[9][1] + P[6][1]*dt) - SPP[3]*(P[9][10] + P[6][10]*dt) + SPP[5]*(P[9][12] + P[6][12]*dt) - (q0*(P[9][11] + P[6][11]*dt))/2; - nextP[9][3] = P[9][3] + P[6][3]*dt + SF[4]*(P[9][0] + P[6][0]*dt) + SF[3]*(P[9][1] + P[6][1]*dt) + SF[6]*(P[9][2] + P[6][2]*dt) + SPP[4]*(P[9][10] + P[6][10]*dt) - SPP[5]*(P[9][11] + P[6][11]*dt) - (q0*(P[9][12] + P[6][12]*dt))/2; - nextP[9][4] = P[9][4] + P[6][4]*dt + SF[0]*(P[9][1] + P[6][1]*dt) + SF[2]*(P[9][0] + P[6][0]*dt) + SPP[0]*(P[9][2] + P[6][2]*dt) - SPP[2]*(P[9][3] + P[6][3]*dt); - nextP[9][5] = P[9][5] + P[6][5]*dt + SF[1]*(P[9][0] + P[6][0]*dt) + SF[0]*(P[9][2] + P[6][2]*dt) + SF[2]*(P[9][3] + P[6][3]*dt) - SPP[0]*(P[9][1] + P[6][1]*dt); - nextP[9][6] = P[9][6] + P[6][6]*dt + SF[1]*(P[9][1] + P[6][1]*dt) + SF[0]*(P[9][3] + P[6][3]*dt) + SPP[0]*(P[9][0] + P[6][0]*dt) - SPP[1]*(P[9][2] + P[6][2]*dt); - nextP[9][7] = P[9][7] + P[6][7]*dt + dt*(P[9][4] + P[6][4]*dt); - nextP[9][8] = P[9][8] + P[6][8]*dt + dt*(P[9][5] + P[6][5]*dt); - nextP[9][9] = P[9][9] + P[6][9]*dt + dt*(P[9][6] + P[6][6]*dt); - nextP[9][10] = P[9][10] + P[6][10]*dt; - nextP[9][11] = P[9][11] + P[6][11]*dt; - nextP[9][12] = P[9][12] + P[6][12]*dt; - nextP[9][13] = P[9][13] + P[6][13]*dt; - nextP[9][14] = P[9][14] + P[6][14]*dt; - nextP[9][15] = P[9][15] + P[6][15]*dt; - nextP[9][16] = P[9][16] + P[6][16]*dt; - nextP[9][17] = P[9][17] + P[6][17]*dt; - nextP[9][18] = P[9][18] + P[6][18]*dt; - nextP[9][19] = P[9][19] + P[6][19]*dt; - nextP[9][20] = P[9][20] + P[6][20]*dt; - nextP[10][0] = P[10][0] + P[10][1]*SF[6] + P[10][2]*SPP[7] + P[10][3]*SPP[6] + P[10][10]*SPP[5] + P[10][11]*SPP[4] + P[10][12]*SPP[3]; - nextP[10][1] = P[10][1] + P[10][0]*SF[5] + P[10][2]*SF[4] + P[10][3]*SPP[7] + P[10][11]*SPP[3] - P[10][12]*SPP[4] - (P[10][10]*q0)/2; - nextP[10][2] = P[10][2] + P[10][0]*SF[3] + P[10][3]*SF[5] + P[10][1]*SPP[6] - P[10][10]*SPP[3] + P[10][12]*SPP[5] - (P[10][11]*q0)/2; - nextP[10][3] = P[10][3] + P[10][0]*SF[4] + P[10][1]*SF[3] + P[10][2]*SF[6] + P[10][10]*SPP[4] - P[10][11]*SPP[5] - (P[10][12]*q0)/2; - nextP[10][4] = P[10][4] + P[10][1]*SF[0] + P[10][0]*SF[2] + P[10][2]*SPP[0] - P[10][3]*SPP[2]; - nextP[10][5] = P[10][5] + P[10][0]*SF[1] + P[10][2]*SF[0] + P[10][3]*SF[2] - P[10][1]*SPP[0]; - nextP[10][6] = P[10][6] + P[10][1]*SF[1] + P[10][3]*SF[0] + P[10][0]*SPP[0] - P[10][2]*SPP[1]; - nextP[10][7] = P[10][7] + P[10][4]*dt; - nextP[10][8] = P[10][8] + P[10][5]*dt; - nextP[10][9] = P[10][9] + P[10][6]*dt; - nextP[10][10] = P[10][10]; - nextP[10][11] = P[10][11]; - nextP[10][12] = P[10][12]; - nextP[10][13] = P[10][13]; - nextP[10][14] = P[10][14]; - nextP[10][15] = P[10][15]; - nextP[10][16] = P[10][16]; - nextP[10][17] = P[10][17]; - nextP[10][18] = P[10][18]; - nextP[10][19] = P[10][19]; - nextP[10][20] = P[10][20]; - nextP[11][0] = P[11][0] + P[11][1]*SF[6] + P[11][2]*SPP[7] + P[11][3]*SPP[6] + P[11][10]*SPP[5] + P[11][11]*SPP[4] + P[11][12]*SPP[3]; - nextP[11][1] = P[11][1] + P[11][0]*SF[5] + P[11][2]*SF[4] + P[11][3]*SPP[7] + P[11][11]*SPP[3] - P[11][12]*SPP[4] - (P[11][10]*q0)/2; - nextP[11][2] = P[11][2] + P[11][0]*SF[3] + P[11][3]*SF[5] + P[11][1]*SPP[6] - P[11][10]*SPP[3] + P[11][12]*SPP[5] - (P[11][11]*q0)/2; - nextP[11][3] = P[11][3] + P[11][0]*SF[4] + P[11][1]*SF[3] + P[11][2]*SF[6] + P[11][10]*SPP[4] - P[11][11]*SPP[5] - (P[11][12]*q0)/2; - nextP[11][4] = P[11][4] + P[11][1]*SF[0] + P[11][0]*SF[2] + P[11][2]*SPP[0] - P[11][3]*SPP[2]; - nextP[11][5] = P[11][5] + P[11][0]*SF[1] + P[11][2]*SF[0] + P[11][3]*SF[2] - P[11][1]*SPP[0]; - nextP[11][6] = P[11][6] + P[11][1]*SF[1] + P[11][3]*SF[0] + P[11][0]*SPP[0] - P[11][2]*SPP[1]; - nextP[11][7] = P[11][7] + P[11][4]*dt; - nextP[11][8] = P[11][8] + P[11][5]*dt; - nextP[11][9] = P[11][9] + P[11][6]*dt; - nextP[11][10] = P[11][10]; - nextP[11][11] = P[11][11]; - nextP[11][12] = P[11][12]; - nextP[11][13] = P[11][13]; - nextP[11][14] = P[11][14]; - nextP[11][15] = P[11][15]; - nextP[11][16] = P[11][16]; - nextP[11][17] = P[11][17]; - nextP[11][18] = P[11][18]; - nextP[11][19] = P[11][19]; - nextP[11][20] = P[11][20]; - nextP[12][0] = P[12][0] + P[12][1]*SF[6] + P[12][2]*SPP[7] + P[12][3]*SPP[6] + P[12][10]*SPP[5] + P[12][11]*SPP[4] + P[12][12]*SPP[3]; - nextP[12][1] = P[12][1] + P[12][0]*SF[5] + P[12][2]*SF[4] + P[12][3]*SPP[7] + P[12][11]*SPP[3] - P[12][12]*SPP[4] - (P[12][10]*q0)/2; - nextP[12][2] = P[12][2] + P[12][0]*SF[3] + P[12][3]*SF[5] + P[12][1]*SPP[6] - P[12][10]*SPP[3] + P[12][12]*SPP[5] - (P[12][11]*q0)/2; - nextP[12][3] = P[12][3] + P[12][0]*SF[4] + P[12][1]*SF[3] + P[12][2]*SF[6] + P[12][10]*SPP[4] - P[12][11]*SPP[5] - (P[12][12]*q0)/2; - nextP[12][4] = P[12][4] + P[12][1]*SF[0] + P[12][0]*SF[2] + P[12][2]*SPP[0] - P[12][3]*SPP[2]; - nextP[12][5] = P[12][5] + P[12][0]*SF[1] + P[12][2]*SF[0] + P[12][3]*SF[2] - P[12][1]*SPP[0]; - nextP[12][6] = P[12][6] + P[12][1]*SF[1] + P[12][3]*SF[0] + P[12][0]*SPP[0] - P[12][2]*SPP[1]; - nextP[12][7] = P[12][7] + P[12][4]*dt; - nextP[12][8] = P[12][8] + P[12][5]*dt; - nextP[12][9] = P[12][9] + P[12][6]*dt; - nextP[12][10] = P[12][10]; - nextP[12][11] = P[12][11]; - nextP[12][12] = P[12][12]; - nextP[12][13] = P[12][13]; - nextP[12][14] = P[12][14]; - nextP[12][15] = P[12][15]; - nextP[12][16] = P[12][16]; - nextP[12][17] = P[12][17]; - nextP[12][18] = P[12][18]; - nextP[12][19] = P[12][19]; - nextP[12][20] = P[12][20]; - nextP[13][0] = P[13][0] + P[13][1]*SF[6] + P[13][2]*SPP[7] + P[13][3]*SPP[6] + P[13][10]*SPP[5] + P[13][11]*SPP[4] + P[13][12]*SPP[3]; - nextP[13][1] = P[13][1] + P[13][0]*SF[5] + P[13][2]*SF[4] + P[13][3]*SPP[7] + P[13][11]*SPP[3] - P[13][12]*SPP[4] - (P[13][10]*q0)/2; - nextP[13][2] = P[13][2] + P[13][0]*SF[3] + P[13][3]*SF[5] + P[13][1]*SPP[6] - P[13][10]*SPP[3] + P[13][12]*SPP[5] - (P[13][11]*q0)/2; - nextP[13][3] = P[13][3] + P[13][0]*SF[4] + P[13][1]*SF[3] + P[13][2]*SF[6] + P[13][10]*SPP[4] - P[13][11]*SPP[5] - (P[13][12]*q0)/2; - nextP[13][4] = P[13][4] + P[13][1]*SF[0] + P[13][0]*SF[2] + P[13][2]*SPP[0] - P[13][3]*SPP[2]; - nextP[13][5] = P[13][5] + P[13][0]*SF[1] + P[13][2]*SF[0] + P[13][3]*SF[2] - P[13][1]*SPP[0]; - nextP[13][6] = P[13][6] + P[13][1]*SF[1] + P[13][3]*SF[0] + P[13][0]*SPP[0] - P[13][2]*SPP[1]; - nextP[13][7] = P[13][7] + P[13][4]*dt; - nextP[13][8] = P[13][8] + P[13][5]*dt; - nextP[13][9] = P[13][9] + P[13][6]*dt; - nextP[13][10] = P[13][10]; - nextP[13][11] = P[13][11]; - nextP[13][12] = P[13][12]; - nextP[13][13] = P[13][13]; - nextP[13][14] = P[13][14]; - nextP[13][15] = P[13][15]; - nextP[13][16] = P[13][16]; - nextP[13][17] = P[13][17]; - nextP[13][18] = P[13][18]; - nextP[13][19] = P[13][19]; - nextP[13][20] = P[13][20]; - nextP[14][0] = P[14][0] + P[14][1]*SF[6] + P[14][2]*SPP[7] + P[14][3]*SPP[6] + P[14][10]*SPP[5] + P[14][11]*SPP[4] + P[14][12]*SPP[3]; - nextP[14][1] = P[14][1] + P[14][0]*SF[5] + P[14][2]*SF[4] + P[14][3]*SPP[7] + P[14][11]*SPP[3] - P[14][12]*SPP[4] - (P[14][10]*q0)/2; - nextP[14][2] = P[14][2] + P[14][0]*SF[3] + P[14][3]*SF[5] + P[14][1]*SPP[6] - P[14][10]*SPP[3] + P[14][12]*SPP[5] - (P[14][11]*q0)/2; - nextP[14][3] = P[14][3] + P[14][0]*SF[4] + P[14][1]*SF[3] + P[14][2]*SF[6] + P[14][10]*SPP[4] - P[14][11]*SPP[5] - (P[14][12]*q0)/2; - nextP[14][4] = P[14][4] + P[14][1]*SF[0] + P[14][0]*SF[2] + P[14][2]*SPP[0] - P[14][3]*SPP[2]; - nextP[14][5] = P[14][5] + P[14][0]*SF[1] + P[14][2]*SF[0] + P[14][3]*SF[2] - P[14][1]*SPP[0]; - nextP[14][6] = P[14][6] + P[14][1]*SF[1] + P[14][3]*SF[0] + P[14][0]*SPP[0] - P[14][2]*SPP[1]; - nextP[14][7] = P[14][7] + P[14][4]*dt; - nextP[14][8] = P[14][8] + P[14][5]*dt; - nextP[14][9] = P[14][9] + P[14][6]*dt; - nextP[14][10] = P[14][10]; - nextP[14][11] = P[14][11]; - nextP[14][12] = P[14][12]; - nextP[14][13] = P[14][13]; - nextP[14][14] = P[14][14]; - nextP[14][15] = P[14][15]; - nextP[14][16] = P[14][16]; - nextP[14][17] = P[14][17]; - nextP[14][18] = P[14][18]; - nextP[14][19] = P[14][19]; - nextP[14][20] = P[14][20]; - nextP[15][0] = P[15][0] + P[15][1]*SF[6] + P[15][2]*SPP[7] + P[15][3]*SPP[6] + P[15][10]*SPP[5] + P[15][11]*SPP[4] + P[15][12]*SPP[3]; - nextP[15][1] = P[15][1] + P[15][0]*SF[5] + P[15][2]*SF[4] + P[15][3]*SPP[7] + P[15][11]*SPP[3] - P[15][12]*SPP[4] - (P[15][10]*q0)/2; - nextP[15][2] = P[15][2] + P[15][0]*SF[3] + P[15][3]*SF[5] + P[15][1]*SPP[6] - P[15][10]*SPP[3] + P[15][12]*SPP[5] - (P[15][11]*q0)/2; - nextP[15][3] = P[15][3] + P[15][0]*SF[4] + P[15][1]*SF[3] + P[15][2]*SF[6] + P[15][10]*SPP[4] - P[15][11]*SPP[5] - (P[15][12]*q0)/2; - nextP[15][4] = P[15][4] + P[15][1]*SF[0] + P[15][0]*SF[2] + P[15][2]*SPP[0] - P[15][3]*SPP[2]; - nextP[15][5] = P[15][5] + P[15][0]*SF[1] + P[15][2]*SF[0] + P[15][3]*SF[2] - P[15][1]*SPP[0]; - nextP[15][6] = P[15][6] + P[15][1]*SF[1] + P[15][3]*SF[0] + P[15][0]*SPP[0] - P[15][2]*SPP[1]; - nextP[15][7] = P[15][7] + P[15][4]*dt; - nextP[15][8] = P[15][8] + P[15][5]*dt; - nextP[15][9] = P[15][9] + P[15][6]*dt; - nextP[15][10] = P[15][10]; - nextP[15][11] = P[15][11]; - nextP[15][12] = P[15][12]; - nextP[15][13] = P[15][13]; - nextP[15][14] = P[15][14]; - nextP[15][15] = P[15][15]; - nextP[15][16] = P[15][16]; - nextP[15][17] = P[15][17]; - nextP[15][18] = P[15][18]; - nextP[15][19] = P[15][19]; - nextP[15][20] = P[15][20]; - nextP[16][0] = P[16][0] + P[16][1]*SF[6] + P[16][2]*SPP[7] + P[16][3]*SPP[6] + P[16][10]*SPP[5] + P[16][11]*SPP[4] + P[16][12]*SPP[3]; - nextP[16][1] = P[16][1] + P[16][0]*SF[5] + P[16][2]*SF[4] + P[16][3]*SPP[7] + P[16][11]*SPP[3] - P[16][12]*SPP[4] - (P[16][10]*q0)/2; - nextP[16][2] = P[16][2] + P[16][0]*SF[3] + P[16][3]*SF[5] + P[16][1]*SPP[6] - P[16][10]*SPP[3] + P[16][12]*SPP[5] - (P[16][11]*q0)/2; - nextP[16][3] = P[16][3] + P[16][0]*SF[4] + P[16][1]*SF[3] + P[16][2]*SF[6] + P[16][10]*SPP[4] - P[16][11]*SPP[5] - (P[16][12]*q0)/2; - nextP[16][4] = P[16][4] + P[16][1]*SF[0] + P[16][0]*SF[2] + P[16][2]*SPP[0] - P[16][3]*SPP[2]; - nextP[16][5] = P[16][5] + P[16][0]*SF[1] + P[16][2]*SF[0] + P[16][3]*SF[2] - P[16][1]*SPP[0]; - nextP[16][6] = P[16][6] + P[16][1]*SF[1] + P[16][3]*SF[0] + P[16][0]*SPP[0] - P[16][2]*SPP[1]; - nextP[16][7] = P[16][7] + P[16][4]*dt; - nextP[16][8] = P[16][8] + P[16][5]*dt; - nextP[16][9] = P[16][9] + P[16][6]*dt; - nextP[16][10] = P[16][10]; - nextP[16][11] = P[16][11]; - nextP[16][12] = P[16][12]; - nextP[16][13] = P[16][13]; - nextP[16][14] = P[16][14]; - nextP[16][15] = P[16][15]; - nextP[16][16] = P[16][16]; - nextP[16][17] = P[16][17]; - nextP[16][18] = P[16][18]; - nextP[16][19] = P[16][19]; - nextP[16][20] = P[16][20]; - nextP[17][0] = P[17][0] + P[17][1]*SF[6] + P[17][2]*SPP[7] + P[17][3]*SPP[6] + P[17][10]*SPP[5] + P[17][11]*SPP[4] + P[17][12]*SPP[3]; - nextP[17][1] = P[17][1] + P[17][0]*SF[5] + P[17][2]*SF[4] + P[17][3]*SPP[7] + P[17][11]*SPP[3] - P[17][12]*SPP[4] - (P[17][10]*q0)/2; - nextP[17][2] = P[17][2] + P[17][0]*SF[3] + P[17][3]*SF[5] + P[17][1]*SPP[6] - P[17][10]*SPP[3] + P[17][12]*SPP[5] - (P[17][11]*q0)/2; - nextP[17][3] = P[17][3] + P[17][0]*SF[4] + P[17][1]*SF[3] + P[17][2]*SF[6] + P[17][10]*SPP[4] - P[17][11]*SPP[5] - (P[17][12]*q0)/2; - nextP[17][4] = P[17][4] + P[17][1]*SF[0] + P[17][0]*SF[2] + P[17][2]*SPP[0] - P[17][3]*SPP[2]; - nextP[17][5] = P[17][5] + P[17][0]*SF[1] + P[17][2]*SF[0] + P[17][3]*SF[2] - P[17][1]*SPP[0]; - nextP[17][6] = P[17][6] + P[17][1]*SF[1] + P[17][3]*SF[0] + P[17][0]*SPP[0] - P[17][2]*SPP[1]; - nextP[17][7] = P[17][7] + P[17][4]*dt; - nextP[17][8] = P[17][8] + P[17][5]*dt; - nextP[17][9] = P[17][9] + P[17][6]*dt; - nextP[17][10] = P[17][10]; - nextP[17][11] = P[17][11]; - nextP[17][12] = P[17][12]; - nextP[17][13] = P[17][13]; - nextP[17][14] = P[17][14]; - nextP[17][15] = P[17][15]; - nextP[17][16] = P[17][16]; - nextP[17][17] = P[17][17]; - nextP[17][18] = P[17][18]; - nextP[17][19] = P[17][19]; - nextP[17][20] = P[17][20]; - nextP[18][0] = P[18][0] + P[18][1]*SF[6] + P[18][2]*SPP[7] + P[18][3]*SPP[6] + P[18][10]*SPP[5] + P[18][11]*SPP[4] + P[18][12]*SPP[3]; - nextP[18][1] = P[18][1] + P[18][0]*SF[5] + P[18][2]*SF[4] + P[18][3]*SPP[7] + P[18][11]*SPP[3] - P[18][12]*SPP[4] - (P[18][10]*q0)/2; - nextP[18][2] = P[18][2] + P[18][0]*SF[3] + P[18][3]*SF[5] + P[18][1]*SPP[6] - P[18][10]*SPP[3] + P[18][12]*SPP[5] - (P[18][11]*q0)/2; - nextP[18][3] = P[18][3] + P[18][0]*SF[4] + P[18][1]*SF[3] + P[18][2]*SF[6] + P[18][10]*SPP[4] - P[18][11]*SPP[5] - (P[18][12]*q0)/2; - nextP[18][4] = P[18][4] + P[18][1]*SF[0] + P[18][0]*SF[2] + P[18][2]*SPP[0] - P[18][3]*SPP[2]; - nextP[18][5] = P[18][5] + P[18][0]*SF[1] + P[18][2]*SF[0] + P[18][3]*SF[2] - P[18][1]*SPP[0]; - nextP[18][6] = P[18][6] + P[18][1]*SF[1] + P[18][3]*SF[0] + P[18][0]*SPP[0] - P[18][2]*SPP[1]; - nextP[18][7] = P[18][7] + P[18][4]*dt; - nextP[18][8] = P[18][8] + P[18][5]*dt; - nextP[18][9] = P[18][9] + P[18][6]*dt; - nextP[18][10] = P[18][10]; - nextP[18][11] = P[18][11]; - nextP[18][12] = P[18][12]; - nextP[18][13] = P[18][13]; - nextP[18][14] = P[18][14]; - nextP[18][15] = P[18][15]; - nextP[18][16] = P[18][16]; - nextP[18][17] = P[18][17]; - nextP[18][18] = P[18][18]; - nextP[18][19] = P[18][19]; - nextP[18][20] = P[18][20]; - nextP[19][0] = P[19][0] + P[19][1]*SF[6] + P[19][2]*SPP[7] + P[19][3]*SPP[6] + P[19][10]*SPP[5] + P[19][11]*SPP[4] + P[19][12]*SPP[3]; - nextP[19][1] = P[19][1] + P[19][0]*SF[5] + P[19][2]*SF[4] + P[19][3]*SPP[7] + P[19][11]*SPP[3] - P[19][12]*SPP[4] - (P[19][10]*q0)/2; - nextP[19][2] = P[19][2] + P[19][0]*SF[3] + P[19][3]*SF[5] + P[19][1]*SPP[6] - P[19][10]*SPP[3] + P[19][12]*SPP[5] - (P[19][11]*q0)/2; - nextP[19][3] = P[19][3] + P[19][0]*SF[4] + P[19][1]*SF[3] + P[19][2]*SF[6] + P[19][10]*SPP[4] - P[19][11]*SPP[5] - (P[19][12]*q0)/2; - nextP[19][4] = P[19][4] + P[19][1]*SF[0] + P[19][0]*SF[2] + P[19][2]*SPP[0] - P[19][3]*SPP[2]; - nextP[19][5] = P[19][5] + P[19][0]*SF[1] + P[19][2]*SF[0] + P[19][3]*SF[2] - P[19][1]*SPP[0]; - nextP[19][6] = P[19][6] + P[19][1]*SF[1] + P[19][3]*SF[0] + P[19][0]*SPP[0] - P[19][2]*SPP[1]; - nextP[19][7] = P[19][7] + P[19][4]*dt; - nextP[19][8] = P[19][8] + P[19][5]*dt; - nextP[19][9] = P[19][9] + P[19][6]*dt; - nextP[19][10] = P[19][10]; - nextP[19][11] = P[19][11]; - nextP[19][12] = P[19][12]; - nextP[19][13] = P[19][13]; - nextP[19][14] = P[19][14]; - nextP[19][15] = P[19][15]; - nextP[19][16] = P[19][16]; - nextP[19][17] = P[19][17]; - nextP[19][18] = P[19][18]; - nextP[19][19] = P[19][19]; - nextP[19][20] = P[19][20]; - nextP[20][0] = P[20][0] + P[20][1]*SF[6] + P[20][2]*SPP[7] + P[20][3]*SPP[6] + P[20][10]*SPP[5] + P[20][11]*SPP[4] + P[20][12]*SPP[3]; - nextP[20][1] = P[20][1] + P[20][0]*SF[5] + P[20][2]*SF[4] + P[20][3]*SPP[7] + P[20][11]*SPP[3] - P[20][12]*SPP[4] - (P[20][10]*q0)/2; - nextP[20][2] = P[20][2] + P[20][0]*SF[3] + P[20][3]*SF[5] + P[20][1]*SPP[6] - P[20][10]*SPP[3] + P[20][12]*SPP[5] - (P[20][11]*q0)/2; - nextP[20][3] = P[20][3] + P[20][0]*SF[4] + P[20][1]*SF[3] + P[20][2]*SF[6] + P[20][10]*SPP[4] - P[20][11]*SPP[5] - (P[20][12]*q0)/2; - nextP[20][4] = P[20][4] + P[20][1]*SF[0] + P[20][0]*SF[2] + P[20][2]*SPP[0] - P[20][3]*SPP[2]; - nextP[20][5] = P[20][5] + P[20][0]*SF[1] + P[20][2]*SF[0] + P[20][3]*SF[2] - P[20][1]*SPP[0]; - nextP[20][6] = P[20][6] + P[20][1]*SF[1] + P[20][3]*SF[0] + P[20][0]*SPP[0] - P[20][2]*SPP[1]; - nextP[20][7] = P[20][7] + P[20][4]*dt; - nextP[20][8] = P[20][8] + P[20][5]*dt; - nextP[20][9] = P[20][9] + P[20][6]*dt; - nextP[20][10] = P[20][10]; - nextP[20][11] = P[20][11]; - nextP[20][12] = P[20][12]; - nextP[20][13] = P[20][13]; - nextP[20][14] = P[20][14]; - nextP[20][15] = P[20][15]; - nextP[20][16] = P[20][16]; - nextP[20][17] = P[20][17]; - nextP[20][18] = P[20][18]; - nextP[20][19] = P[20][19]; - nextP[20][20] = P[20][20]; - - for (unsigned i = 0; i < n_states; i++) - { - nextP[i][i] = nextP[i][i] + processNoise[i]; - } - - // If on ground or no magnetometer fitted, inhibit magnetometer bias updates by - // setting the coresponding covariance terms to zero. - if (onGround || !useCompass) - { - zeroRows(nextP,15,20); - zeroCols(nextP,15,20); - } - - // If on ground or not using airspeed sensing, inhibit wind velocity - // covariance growth. - if (onGround || !useAirspeed) - { - zeroRows(nextP,13,14); - zeroCols(nextP,13,14); - } - - // If the total position variance exceds 1E6 (1000m), then stop covariance - // growth by setting the predicted to the previous values - // This prevent an ill conditioned matrix from occurring for long periods - // without GPS - if ((P[7][7] + P[8][8]) > 1E6f) - { - for (uint8_t i=7; i<=8; i++) - { - for (unsigned j = 0; j < n_states; j++) - { - nextP[i][j] = P[i][j]; - nextP[j][i] = P[j][i]; - } - } - } - - if (onGround || staticMode) { - // copy the portion of the variances we want to - // propagate - for (unsigned i = 0; i < 14; i++) { - P[i][i] = nextP[i][i]; - - // force symmetry for observable states - // force zero for non-observable states - for (unsigned i = 1; i < n_states; i++) - { - for (uint8_t j = 0; j < i; j++) - { - if ((i > 12) || (j > 12)) { - P[i][j] = 0.0f; - } else { - P[i][j] = 0.5f * (nextP[i][j] + nextP[j][i]); - } - P[j][i] = P[i][j]; - } - } - } - - } else { - - // Copy covariance - for (unsigned i = 0; i < n_states; i++) { - P[i][i] = nextP[i][i]; - } - - // force symmetry for observable states - for (unsigned i = 1; i < n_states; i++) - { - for (uint8_t j = 0; j < i; j++) - { - P[i][j] = 0.5f * (nextP[i][j] + nextP[j][i]); - P[j][i] = P[i][j]; - } - } - - } - - ConstrainVariances(); -} - -void AttPosEKF::FuseVelposNED() -{ - -// declare variables used by fault isolation logic - uint32_t gpsRetryTime = 30000; // time in msec before GPS fusion will be retried following innovation consistency failure - uint32_t gpsRetryTimeNoTAS = 5000; // retry time if no TAS measurement available - uint32_t hgtRetryTime = 5000; // height measurement retry time - uint32_t horizRetryTime; - -// declare variables used to check measurement errors - float velInnov[3] = {0.0f,0.0f,0.0f}; - float posInnov[2] = {0.0f,0.0f}; - float hgtInnov = 0.0f; - -// declare variables used to control access to arrays - bool fuseData[6] = {false,false,false,false,false,false}; - uint8_t stateIndex; - uint8_t obsIndex; - uint8_t indexLimit; - -// declare variables used by state and covariance update calculations - float velErr; - float posErr; - float R_OBS[6]; - float observation[6]; - float SK; - float quatMag; - -// Perform sequential fusion of GPS measurements. This assumes that the -// errors in the different velocity and position components are -// uncorrelated which is not true, however in the absence of covariance -// data from the GPS receiver it is the only assumption we can make -// so we might as well take advantage of the computational efficiencies -// associated with sequential fusion - if (fuseVelData || fusePosData || fuseHgtData) - { - // set the GPS data timeout depending on whether airspeed data is present - if (useAirspeed) horizRetryTime = gpsRetryTime; - else horizRetryTime = gpsRetryTimeNoTAS; - - // Form the observation vector - for (uint8_t i=0; i<=2; i++) observation[i] = velNED[i]; - for (uint8_t i=3; i<=4; i++) observation[i] = posNE[i-3]; - observation[5] = -(hgtMea); - - // Estimate the GPS Velocity, GPS horiz position and height measurement variances. - velErr = 0.2f*accNavMag; // additional error in GPS velocities caused by manoeuvring - posErr = 0.2f*accNavMag; // additional error in GPS position caused by manoeuvring - R_OBS[0] = 0.04f + sq(velErr); - R_OBS[1] = R_OBS[0]; - R_OBS[2] = 0.08f + sq(velErr); - R_OBS[3] = R_OBS[2]; - R_OBS[4] = 4.0f + sq(posErr); - R_OBS[5] = 4.0f; - - // Set innovation variances to zero default - for (uint8_t i = 0; i<=5; i++) - { - varInnovVelPos[i] = 0.0f; - } - // calculate innovations and check GPS data validity using an innovation consistency check - if (fuseVelData) - { - // test velocity measurements - uint8_t imax = 2; - if (fusionModeGPS == 1) imax = 1; - for (uint8_t i = 0; i<=imax; i++) - { - velInnov[i] = statesAtVelTime[i+4] - velNED[i]; - stateIndex = 4 + i; - varInnovVelPos[i] = P[stateIndex][stateIndex] + R_OBS[i]; - } - // apply a 5-sigma threshold - current_ekf_state.velHealth = (sq(velInnov[0]) + sq(velInnov[1]) + sq(velInnov[2])) < 25.0f * (varInnovVelPos[0] + varInnovVelPos[1] + varInnovVelPos[2]); - current_ekf_state.velTimeout = (millis() - current_ekf_state.velFailTime) > horizRetryTime; - if (current_ekf_state.velHealth || current_ekf_state.velTimeout) - { - current_ekf_state.velHealth = true; - current_ekf_state.velFailTime = millis(); - } - else - { - current_ekf_state.velHealth = false; - } - } - if (fusePosData) - { - // test horizontal position measurements - posInnov[0] = statesAtPosTime[7] - posNE[0]; - posInnov[1] = statesAtPosTime[8] - posNE[1]; - varInnovVelPos[3] = P[7][7] + R_OBS[3]; - varInnovVelPos[4] = P[8][8] + R_OBS[4]; - // apply a 10-sigma threshold - current_ekf_state.posHealth = (sq(posInnov[0]) + sq(posInnov[1])) < 100.0f*(varInnovVelPos[3] + varInnovVelPos[4]); - current_ekf_state.posTimeout = (millis() - current_ekf_state.posFailTime) > horizRetryTime; - if (current_ekf_state.posHealth || current_ekf_state.posTimeout) - { - current_ekf_state.posHealth = true; - current_ekf_state.posFailTime = millis(); - } - else - { - current_ekf_state.posHealth = false; - } - } - // test height measurements - if (fuseHgtData) - { - hgtInnov = statesAtHgtTime[9] + hgtMea; - varInnovVelPos[5] = P[9][9] + R_OBS[5]; - // apply a 10-sigma threshold - current_ekf_state.hgtHealth = sq(hgtInnov) < 100.0f*varInnovVelPos[5]; - current_ekf_state.hgtTimeout = (millis() - current_ekf_state.hgtFailTime) > hgtRetryTime; - if (current_ekf_state.hgtHealth || current_ekf_state.hgtTimeout) - { - current_ekf_state.hgtHealth = true; - current_ekf_state.hgtFailTime = millis(); - } - else - { - current_ekf_state.hgtHealth = false; - } - } - // Set range for sequential fusion of velocity and position measurements depending - // on which data is available and its health - if (fuseVelData && fusionModeGPS == 0 && current_ekf_state.velHealth) - { - fuseData[0] = true; - fuseData[1] = true; - fuseData[2] = true; - } - if (fuseVelData && fusionModeGPS == 1 && current_ekf_state.velHealth) - { - fuseData[0] = true; - fuseData[1] = true; - } - if (fusePosData && fusionModeGPS <= 2 && current_ekf_state.posHealth) - { - fuseData[3] = true; - fuseData[4] = true; - } - if (fuseHgtData && current_ekf_state.hgtHealth) - { - fuseData[5] = true; - } - // Limit range of states modified when on ground - if(!onGround) - { - indexLimit = 20; - } - else - { - indexLimit = 12; - } - // Fuse measurements sequentially - for (obsIndex=0; obsIndex<=5; obsIndex++) - { - if (fuseData[obsIndex]) - { - stateIndex = 4 + obsIndex; - // Calculate the measurement innovation, using states from a - // different time coordinate if fusing height data - if (obsIndex >= 0 && obsIndex <= 2) - { - innovVelPos[obsIndex] = statesAtVelTime[stateIndex] - observation[obsIndex]; - } - else if (obsIndex == 3 || obsIndex == 4) - { - innovVelPos[obsIndex] = statesAtPosTime[stateIndex] - observation[obsIndex]; - } - else if (obsIndex == 5) - { - innovVelPos[obsIndex] = statesAtHgtTime[stateIndex] - observation[obsIndex]; - } - // Calculate the Kalman Gain - // Calculate innovation variances - also used for data logging - varInnovVelPos[obsIndex] = P[stateIndex][stateIndex] + R_OBS[obsIndex]; - SK = 1.0/varInnovVelPos[obsIndex]; - for (uint8_t i= 0; i<=indexLimit; i++) - { - Kfusion[i] = P[i][stateIndex]*SK; - } - // Calculate state corrections and re-normalise the quaternions - for (uint8_t i = 0; i<=indexLimit; i++) - { - states[i] = states[i] - Kfusion[i] * innovVelPos[obsIndex]; - } - quatMag = sqrt(states[0]*states[0] + states[1]*states[1] + states[2]*states[2] + states[3]*states[3]); - if (quatMag > 1e-12f) // divide by 0 protection - { - for (uint8_t i = 0; i<=3; i++) - { - states[i] = states[i] / quatMag; - } - } - // Update the covariance - take advantage of direct observation of a - // single state at index = stateIndex to reduce computations - // Optimised implementation of standard equation P = (I - K*H)*P; - for (uint8_t i= 0; i<=indexLimit; i++) - { - for (uint8_t j= 0; j<=indexLimit; j++) - { - KHP[i][j] = Kfusion[i] * P[stateIndex][j]; - } - } - for (uint8_t i= 0; i<=indexLimit; i++) - { - for (uint8_t j= 0; j<=indexLimit; j++) - { - P[i][j] = P[i][j] - KHP[i][j]; - } - } - } - } - } - - ForceSymmetry(); - ConstrainVariances(); - - //printf("velh: %s, posh: %s, hgth: %s\n", ((velHealth) ? "OK" : "FAIL"), ((posHealth) ? "OK" : "FAIL"), ((hgtHealth) ? "OK" : "FAIL")); -} - -void AttPosEKF::FuseMagnetometer() -{ - uint8_t obsIndex; - uint8_t indexLimit; - float DCM[3][3] = - { - {1.0f,0.0f,0.0f} , - {0.0f,1.0f,0.0f} , - {0.0f,0.0f,1.0f} - }; - float MagPred[3] = {0.0f,0.0f,0.0f}; - float SK_MX[6]; - float SK_MY[5]; - float SK_MZ[6]; - float SH_MAG[9] = {0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f}; - -// Perform sequential fusion of Magnetometer measurements. -// This assumes that the errors in the different components are -// uncorrelated which is not true, however in the absence of covariance -// data fit is the only assumption we can make -// so we might as well take advantage of the computational efficiencies -// associated with sequential fusion - if (useCompass && (fuseMagData || obsIndex == 1 || obsIndex == 2)) - { - // Limit range of states modified when on ground - if(!onGround) - { - indexLimit = 20; - } - else - { - indexLimit = 12; - } - - static float q0 = 0.0f; - static float q1 = 0.0f; - static float q2 = 0.0f; - static float q3 = 1.0f; - static float magN = 0.4f; - static float magE = 0.0f; - static float magD = 0.3f; - - static float R_MAG = 0.0025f; - - float H_MAG[21] = {0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f,0.0f}; - - // Sequential fusion of XYZ components to spread processing load across - // three prediction time steps. - - // Calculate observation jacobians and Kalman gains - if (fuseMagData) - { - static float magXbias = 0.0f; - static float magYbias = 0.0f; - static float magZbias = 0.0f; - - // Copy required states to local variable names - q0 = statesAtMagMeasTime[0]; - q1 = statesAtMagMeasTime[1]; - q2 = statesAtMagMeasTime[2]; - q3 = statesAtMagMeasTime[3]; - magN = statesAtMagMeasTime[15]; - magE = statesAtMagMeasTime[16]; - magD = statesAtMagMeasTime[17]; - magXbias = statesAtMagMeasTime[18]; - magYbias = statesAtMagMeasTime[19]; - magZbias = statesAtMagMeasTime[20]; - - // rotate predicted earth components into body axes and calculate - // predicted measurments - DCM[0][0] = q0*q0 + q1*q1 - q2*q2 - q3*q3; - DCM[0][1] = 2*(q1*q2 + q0*q3); - DCM[0][2] = 2*(q1*q3-q0*q2); - DCM[1][0] = 2*(q1*q2 - q0*q3); - DCM[1][1] = q0*q0 - q1*q1 + q2*q2 - q3*q3; - DCM[1][2] = 2*(q2*q3 + q0*q1); - DCM[2][0] = 2*(q1*q3 + q0*q2); - DCM[2][1] = 2*(q2*q3 - q0*q1); - DCM[2][2] = q0*q0 - q1*q1 - q2*q2 + q3*q3; - MagPred[0] = DCM[0][0]*magN + DCM[0][1]*magE + DCM[0][2]*magD + magXbias; - MagPred[1] = DCM[1][0]*magN + DCM[1][1]*magE + DCM[1][2]*magD + magYbias; - MagPred[2] = DCM[2][0]*magN + DCM[2][1]*magE + DCM[2][2]*magD + magZbias; - - // scale magnetometer observation error with total angular rate - R_MAG = 0.0025f + sq(0.05f*dAngIMU.length()/dtIMU); - - // Calculate observation jacobians - SH_MAG[0] = 2*magD*q3 + 2*magE*q2 + 2*magN*q1; - SH_MAG[1] = 2*magD*q0 - 2*magE*q1 + 2*magN*q2; - SH_MAG[2] = 2*magD*q1 + 2*magE*q0 - 2*magN*q3; - SH_MAG[3] = sq(q3); - SH_MAG[4] = sq(q2); - SH_MAG[5] = sq(q1); - SH_MAG[6] = sq(q0); - SH_MAG[7] = 2*magN*q0; - SH_MAG[8] = 2*magE*q3; - - for (uint8_t i=0; i<=20; i++) H_MAG[i] = 0; - H_MAG[0] = SH_MAG[7] + SH_MAG[8] - 2*magD*q2; - H_MAG[1] = SH_MAG[0]; - H_MAG[2] = 2*magE*q1 - 2*magD*q0 - 2*magN*q2; - H_MAG[3] = SH_MAG[2]; - H_MAG[15] = SH_MAG[5] - SH_MAG[4] - SH_MAG[3] + SH_MAG[6]; - H_MAG[16] = 2*q0*q3 + 2*q1*q2; - H_MAG[17] = 2*q1*q3 - 2*q0*q2; - H_MAG[18] = 1.0f; - - // Calculate Kalman gain - SK_MX[0] = 1/(P[18][18] + R_MAG + P[1][18]*SH_MAG[0] + P[3][18]*SH_MAG[2] - P[15][18]*(SH_MAG[3] + SH_MAG[4] - SH_MAG[5] - SH_MAG[6]) - (2*magD*q0 - 2*magE*q1 + 2*magN*q2)*(P[18][2] + P[1][2]*SH_MAG[0] + P[3][2]*SH_MAG[2] - P[15][2]*(SH_MAG[3] + SH_MAG[4] - SH_MAG[5] - SH_MAG[6]) + P[16][2]*(2*q0*q3 + 2*q1*q2) - P[17][2]*(2*q0*q2 - 2*q1*q3) - P[2][2]*(2*magD*q0 - 2*magE*q1 + 2*magN*q2) + P[0][2]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) + (SH_MAG[7] + SH_MAG[8] - 2*magD*q2)*(P[18][0] + P[1][0]*SH_MAG[0] + P[3][0]*SH_MAG[2] - P[15][0]*(SH_MAG[3] + SH_MAG[4] - SH_MAG[5] - SH_MAG[6]) + P[16][0]*(2*q0*q3 + 2*q1*q2) - P[17][0]*(2*q0*q2 - 2*q1*q3) - P[2][0]*(2*magD*q0 - 2*magE*q1 + 2*magN*q2) + P[0][0]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) + SH_MAG[0]*(P[18][1] + P[1][1]*SH_MAG[0] + P[3][1]*SH_MAG[2] - P[15][1]*(SH_MAG[3] + SH_MAG[4] - SH_MAG[5] - SH_MAG[6]) + P[16][1]*(2*q0*q3 + 2*q1*q2) - P[17][1]*(2*q0*q2 - 2*q1*q3) - P[2][1]*(2*magD*q0 - 2*magE*q1 + 2*magN*q2) + P[0][1]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) + SH_MAG[2]*(P[18][3] + P[1][3]*SH_MAG[0] + P[3][3]*SH_MAG[2] - P[15][3]*(SH_MAG[3] + SH_MAG[4] - SH_MAG[5] - SH_MAG[6]) + P[16][3]*(2*q0*q3 + 2*q1*q2) - P[17][3]*(2*q0*q2 - 2*q1*q3) - P[2][3]*(2*magD*q0 - 2*magE*q1 + 2*magN*q2) + P[0][3]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) - (SH_MAG[3] + SH_MAG[4] - SH_MAG[5] - SH_MAG[6])*(P[18][15] + P[1][15]*SH_MAG[0] + P[3][15]*SH_MAG[2] - P[15][15]*(SH_MAG[3] + SH_MAG[4] - SH_MAG[5] - SH_MAG[6]) + P[16][15]*(2*q0*q3 + 2*q1*q2) - P[17][15]*(2*q0*q2 - 2*q1*q3) - P[2][15]*(2*magD*q0 - 2*magE*q1 + 2*magN*q2) + P[0][15]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) + P[16][18]*(2*q0*q3 + 2*q1*q2) - P[17][18]*(2*q0*q2 - 2*q1*q3) - P[2][18]*(2*magD*q0 - 2*magE*q1 + 2*magN*q2) + (2*q0*q3 + 2*q1*q2)*(P[18][16] + P[1][16]*SH_MAG[0] + P[3][16]*SH_MAG[2] - P[15][16]*(SH_MAG[3] + SH_MAG[4] - SH_MAG[5] - SH_MAG[6]) + P[16][16]*(2*q0*q3 + 2*q1*q2) - P[17][16]*(2*q0*q2 - 2*q1*q3) - P[2][16]*(2*magD*q0 - 2*magE*q1 + 2*magN*q2) + P[0][16]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) - (2*q0*q2 - 2*q1*q3)*(P[18][17] + P[1][17]*SH_MAG[0] + P[3][17]*SH_MAG[2] - P[15][17]*(SH_MAG[3] + SH_MAG[4] - SH_MAG[5] - SH_MAG[6]) + P[16][17]*(2*q0*q3 + 2*q1*q2) - P[17][17]*(2*q0*q2 - 2*q1*q3) - P[2][17]*(2*magD*q0 - 2*magE*q1 + 2*magN*q2) + P[0][17]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) + P[0][18]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)); - SK_MX[1] = SH_MAG[3] + SH_MAG[4] - SH_MAG[5] - SH_MAG[6]; - SK_MX[2] = 2*magD*q0 - 2*magE*q1 + 2*magN*q2; - SK_MX[3] = SH_MAG[7] + SH_MAG[8] - 2*magD*q2; - SK_MX[4] = 2*q0*q2 - 2*q1*q3; - SK_MX[5] = 2*q0*q3 + 2*q1*q2; - Kfusion[0] = SK_MX[0]*(P[0][18] + P[0][1]*SH_MAG[0] + P[0][3]*SH_MAG[2] + P[0][0]*SK_MX[3] - P[0][2]*SK_MX[2] - P[0][15]*SK_MX[1] + P[0][16]*SK_MX[5] - P[0][17]*SK_MX[4]); - Kfusion[1] = SK_MX[0]*(P[1][18] + P[1][1]*SH_MAG[0] + P[1][3]*SH_MAG[2] + P[1][0]*SK_MX[3] - P[1][2]*SK_MX[2] - P[1][15]*SK_MX[1] + P[1][16]*SK_MX[5] - P[1][17]*SK_MX[4]); - Kfusion[2] = SK_MX[0]*(P[2][18] + P[2][1]*SH_MAG[0] + P[2][3]*SH_MAG[2] + P[2][0]*SK_MX[3] - P[2][2]*SK_MX[2] - P[2][15]*SK_MX[1] + P[2][16]*SK_MX[5] - P[2][17]*SK_MX[4]); - Kfusion[3] = SK_MX[0]*(P[3][18] + P[3][1]*SH_MAG[0] + P[3][3]*SH_MAG[2] + P[3][0]*SK_MX[3] - P[3][2]*SK_MX[2] - P[3][15]*SK_MX[1] + P[3][16]*SK_MX[5] - P[3][17]*SK_MX[4]); - Kfusion[4] = SK_MX[0]*(P[4][18] + P[4][1]*SH_MAG[0] + P[4][3]*SH_MAG[2] + P[4][0]*SK_MX[3] - P[4][2]*SK_MX[2] - P[4][15]*SK_MX[1] + P[4][16]*SK_MX[5] - P[4][17]*SK_MX[4]); - Kfusion[5] = SK_MX[0]*(P[5][18] + P[5][1]*SH_MAG[0] + P[5][3]*SH_MAG[2] + P[5][0]*SK_MX[3] - P[5][2]*SK_MX[2] - P[5][15]*SK_MX[1] + P[5][16]*SK_MX[5] - P[5][17]*SK_MX[4]); - Kfusion[6] = SK_MX[0]*(P[6][18] + P[6][1]*SH_MAG[0] + P[6][3]*SH_MAG[2] + P[6][0]*SK_MX[3] - P[6][2]*SK_MX[2] - P[6][15]*SK_MX[1] + P[6][16]*SK_MX[5] - P[6][17]*SK_MX[4]); - Kfusion[7] = SK_MX[0]*(P[7][18] + P[7][1]*SH_MAG[0] + P[7][3]*SH_MAG[2] + P[7][0]*SK_MX[3] - P[7][2]*SK_MX[2] - P[7][15]*SK_MX[1] + P[7][16]*SK_MX[5] - P[7][17]*SK_MX[4]); - Kfusion[8] = SK_MX[0]*(P[8][18] + P[8][1]*SH_MAG[0] + P[8][3]*SH_MAG[2] + P[8][0]*SK_MX[3] - P[8][2]*SK_MX[2] - P[8][15]*SK_MX[1] + P[8][16]*SK_MX[5] - P[8][17]*SK_MX[4]); - Kfusion[9] = SK_MX[0]*(P[9][18] + P[9][1]*SH_MAG[0] + P[9][3]*SH_MAG[2] + P[9][0]*SK_MX[3] - P[9][2]*SK_MX[2] - P[9][15]*SK_MX[1] + P[9][16]*SK_MX[5] - P[9][17]*SK_MX[4]); - Kfusion[10] = SK_MX[0]*(P[10][18] + P[10][1]*SH_MAG[0] + P[10][3]*SH_MAG[2] + P[10][0]*SK_MX[3] - P[10][2]*SK_MX[2] - P[10][15]*SK_MX[1] + P[10][16]*SK_MX[5] - P[10][17]*SK_MX[4]); - Kfusion[11] = SK_MX[0]*(P[11][18] + P[11][1]*SH_MAG[0] + P[11][3]*SH_MAG[2] + P[11][0]*SK_MX[3] - P[11][2]*SK_MX[2] - P[11][15]*SK_MX[1] + P[11][16]*SK_MX[5] - P[11][17]*SK_MX[4]); - Kfusion[12] = SK_MX[0]*(P[12][18] + P[12][1]*SH_MAG[0] + P[12][3]*SH_MAG[2] + P[12][0]*SK_MX[3] - P[12][2]*SK_MX[2] - P[12][15]*SK_MX[1] + P[12][16]*SK_MX[5] - P[12][17]*SK_MX[4]); - Kfusion[13] = SK_MX[0]*(P[13][18] + P[13][1]*SH_MAG[0] + P[13][3]*SH_MAG[2] + P[13][0]*SK_MX[3] - P[13][2]*SK_MX[2] - P[13][15]*SK_MX[1] + P[13][16]*SK_MX[5] - P[13][17]*SK_MX[4]); - Kfusion[14] = SK_MX[0]*(P[14][18] + P[14][1]*SH_MAG[0] + P[14][3]*SH_MAG[2] + P[14][0]*SK_MX[3] - P[14][2]*SK_MX[2] - P[14][15]*SK_MX[1] + P[14][16]*SK_MX[5] - P[14][17]*SK_MX[4]); - Kfusion[15] = SK_MX[0]*(P[15][18] + P[15][1]*SH_MAG[0] + P[15][3]*SH_MAG[2] + P[15][0]*SK_MX[3] - P[15][2]*SK_MX[2] - P[15][15]*SK_MX[1] + P[15][16]*SK_MX[5] - P[15][17]*SK_MX[4]); - Kfusion[16] = SK_MX[0]*(P[16][18] + P[16][1]*SH_MAG[0] + P[16][3]*SH_MAG[2] + P[16][0]*SK_MX[3] - P[16][2]*SK_MX[2] - P[16][15]*SK_MX[1] + P[16][16]*SK_MX[5] - P[16][17]*SK_MX[4]); - Kfusion[17] = SK_MX[0]*(P[17][18] + P[17][1]*SH_MAG[0] + P[17][3]*SH_MAG[2] + P[17][0]*SK_MX[3] - P[17][2]*SK_MX[2] - P[17][15]*SK_MX[1] + P[17][16]*SK_MX[5] - P[17][17]*SK_MX[4]); - Kfusion[18] = SK_MX[0]*(P[18][18] + P[18][1]*SH_MAG[0] + P[18][3]*SH_MAG[2] + P[18][0]*SK_MX[3] - P[18][2]*SK_MX[2] - P[18][15]*SK_MX[1] + P[18][16]*SK_MX[5] - P[18][17]*SK_MX[4]); - Kfusion[19] = SK_MX[0]*(P[19][18] + P[19][1]*SH_MAG[0] + P[19][3]*SH_MAG[2] + P[19][0]*SK_MX[3] - P[19][2]*SK_MX[2] - P[19][15]*SK_MX[1] + P[19][16]*SK_MX[5] - P[19][17]*SK_MX[4]); - Kfusion[20] = SK_MX[0]*(P[20][18] + P[20][1]*SH_MAG[0] + P[20][3]*SH_MAG[2] + P[20][0]*SK_MX[3] - P[20][2]*SK_MX[2] - P[20][15]*SK_MX[1] + P[20][16]*SK_MX[5] - P[20][17]*SK_MX[4]); - varInnovMag[0] = 1.0f/SK_MX[0]; - innovMag[0] = MagPred[0] - magData.x; - - // reset the observation index to 0 (we start by fusing the X - // measurement) - obsIndex = 0; - } - else if (obsIndex == 1) // we are now fusing the Y measurement - { - // Calculate observation jacobians - for (unsigned int i=0; i<n_states; i++) H_MAG[i] = 0; - H_MAG[0] = SH_MAG[2]; - H_MAG[1] = SH_MAG[1]; - H_MAG[2] = SH_MAG[0]; - H_MAG[3] = 2*magD*q2 - SH_MAG[8] - SH_MAG[7]; - H_MAG[15] = 2*q1*q2 - 2*q0*q3; - H_MAG[16] = SH_MAG[4] - SH_MAG[3] - SH_MAG[5] + SH_MAG[6]; - H_MAG[17] = 2*q0*q1 + 2*q2*q3; - H_MAG[19] = 1; - - // Calculate Kalman gain - SK_MY[0] = 1/(P[19][19] + R_MAG + P[0][19]*SH_MAG[2] + P[1][19]*SH_MAG[1] + P[2][19]*SH_MAG[0] - P[16][19]*(SH_MAG[3] - SH_MAG[4] + SH_MAG[5] - SH_MAG[6]) - (2*q0*q3 - 2*q1*q2)*(P[19][15] + P[0][15]*SH_MAG[2] + P[1][15]*SH_MAG[1] + P[2][15]*SH_MAG[0] - P[16][15]*(SH_MAG[3] - SH_MAG[4] + SH_MAG[5] - SH_MAG[6]) - P[15][15]*(2*q0*q3 - 2*q1*q2) + P[17][15]*(2*q0*q1 + 2*q2*q3) - P[3][15]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) + (2*q0*q1 + 2*q2*q3)*(P[19][17] + P[0][17]*SH_MAG[2] + P[1][17]*SH_MAG[1] + P[2][17]*SH_MAG[0] - P[16][17]*(SH_MAG[3] - SH_MAG[4] + SH_MAG[5] - SH_MAG[6]) - P[15][17]*(2*q0*q3 - 2*q1*q2) + P[17][17]*(2*q0*q1 + 2*q2*q3) - P[3][17]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) - (SH_MAG[7] + SH_MAG[8] - 2*magD*q2)*(P[19][3] + P[0][3]*SH_MAG[2] + P[1][3]*SH_MAG[1] + P[2][3]*SH_MAG[0] - P[16][3]*(SH_MAG[3] - SH_MAG[4] + SH_MAG[5] - SH_MAG[6]) - P[15][3]*(2*q0*q3 - 2*q1*q2) + P[17][3]*(2*q0*q1 + 2*q2*q3) - P[3][3]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) - P[15][19]*(2*q0*q3 - 2*q1*q2) + P[17][19]*(2*q0*q1 + 2*q2*q3) + SH_MAG[2]*(P[19][0] + P[0][0]*SH_MAG[2] + P[1][0]*SH_MAG[1] + P[2][0]*SH_MAG[0] - P[16][0]*(SH_MAG[3] - SH_MAG[4] + SH_MAG[5] - SH_MAG[6]) - P[15][0]*(2*q0*q3 - 2*q1*q2) + P[17][0]*(2*q0*q1 + 2*q2*q3) - P[3][0]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) + SH_MAG[1]*(P[19][1] + P[0][1]*SH_MAG[2] + P[1][1]*SH_MAG[1] + P[2][1]*SH_MAG[0] - P[16][1]*(SH_MAG[3] - SH_MAG[4] + SH_MAG[5] - SH_MAG[6]) - P[15][1]*(2*q0*q3 - 2*q1*q2) + P[17][1]*(2*q0*q1 + 2*q2*q3) - P[3][1]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) + SH_MAG[0]*(P[19][2] + P[0][2]*SH_MAG[2] + P[1][2]*SH_MAG[1] + P[2][2]*SH_MAG[0] - P[16][2]*(SH_MAG[3] - SH_MAG[4] + SH_MAG[5] - SH_MAG[6]) - P[15][2]*(2*q0*q3 - 2*q1*q2) + P[17][2]*(2*q0*q1 + 2*q2*q3) - P[3][2]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) - (SH_MAG[3] - SH_MAG[4] + SH_MAG[5] - SH_MAG[6])*(P[19][16] + P[0][16]*SH_MAG[2] + P[1][16]*SH_MAG[1] + P[2][16]*SH_MAG[0] - P[16][16]*(SH_MAG[3] - SH_MAG[4] + SH_MAG[5] - SH_MAG[6]) - P[15][16]*(2*q0*q3 - 2*q1*q2) + P[17][16]*(2*q0*q1 + 2*q2*q3) - P[3][16]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) - P[3][19]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)); - SK_MY[1] = SH_MAG[3] - SH_MAG[4] + SH_MAG[5] - SH_MAG[6]; - SK_MY[2] = SH_MAG[7] + SH_MAG[8] - 2*magD*q2; - SK_MY[3] = 2*q0*q3 - 2*q1*q2; - SK_MY[4] = 2*q0*q1 + 2*q2*q3; - Kfusion[0] = SK_MY[0]*(P[0][19] + P[0][0]*SH_MAG[2] + P[0][1]*SH_MAG[1] + P[0][2]*SH_MAG[0] - P[0][3]*SK_MY[2] - P[0][16]*SK_MY[1] - P[0][15]*SK_MY[3] + P[0][17]*SK_MY[4]); - Kfusion[1] = SK_MY[0]*(P[1][19] + P[1][0]*SH_MAG[2] + P[1][1]*SH_MAG[1] + P[1][2]*SH_MAG[0] - P[1][3]*SK_MY[2] - P[1][16]*SK_MY[1] - P[1][15]*SK_MY[3] + P[1][17]*SK_MY[4]); - Kfusion[2] = SK_MY[0]*(P[2][19] + P[2][0]*SH_MAG[2] + P[2][1]*SH_MAG[1] + P[2][2]*SH_MAG[0] - P[2][3]*SK_MY[2] - P[2][16]*SK_MY[1] - P[2][15]*SK_MY[3] + P[2][17]*SK_MY[4]); - Kfusion[3] = SK_MY[0]*(P[3][19] + P[3][0]*SH_MAG[2] + P[3][1]*SH_MAG[1] + P[3][2]*SH_MAG[0] - P[3][3]*SK_MY[2] - P[3][16]*SK_MY[1] - P[3][15]*SK_MY[3] + P[3][17]*SK_MY[4]); - Kfusion[4] = SK_MY[0]*(P[4][19] + P[4][0]*SH_MAG[2] + P[4][1]*SH_MAG[1] + P[4][2]*SH_MAG[0] - P[4][3]*SK_MY[2] - P[4][16]*SK_MY[1] - P[4][15]*SK_MY[3] + P[4][17]*SK_MY[4]); - Kfusion[5] = SK_MY[0]*(P[5][19] + P[5][0]*SH_MAG[2] + P[5][1]*SH_MAG[1] + P[5][2]*SH_MAG[0] - P[5][3]*SK_MY[2] - P[5][16]*SK_MY[1] - P[5][15]*SK_MY[3] + P[5][17]*SK_MY[4]); - Kfusion[6] = SK_MY[0]*(P[6][19] + P[6][0]*SH_MAG[2] + P[6][1]*SH_MAG[1] + P[6][2]*SH_MAG[0] - P[6][3]*SK_MY[2] - P[6][16]*SK_MY[1] - P[6][15]*SK_MY[3] + P[6][17]*SK_MY[4]); - Kfusion[7] = SK_MY[0]*(P[7][19] + P[7][0]*SH_MAG[2] + P[7][1]*SH_MAG[1] + P[7][2]*SH_MAG[0] - P[7][3]*SK_MY[2] - P[7][16]*SK_MY[1] - P[7][15]*SK_MY[3] + P[7][17]*SK_MY[4]); - Kfusion[8] = SK_MY[0]*(P[8][19] + P[8][0]*SH_MAG[2] + P[8][1]*SH_MAG[1] + P[8][2]*SH_MAG[0] - P[8][3]*SK_MY[2] - P[8][16]*SK_MY[1] - P[8][15]*SK_MY[3] + P[8][17]*SK_MY[4]); - Kfusion[9] = SK_MY[0]*(P[9][19] + P[9][0]*SH_MAG[2] + P[9][1]*SH_MAG[1] + P[9][2]*SH_MAG[0] - P[9][3]*SK_MY[2] - P[9][16]*SK_MY[1] - P[9][15]*SK_MY[3] + P[9][17]*SK_MY[4]); - Kfusion[10] = SK_MY[0]*(P[10][19] + P[10][0]*SH_MAG[2] + P[10][1]*SH_MAG[1] + P[10][2]*SH_MAG[0] - P[10][3]*SK_MY[2] - P[10][16]*SK_MY[1] - P[10][15]*SK_MY[3] + P[10][17]*SK_MY[4]); - Kfusion[11] = SK_MY[0]*(P[11][19] + P[11][0]*SH_MAG[2] + P[11][1]*SH_MAG[1] + P[11][2]*SH_MAG[0] - P[11][3]*SK_MY[2] - P[11][16]*SK_MY[1] - P[11][15]*SK_MY[3] + P[11][17]*SK_MY[4]); - Kfusion[12] = SK_MY[0]*(P[12][19] + P[12][0]*SH_MAG[2] + P[12][1]*SH_MAG[1] + P[12][2]*SH_MAG[0] - P[12][3]*SK_MY[2] - P[12][16]*SK_MY[1] - P[12][15]*SK_MY[3] + P[12][17]*SK_MY[4]); - Kfusion[13] = SK_MY[0]*(P[13][19] + P[13][0]*SH_MAG[2] + P[13][1]*SH_MAG[1] + P[13][2]*SH_MAG[0] - P[13][3]*SK_MY[2] - P[13][16]*SK_MY[1] - P[13][15]*SK_MY[3] + P[13][17]*SK_MY[4]); - Kfusion[14] = SK_MY[0]*(P[14][19] + P[14][0]*SH_MAG[2] + P[14][1]*SH_MAG[1] + P[14][2]*SH_MAG[0] - P[14][3]*SK_MY[2] - P[14][16]*SK_MY[1] - P[14][15]*SK_MY[3] + P[14][17]*SK_MY[4]); - Kfusion[15] = SK_MY[0]*(P[15][19] + P[15][0]*SH_MAG[2] + P[15][1]*SH_MAG[1] + P[15][2]*SH_MAG[0] - P[15][3]*SK_MY[2] - P[15][16]*SK_MY[1] - P[15][15]*SK_MY[3] + P[15][17]*SK_MY[4]); - Kfusion[16] = SK_MY[0]*(P[16][19] + P[16][0]*SH_MAG[2] + P[16][1]*SH_MAG[1] + P[16][2]*SH_MAG[0] - P[16][3]*SK_MY[2] - P[16][16]*SK_MY[1] - P[16][15]*SK_MY[3] + P[16][17]*SK_MY[4]); - Kfusion[17] = SK_MY[0]*(P[17][19] + P[17][0]*SH_MAG[2] + P[17][1]*SH_MAG[1] + P[17][2]*SH_MAG[0] - P[17][3]*SK_MY[2] - P[17][16]*SK_MY[1] - P[17][15]*SK_MY[3] + P[17][17]*SK_MY[4]); - Kfusion[18] = SK_MY[0]*(P[18][19] + P[18][0]*SH_MAG[2] + P[18][1]*SH_MAG[1] + P[18][2]*SH_MAG[0] - P[18][3]*SK_MY[2] - P[18][16]*SK_MY[1] - P[18][15]*SK_MY[3] + P[18][17]*SK_MY[4]); - Kfusion[19] = SK_MY[0]*(P[19][19] + P[19][0]*SH_MAG[2] + P[19][1]*SH_MAG[1] + P[19][2]*SH_MAG[0] - P[19][3]*SK_MY[2] - P[19][16]*SK_MY[1] - P[19][15]*SK_MY[3] + P[19][17]*SK_MY[4]); - Kfusion[20] = SK_MY[0]*(P[20][19] + P[20][0]*SH_MAG[2] + P[20][1]*SH_MAG[1] + P[20][2]*SH_MAG[0] - P[20][3]*SK_MY[2] - P[20][16]*SK_MY[1] - P[20][15]*SK_MY[3] + P[20][17]*SK_MY[4]); - varInnovMag[1] = 1.0f/SK_MY[0]; - innovMag[1] = MagPred[1] - magData.y; - } - else if (obsIndex == 2) // we are now fusing the Z measurement - { - // Calculate observation jacobians - for (uint8_t i=0; i<=20; i++) H_MAG[i] = 0; - H_MAG[0] = SH_MAG[1]; - H_MAG[1] = 2*magN*q3 - 2*magE*q0 - 2*magD*q1; - H_MAG[2] = SH_MAG[7] + SH_MAG[8] - 2*magD*q2; - H_MAG[3] = SH_MAG[0]; - H_MAG[15] = 2*q0*q2 + 2*q1*q3; - H_MAG[16] = 2*q2*q3 - 2*q0*q1; - H_MAG[17] = SH_MAG[3] - SH_MAG[4] - SH_MAG[5] + SH_MAG[6]; - H_MAG[20] = 1; - - // Calculate Kalman gain - SK_MZ[0] = 1/(P[20][20] + R_MAG + P[0][20]*SH_MAG[1] + P[3][20]*SH_MAG[0] + P[17][20]*(SH_MAG[3] - SH_MAG[4] - SH_MAG[5] + SH_MAG[6]) - (2*magD*q1 + 2*magE*q0 - 2*magN*q3)*(P[20][1] + P[0][1]*SH_MAG[1] + P[3][1]*SH_MAG[0] + P[17][1]*(SH_MAG[3] - SH_MAG[4] - SH_MAG[5] + SH_MAG[6]) + P[15][1]*(2*q0*q2 + 2*q1*q3) - P[16][1]*(2*q0*q1 - 2*q2*q3) - P[1][1]*(2*magD*q1 + 2*magE*q0 - 2*magN*q3) + P[2][1]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) + (SH_MAG[7] + SH_MAG[8] - 2*magD*q2)*(P[20][2] + P[0][2]*SH_MAG[1] + P[3][2]*SH_MAG[0] + P[17][2]*(SH_MAG[3] - SH_MAG[4] - SH_MAG[5] + SH_MAG[6]) + P[15][2]*(2*q0*q2 + 2*q1*q3) - P[16][2]*(2*q0*q1 - 2*q2*q3) - P[1][2]*(2*magD*q1 + 2*magE*q0 - 2*magN*q3) + P[2][2]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) + SH_MAG[1]*(P[20][0] + P[0][0]*SH_MAG[1] + P[3][0]*SH_MAG[0] + P[17][0]*(SH_MAG[3] - SH_MAG[4] - SH_MAG[5] + SH_MAG[6]) + P[15][0]*(2*q0*q2 + 2*q1*q3) - P[16][0]*(2*q0*q1 - 2*q2*q3) - P[1][0]*(2*magD*q1 + 2*magE*q0 - 2*magN*q3) + P[2][0]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) + SH_MAG[0]*(P[20][3] + P[0][3]*SH_MAG[1] + P[3][3]*SH_MAG[0] + P[17][3]*(SH_MAG[3] - SH_MAG[4] - SH_MAG[5] + SH_MAG[6]) + P[15][3]*(2*q0*q2 + 2*q1*q3) - P[16][3]*(2*q0*q1 - 2*q2*q3) - P[1][3]*(2*magD*q1 + 2*magE*q0 - 2*magN*q3) + P[2][3]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) + (SH_MAG[3] - SH_MAG[4] - SH_MAG[5] + SH_MAG[6])*(P[20][17] + P[0][17]*SH_MAG[1] + P[3][17]*SH_MAG[0] + P[17][17]*(SH_MAG[3] - SH_MAG[4] - SH_MAG[5] + SH_MAG[6]) + P[15][17]*(2*q0*q2 + 2*q1*q3) - P[16][17]*(2*q0*q1 - 2*q2*q3) - P[1][17]*(2*magD*q1 + 2*magE*q0 - 2*magN*q3) + P[2][17]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) + P[15][20]*(2*q0*q2 + 2*q1*q3) - P[16][20]*(2*q0*q1 - 2*q2*q3) - P[1][20]*(2*magD*q1 + 2*magE*q0 - 2*magN*q3) + (2*q0*q2 + 2*q1*q3)*(P[20][15] + P[0][15]*SH_MAG[1] + P[3][15]*SH_MAG[0] + P[17][15]*(SH_MAG[3] - SH_MAG[4] - SH_MAG[5] + SH_MAG[6]) + P[15][15]*(2*q0*q2 + 2*q1*q3) - P[16][15]*(2*q0*q1 - 2*q2*q3) - P[1][15]*(2*magD*q1 + 2*magE*q0 - 2*magN*q3) + P[2][15]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) - (2*q0*q1 - 2*q2*q3)*(P[20][16] + P[0][16]*SH_MAG[1] + P[3][16]*SH_MAG[0] + P[17][16]*(SH_MAG[3] - SH_MAG[4] - SH_MAG[5] + SH_MAG[6]) + P[15][16]*(2*q0*q2 + 2*q1*q3) - P[16][16]*(2*q0*q1 - 2*q2*q3) - P[1][16]*(2*magD*q1 + 2*magE*q0 - 2*magN*q3) + P[2][16]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)) + P[2][20]*(SH_MAG[7] + SH_MAG[8] - 2*magD*q2)); - SK_MZ[1] = SH_MAG[3] - SH_MAG[4] - SH_MAG[5] + SH_MAG[6]; - SK_MZ[2] = 2*magD*q1 + 2*magE*q0 - 2*magN*q3; - SK_MZ[3] = SH_MAG[7] + SH_MAG[8] - 2*magD*q2; - SK_MZ[4] = 2*q0*q1 - 2*q2*q3; - SK_MZ[5] = 2*q0*q2 + 2*q1*q3; - Kfusion[0] = SK_MZ[0]*(P[0][20] + P[0][0]*SH_MAG[1] + P[0][3]*SH_MAG[0] - P[0][1]*SK_MZ[2] + P[0][2]*SK_MZ[3] + P[0][17]*SK_MZ[1] + P[0][15]*SK_MZ[5] - P[0][16]*SK_MZ[4]); - Kfusion[1] = SK_MZ[0]*(P[1][20] + P[1][0]*SH_MAG[1] + P[1][3]*SH_MAG[0] - P[1][1]*SK_MZ[2] + P[1][2]*SK_MZ[3] + P[1][17]*SK_MZ[1] + P[1][15]*SK_MZ[5] - P[1][16]*SK_MZ[4]); - Kfusion[2] = SK_MZ[0]*(P[2][20] + P[2][0]*SH_MAG[1] + P[2][3]*SH_MAG[0] - P[2][1]*SK_MZ[2] + P[2][2]*SK_MZ[3] + P[2][17]*SK_MZ[1] + P[2][15]*SK_MZ[5] - P[2][16]*SK_MZ[4]); - Kfusion[3] = SK_MZ[0]*(P[3][20] + P[3][0]*SH_MAG[1] + P[3][3]*SH_MAG[0] - P[3][1]*SK_MZ[2] + P[3][2]*SK_MZ[3] + P[3][17]*SK_MZ[1] + P[3][15]*SK_MZ[5] - P[3][16]*SK_MZ[4]); - Kfusion[4] = SK_MZ[0]*(P[4][20] + P[4][0]*SH_MAG[1] + P[4][3]*SH_MAG[0] - P[4][1]*SK_MZ[2] + P[4][2]*SK_MZ[3] + P[4][17]*SK_MZ[1] + P[4][15]*SK_MZ[5] - P[4][16]*SK_MZ[4]); - Kfusion[5] = SK_MZ[0]*(P[5][20] + P[5][0]*SH_MAG[1] + P[5][3]*SH_MAG[0] - P[5][1]*SK_MZ[2] + P[5][2]*SK_MZ[3] + P[5][17]*SK_MZ[1] + P[5][15]*SK_MZ[5] - P[5][16]*SK_MZ[4]); - Kfusion[6] = SK_MZ[0]*(P[6][20] + P[6][0]*SH_MAG[1] + P[6][3]*SH_MAG[0] - P[6][1]*SK_MZ[2] + P[6][2]*SK_MZ[3] + P[6][17]*SK_MZ[1] + P[6][15]*SK_MZ[5] - P[6][16]*SK_MZ[4]); - Kfusion[7] = SK_MZ[0]*(P[7][20] + P[7][0]*SH_MAG[1] + P[7][3]*SH_MAG[0] - P[7][1]*SK_MZ[2] + P[7][2]*SK_MZ[3] + P[7][17]*SK_MZ[1] + P[7][15]*SK_MZ[5] - P[7][16]*SK_MZ[4]); - Kfusion[8] = SK_MZ[0]*(P[8][20] + P[8][0]*SH_MAG[1] + P[8][3]*SH_MAG[0] - P[8][1]*SK_MZ[2] + P[8][2]*SK_MZ[3] + P[8][17]*SK_MZ[1] + P[8][15]*SK_MZ[5] - P[8][16]*SK_MZ[4]); - Kfusion[9] = SK_MZ[0]*(P[9][20] + P[9][0]*SH_MAG[1] + P[9][3]*SH_MAG[0] - P[9][1]*SK_MZ[2] + P[9][2]*SK_MZ[3] + P[9][17]*SK_MZ[1] + P[9][15]*SK_MZ[5] - P[9][16]*SK_MZ[4]); - Kfusion[10] = SK_MZ[0]*(P[10][20] + P[10][0]*SH_MAG[1] + P[10][3]*SH_MAG[0] - P[10][1]*SK_MZ[2] + P[10][2]*SK_MZ[3] + P[10][17]*SK_MZ[1] + P[10][15]*SK_MZ[5] - P[10][16]*SK_MZ[4]); - Kfusion[11] = SK_MZ[0]*(P[11][20] + P[11][0]*SH_MAG[1] + P[11][3]*SH_MAG[0] - P[11][1]*SK_MZ[2] + P[11][2]*SK_MZ[3] + P[11][17]*SK_MZ[1] + P[11][15]*SK_MZ[5] - P[11][16]*SK_MZ[4]); - Kfusion[12] = SK_MZ[0]*(P[12][20] + P[12][0]*SH_MAG[1] + P[12][3]*SH_MAG[0] - P[12][1]*SK_MZ[2] + P[12][2]*SK_MZ[3] + P[12][17]*SK_MZ[1] + P[12][15]*SK_MZ[5] - P[12][16]*SK_MZ[4]); - Kfusion[13] = SK_MZ[0]*(P[13][20] + P[13][0]*SH_MAG[1] + P[13][3]*SH_MAG[0] - P[13][1]*SK_MZ[2] + P[13][2]*SK_MZ[3] + P[13][17]*SK_MZ[1] + P[13][15]*SK_MZ[5] - P[13][16]*SK_MZ[4]); - Kfusion[14] = SK_MZ[0]*(P[14][20] + P[14][0]*SH_MAG[1] + P[14][3]*SH_MAG[0] - P[14][1]*SK_MZ[2] + P[14][2]*SK_MZ[3] + P[14][17]*SK_MZ[1] + P[14][15]*SK_MZ[5] - P[14][16]*SK_MZ[4]); - Kfusion[15] = SK_MZ[0]*(P[15][20] + P[15][0]*SH_MAG[1] + P[15][3]*SH_MAG[0] - P[15][1]*SK_MZ[2] + P[15][2]*SK_MZ[3] + P[15][17]*SK_MZ[1] + P[15][15]*SK_MZ[5] - P[15][16]*SK_MZ[4]); - Kfusion[16] = SK_MZ[0]*(P[16][20] + P[16][0]*SH_MAG[1] + P[16][3]*SH_MAG[0] - P[16][1]*SK_MZ[2] + P[16][2]*SK_MZ[3] + P[16][17]*SK_MZ[1] + P[16][15]*SK_MZ[5] - P[16][16]*SK_MZ[4]); - Kfusion[17] = SK_MZ[0]*(P[17][20] + P[17][0]*SH_MAG[1] + P[17][3]*SH_MAG[0] - P[17][1]*SK_MZ[2] + P[17][2]*SK_MZ[3] + P[17][17]*SK_MZ[1] + P[17][15]*SK_MZ[5] - P[17][16]*SK_MZ[4]); - Kfusion[18] = SK_MZ[0]*(P[18][20] + P[18][0]*SH_MAG[1] + P[18][3]*SH_MAG[0] - P[18][1]*SK_MZ[2] + P[18][2]*SK_MZ[3] + P[18][17]*SK_MZ[1] + P[18][15]*SK_MZ[5] - P[18][16]*SK_MZ[4]); - Kfusion[19] = SK_MZ[0]*(P[19][20] + P[19][0]*SH_MAG[1] + P[19][3]*SH_MAG[0] - P[19][1]*SK_MZ[2] + P[19][2]*SK_MZ[3] + P[19][17]*SK_MZ[1] + P[19][15]*SK_MZ[5] - P[19][16]*SK_MZ[4]); - Kfusion[20] = SK_MZ[0]*(P[20][20] + P[20][0]*SH_MAG[1] + P[20][3]*SH_MAG[0] - P[20][1]*SK_MZ[2] + P[20][2]*SK_MZ[3] + P[20][17]*SK_MZ[1] + P[20][15]*SK_MZ[5] - P[20][16]*SK_MZ[4]); - varInnovMag[2] = 1.0f/SK_MZ[0]; - innovMag[2] = MagPred[2] - magData.z; - - } - - // Check the innovation for consistency and don't fuse if > 5Sigma - if ((innovMag[obsIndex]*innovMag[obsIndex]/varInnovMag[obsIndex]) < 25.0) - { - // correct the state vector - for (uint8_t j= 0; j<=indexLimit; j++) - { - states[j] = states[j] - Kfusion[j] * innovMag[obsIndex]; - } - // normalise the quaternion states - float quatMag = sqrt(states[0]*states[0] + states[1]*states[1] + states[2]*states[2] + states[3]*states[3]); - if (quatMag > 1e-12) - { - for (uint8_t j= 0; j<=3; j++) - { - float quatMagInv = 1.0f/quatMag; - states[j] = states[j] * quatMagInv; - } - } - // correct the covariance P = (I - K*H)*P - // take advantage of the empty columns in KH to reduce the - // number of operations - for (uint8_t i = 0; i<=indexLimit; i++) - { - for (uint8_t j = 0; j<=3; j++) - { - KH[i][j] = Kfusion[i] * H_MAG[j]; - } - for (uint8_t j = 4; j<=17; j++) KH[i][j] = 0.0f; - if (!onGround) - { - for (uint8_t j = 15; j<=20; j++) - { - KH[i][j] = Kfusion[i] * H_MAG[j]; - } - } - else - { - for (uint8_t j = 15; j<=20; j++) - { - KH[i][j] = 0.0f; - } - } - } - for (uint8_t i = 0; i<=indexLimit; i++) - { - for (uint8_t j = 0; j<=indexLimit; j++) - { - KHP[i][j] = 0.0f; - for (uint8_t k = 0; k<=3; k++) - { - KHP[i][j] = KHP[i][j] + KH[i][k] * P[k][j]; - } - if (!onGround) - { - for (uint8_t k = 15; k<=20; k++) - { - KHP[i][j] = KHP[i][j] + KH[i][k] * P[k][j]; - } - } - } - } - } - for (uint8_t i = 0; i<=indexLimit; i++) - { - for (uint8_t j = 0; j<=indexLimit; j++) - { - P[i][j] = P[i][j] - KHP[i][j]; - } - } - } - obsIndex = obsIndex + 1; - - ForceSymmetry(); - ConstrainVariances(); -} - -void AttPosEKF::FuseAirspeed() -{ - float vn; - float ve; - float vd; - float vwn; - float vwe; - const float R_TAS = 2.0f; - float SH_TAS[3]; - float Kfusion[21]; - float VtasPred; - - // Copy required states to local variable names - vn = statesAtVtasMeasTime[4]; - ve = statesAtVtasMeasTime[5]; - vd = statesAtVtasMeasTime[6]; - vwn = statesAtVtasMeasTime[13]; - vwe = statesAtVtasMeasTime[14]; - - // Need to check that it is flying before fusing airspeed data - // Calculate the predicted airspeed - VtasPred = sqrtf((ve - vwe)*(ve - vwe) + (vn - vwn)*(vn - vwn) + vd*vd); - // Perform fusion of True Airspeed measurement - if (useAirspeed && fuseVtasData && (VtasPred > 1.0f) && (VtasMeas > 8.0f)) - { - // Calculate observation jacobians - SH_TAS[0] = 1/(sqrt(sq(ve - vwe) + sq(vn - vwn) + sq(vd))); - SH_TAS[1] = (SH_TAS[0]*(2.0f*ve - 2*vwe))/2.0f; - SH_TAS[2] = (SH_TAS[0]*(2.0f*vn - 2*vwn))/2.0f; - - float H_TAS[21]; - for (uint8_t i=0; i<=20; i++) H_TAS[i] = 0.0f; - H_TAS[4] = SH_TAS[2]; - H_TAS[5] = SH_TAS[1]; - H_TAS[6] = vd*SH_TAS[0]; - H_TAS[13] = -SH_TAS[2]; - H_TAS[14] = -SH_TAS[1]; - - // Calculate Kalman gains - float SK_TAS = 1.0f/(R_TAS + SH_TAS[2]*(P[4][4]*SH_TAS[2] + P[5][4]*SH_TAS[1] - P[13][4]*SH_TAS[2] - P[14][4]*SH_TAS[1] + P[6][4]*vd*SH_TAS[0]) + SH_TAS[1]*(P[4][5]*SH_TAS[2] + P[5][5]*SH_TAS[1] - P[13][5]*SH_TAS[2] - P[14][5]*SH_TAS[1] + P[6][5]*vd*SH_TAS[0]) - SH_TAS[2]*(P[4][13]*SH_TAS[2] + P[5][13]*SH_TAS[1] - P[13][13]*SH_TAS[2] - P[14][13]*SH_TAS[1] + P[6][13]*vd*SH_TAS[0]) - SH_TAS[1]*(P[4][14]*SH_TAS[2] + P[5][14]*SH_TAS[1] - P[13][14]*SH_TAS[2] - P[14][14]*SH_TAS[1] + P[6][14]*vd*SH_TAS[0]) + vd*SH_TAS[0]*(P[4][6]*SH_TAS[2] + P[5][6]*SH_TAS[1] - P[13][6]*SH_TAS[2] - P[14][6]*SH_TAS[1] + P[6][6]*vd*SH_TAS[0])); - Kfusion[0] = SK_TAS*(P[0][4]*SH_TAS[2] - P[0][13]*SH_TAS[2] + P[0][5]*SH_TAS[1] - P[0][14]*SH_TAS[1] + P[0][6]*vd*SH_TAS[0]); - Kfusion[1] = SK_TAS*(P[1][4]*SH_TAS[2] - P[1][13]*SH_TAS[2] + P[1][5]*SH_TAS[1] - P[1][14]*SH_TAS[1] + P[1][6]*vd*SH_TAS[0]); - Kfusion[2] = SK_TAS*(P[2][4]*SH_TAS[2] - P[2][13]*SH_TAS[2] + P[2][5]*SH_TAS[1] - P[2][14]*SH_TAS[1] + P[2][6]*vd*SH_TAS[0]); - Kfusion[3] = SK_TAS*(P[3][4]*SH_TAS[2] - P[3][13]*SH_TAS[2] + P[3][5]*SH_TAS[1] - P[3][14]*SH_TAS[1] + P[3][6]*vd*SH_TAS[0]); - Kfusion[4] = SK_TAS*(P[4][4]*SH_TAS[2] - P[4][13]*SH_TAS[2] + P[4][5]*SH_TAS[1] - P[4][14]*SH_TAS[1] + P[4][6]*vd*SH_TAS[0]); - Kfusion[5] = SK_TAS*(P[5][4]*SH_TAS[2] - P[5][13]*SH_TAS[2] + P[5][5]*SH_TAS[1] - P[5][14]*SH_TAS[1] + P[5][6]*vd*SH_TAS[0]); - Kfusion[6] = SK_TAS*(P[6][4]*SH_TAS[2] - P[6][13]*SH_TAS[2] + P[6][5]*SH_TAS[1] - P[6][14]*SH_TAS[1] + P[6][6]*vd*SH_TAS[0]); - Kfusion[7] = SK_TAS*(P[7][4]*SH_TAS[2] - P[7][13]*SH_TAS[2] + P[7][5]*SH_TAS[1] - P[7][14]*SH_TAS[1] + P[7][6]*vd*SH_TAS[0]); - Kfusion[8] = SK_TAS*(P[8][4]*SH_TAS[2] - P[8][13]*SH_TAS[2] + P[8][5]*SH_TAS[1] - P[8][14]*SH_TAS[1] + P[8][6]*vd*SH_TAS[0]); - Kfusion[9] = SK_TAS*(P[9][4]*SH_TAS[2] - P[9][13]*SH_TAS[2] + P[9][5]*SH_TAS[1] - P[9][14]*SH_TAS[1] + P[9][6]*vd*SH_TAS[0]); - Kfusion[10] = SK_TAS*(P[10][4]*SH_TAS[2] - P[10][13]*SH_TAS[2] + P[10][5]*SH_TAS[1] - P[10][14]*SH_TAS[1] + P[10][6]*vd*SH_TAS[0]); - Kfusion[11] = SK_TAS*(P[11][4]*SH_TAS[2] - P[11][13]*SH_TAS[2] + P[11][5]*SH_TAS[1] - P[11][14]*SH_TAS[1] + P[11][6]*vd*SH_TAS[0]); - Kfusion[12] = SK_TAS*(P[12][4]*SH_TAS[2] - P[12][13]*SH_TAS[2] + P[12][5]*SH_TAS[1] - P[12][14]*SH_TAS[1] + P[12][6]*vd*SH_TAS[0]); - Kfusion[13] = SK_TAS*(P[13][4]*SH_TAS[2] - P[13][13]*SH_TAS[2] + P[13][5]*SH_TAS[1] - P[13][14]*SH_TAS[1] + P[13][6]*vd*SH_TAS[0]); - Kfusion[14] = SK_TAS*(P[14][4]*SH_TAS[2] - P[14][13]*SH_TAS[2] + P[14][5]*SH_TAS[1] - P[14][14]*SH_TAS[1] + P[14][6]*vd*SH_TAS[0]); - Kfusion[15] = SK_TAS*(P[15][4]*SH_TAS[2] - P[15][13]*SH_TAS[2] + P[15][5]*SH_TAS[1] - P[15][14]*SH_TAS[1] + P[15][6]*vd*SH_TAS[0]); - Kfusion[16] = SK_TAS*(P[16][4]*SH_TAS[2] - P[16][13]*SH_TAS[2] + P[16][5]*SH_TAS[1] - P[16][14]*SH_TAS[1] + P[16][6]*vd*SH_TAS[0]); - Kfusion[17] = SK_TAS*(P[17][4]*SH_TAS[2] - P[17][13]*SH_TAS[2] + P[17][5]*SH_TAS[1] - P[17][14]*SH_TAS[1] + P[17][6]*vd*SH_TAS[0]); - Kfusion[18] = SK_TAS*(P[18][4]*SH_TAS[2] - P[18][13]*SH_TAS[2] + P[18][5]*SH_TAS[1] - P[18][14]*SH_TAS[1] + P[18][6]*vd*SH_TAS[0]); - Kfusion[19] = SK_TAS*(P[19][4]*SH_TAS[2] - P[19][13]*SH_TAS[2] + P[19][5]*SH_TAS[1] - P[19][14]*SH_TAS[1] + P[19][6]*vd*SH_TAS[0]); - Kfusion[20] = SK_TAS*(P[20][4]*SH_TAS[2] - P[20][13]*SH_TAS[2] + P[20][5]*SH_TAS[1] - P[20][14]*SH_TAS[1] + P[20][6]*vd*SH_TAS[0]); - varInnovVtas = 1.0f/SK_TAS; - - // Calculate the measurement innovation - innovVtas = VtasPred - VtasMeas; - // Check the innovation for consistency and don't fuse if > 5Sigma - if ((innovVtas*innovVtas*SK_TAS) < 25.0) - { - // correct the state vector - for (uint8_t j=0; j<=20; j++) - { - states[j] = states[j] - Kfusion[j] * innovVtas; - } - // normalise the quaternion states - float quatMag = sqrt(states[0]*states[0] + states[1]*states[1] + states[2]*states[2] + states[3]*states[3]); - if (quatMag > 1e-12f) - { - for (uint8_t j= 0; j<=3; j++) - { - float quatMagInv = 1.0f/quatMag; - states[j] = states[j] * quatMagInv; - } - } - // correct the covariance P = (I - K*H)*P - // take advantage of the empty columns in H to reduce the - // number of operations - for (uint8_t i = 0; i<=20; i++) - { - for (uint8_t j = 0; j<=3; j++) KH[i][j] = 0.0; - for (uint8_t j = 4; j<=6; j++) - { - KH[i][j] = Kfusion[i] * H_TAS[j]; - } - for (uint8_t j = 7; j<=12; j++) KH[i][j] = 0.0; - for (uint8_t j = 13; j<=14; j++) - { - KH[i][j] = Kfusion[i] * H_TAS[j]; - } - for (uint8_t j = 15; j<=20; j++) KH[i][j] = 0.0; - } - for (uint8_t i = 0; i<=20; i++) - { - for (uint8_t j = 0; j<=20; j++) - { - KHP[i][j] = 0.0; - for (uint8_t k = 4; k<=6; k++) - { - KHP[i][j] = KHP[i][j] + KH[i][k] * P[k][j]; - } - for (uint8_t k = 13; k<=14; k++) - { - KHP[i][j] = KHP[i][j] + KH[i][k] * P[k][j]; - } - } - } - for (uint8_t i = 0; i<=20; i++) - { - for (uint8_t j = 0; j<=20; j++) - { - P[i][j] = P[i][j] - KHP[i][j]; - } - } - } - } - - ForceSymmetry(); - ConstrainVariances(); -} - -void AttPosEKF::zeroRows(float (&covMat)[n_states][n_states], uint8_t first, uint8_t last) -{ - uint8_t row; - uint8_t col; - for (row=first; row<=last; row++) - { - for (col=0; col<n_states; col++) - { - covMat[row][col] = 0.0; - } - } -} - -void AttPosEKF::zeroCols(float (&covMat)[n_states][n_states], uint8_t first, uint8_t last) -{ - uint8_t row; - uint8_t col; - for (col=first; col<=last; col++) - { - for (row=0; row < n_states; row++) - { - covMat[row][col] = 0.0; - } - } -} - -float AttPosEKF::sq(float valIn) -{ - return valIn*valIn; -} - -// Store states in a history array along with time stamp -void AttPosEKF::StoreStates(uint64_t timestamp_ms) -{ - for (unsigned i=0; i<n_states; i++) - storedStates[i][storeIndex] = states[i]; - statetimeStamp[storeIndex] = timestamp_ms; - storeIndex++; - if (storeIndex == data_buffer_size) - storeIndex = 0; -} - -void AttPosEKF::ResetStoredStates() -{ - // reset all stored states - memset(&storedStates[0][0], 0, sizeof(storedStates)); - memset(&statetimeStamp[0], 0, sizeof(statetimeStamp)); - - // reset store index to first - storeIndex = 0; - - // overwrite all existing states - for (unsigned i = 0; i < n_states; i++) { - storedStates[i][storeIndex] = states[i]; - } - - statetimeStamp[storeIndex] = millis(); - - // increment to next storage index - storeIndex++; -} - -// Output the state vector stored at the time that best matches that specified by msec -int AttPosEKF::RecallStates(float statesForFusion[n_states], uint64_t msec) -{ - int ret = 0; - - // int64_t bestTimeDelta = 200; - // unsigned bestStoreIndex = 0; - // for (unsigned storeIndex = 0; storeIndex < data_buffer_size; storeIndex++) - // { - // // The time delta can also end up as negative number, - // // since we might compare future to past or past to future - // // therefore cast to int64. - // int64_t timeDelta = (int64_t)msec - (int64_t)statetimeStamp[storeIndex]; - // if (timeDelta < 0) { - // timeDelta = -timeDelta; - // } - - // if (timeDelta < bestTimeDelta) - // { - // bestStoreIndex = storeIndex; - // bestTimeDelta = timeDelta; - // } - // } - // if (bestTimeDelta < 200) // only output stored state if < 200 msec retrieval error - // { - // for (uint8_t i=0; i < n_states; i++) { - // if (isfinite(storedStates[i][bestStoreIndex])) { - // statesForFusion[i] = storedStates[i][bestStoreIndex]; - // } else if (isfinite(states[i])) { - // statesForFusion[i] = states[i]; - // } else { - // // There is not much we can do here, except reporting the error we just - // // found. - // ret++; - // } - // } - // else // otherwise output current state - // { - for (uint8_t i=0; i < n_states; i++) { - if (isfinite(states[i])) { - statesForFusion[i] = states[i]; - } else { - ret++; - } - } - // } - - return ret; -} - -void AttPosEKF::quat2Tnb(Mat3f &Tnb, const float (&quat)[4]) -{ - // Calculate the nav to body cosine matrix - float q00 = sq(quat[0]); - float q11 = sq(quat[1]); - float q22 = sq(quat[2]); - float q33 = sq(quat[3]); - float q01 = quat[0]*quat[1]; - float q02 = quat[0]*quat[2]; - float q03 = quat[0]*quat[3]; - float q12 = quat[1]*quat[2]; - float q13 = quat[1]*quat[3]; - float q23 = quat[2]*quat[3]; - - Tnb.x.x = q00 + q11 - q22 - q33; - Tnb.y.y = q00 - q11 + q22 - q33; - Tnb.z.z = q00 - q11 - q22 + q33; - Tnb.y.x = 2*(q12 - q03); - Tnb.z.x = 2*(q13 + q02); - Tnb.x.y = 2*(q12 + q03); - Tnb.z.y = 2*(q23 - q01); - Tnb.x.z = 2*(q13 - q02); - Tnb.y.z = 2*(q23 + q01); -} - -void AttPosEKF::quat2Tbn(Mat3f &Tbn, const float (&quat)[4]) -{ - // Calculate the body to nav cosine matrix - float q00 = sq(quat[0]); - float q11 = sq(quat[1]); - float q22 = sq(quat[2]); - float q33 = sq(quat[3]); - float q01 = quat[0]*quat[1]; - float q02 = quat[0]*quat[2]; - float q03 = quat[0]*quat[3]; - float q12 = quat[1]*quat[2]; - float q13 = quat[1]*quat[3]; - float q23 = quat[2]*quat[3]; - - Tbn.x.x = q00 + q11 - q22 - q33; - Tbn.y.y = q00 - q11 + q22 - q33; - Tbn.z.z = q00 - q11 - q22 + q33; - Tbn.x.y = 2*(q12 - q03); - Tbn.x.z = 2*(q13 + q02); - Tbn.y.x = 2*(q12 + q03); - Tbn.y.z = 2*(q23 - q01); - Tbn.z.x = 2*(q13 - q02); - Tbn.z.y = 2*(q23 + q01); -} - -void AttPosEKF::eul2quat(float (&quat)[4], const float (&eul)[3]) -{ - float u1 = cos(0.5f*eul[0]); - float u2 = cos(0.5f*eul[1]); - float u3 = cos(0.5f*eul[2]); - float u4 = sin(0.5f*eul[0]); - float u5 = sin(0.5f*eul[1]); - float u6 = sin(0.5f*eul[2]); - quat[0] = u1*u2*u3+u4*u5*u6; - quat[1] = u4*u2*u3-u1*u5*u6; - quat[2] = u1*u5*u3+u4*u2*u6; - quat[3] = u1*u2*u6-u4*u5*u3; -} - -void AttPosEKF::quat2eul(float (&y)[3], const float (&u)[4]) -{ - y[0] = atan2f((2.0f*(u[2]*u[3]+u[0]*u[1])) , (u[0]*u[0]-u[1]*u[1]-u[2]*u[2]+u[3]*u[3])); - y[1] = -asinf(2.0f*(u[1]*u[3]-u[0]*u[2])); - y[2] = atan2f((2.0f*(u[1]*u[2]+u[0]*u[3])) , (u[0]*u[0]+u[1]*u[1]-u[2]*u[2]-u[3]*u[3])); -} - -void AttPosEKF::calcvelNED(float (&velNED)[3], float gpsCourse, float gpsGndSpd, float gpsVelD) -{ - velNED[0] = gpsGndSpd*cosf(gpsCourse); - velNED[1] = gpsGndSpd*sinf(gpsCourse); - velNED[2] = gpsVelD; -} - -void AttPosEKF::calcposNED(float (&posNED)[3], float lat, float lon, float hgt, float latRef, float lonRef, float hgtRef) -{ - posNED[0] = earthRadius * (lat - latRef); - posNED[1] = earthRadius * cos(latRef) * (lon - lonRef); - posNED[2] = -(hgt - hgtRef); -} - -void AttPosEKF::calcLLH(float (&posNED)[3], float lat, float lon, float hgt, float latRef, float lonRef, float hgtRef) -{ - lat = latRef + posNED[0] * earthRadiusInv; - lon = lonRef + posNED[1] * earthRadiusInv / cos(latRef); - hgt = hgtRef - posNED[2]; -} - -void AttPosEKF::OnGroundCheck() -{ - onGround = (((sq(velNED[0]) + sq(velNED[1]) + sq(velNED[2])) < 4.0f) && (VtasMeas < 8.0f)); - if (staticMode) { - staticMode = !(GPSstatus > GPS_FIX_2D); - } -} - -void AttPosEKF::calcEarthRateNED(Vector3f &omega, float latitude) -{ - //Define Earth rotation vector in the NED navigation frame - omega.x = earthRate*cosf(latitude); - omega.y = 0.0f; - omega.z = -earthRate*sinf(latitude); -} - -void AttPosEKF::CovarianceInit() -{ - // Calculate the initial covariance matrix P - P[0][0] = 0.25f * sq(1.0f*deg2rad); - P[1][1] = 0.25f * sq(1.0f*deg2rad); - P[2][2] = 0.25f * sq(1.0f*deg2rad); - P[3][3] = 0.25f * sq(10.0f*deg2rad); - P[4][4] = sq(0.7); - P[5][5] = P[4][4]; - P[6][6] = sq(0.7); - P[7][7] = sq(15.0); - P[8][8] = P[7][7]; - P[9][9] = sq(5.0); - P[10][10] = sq(0.1*deg2rad*dtIMU); - P[11][11] = P[10][10]; - P[12][12] = P[10][10]; - P[13][13] = sq(8.0f); - P[14][4] = P[13][13]; - P[15][15] = sq(0.02f); - P[16][16] = P[15][15]; - P[17][17] = P[15][15]; - P[18][18] = sq(0.02f); - P[19][19] = P[18][18]; - P[20][20] = P[18][18]; -} - -float AttPosEKF::ConstrainFloat(float val, float min, float max) -{ - return (val > max) ? max : ((val < min) ? min : val); -} - -void AttPosEKF::ConstrainVariances() -{ - if (!numericalProtection) { - return; - } - - // State vector: - // 0-3: quaternions (q0, q1, q2, q3) - // 4-6: Velocity - m/sec (North, East, Down) - // 7-9: Position - m (North, East, Down) - // 10-12: Delta Angle bias - rad (X,Y,Z) - // 13-14: Wind Vector - m/sec (North,East) - // 15-17: Earth Magnetic Field Vector - gauss (North, East, Down) - // 18-20: Body Magnetic Field Vector - gauss (X,Y,Z) - - // Constrain quaternion variances - for (unsigned i = 0; i < 4; i++) { - P[i][i] = ConstrainFloat(P[i][i], 0.0f, 1.0f); - } - - // Constrain velocitie variances - for (unsigned i = 4; i < 7; i++) { - P[i][i] = ConstrainFloat(P[i][i], 0.0f, 1.0e3f); - } - - // Constrain position variances - for (unsigned i = 7; i < 10; i++) { - P[i][i] = ConstrainFloat(P[i][i], 0.0f, 1.0e6f); - } - - // Angle bias variances - for (unsigned i = 10; i < 13; i++) { - P[i][i] = ConstrainFloat(P[i][i], 0.0f, sq(0.175f * dtIMU)); - } - - // Wind velocity variances - for (unsigned i = 13; i < 15; i++) { - P[i][i] = ConstrainFloat(P[i][i], 0.0f, 1.0e3f); - } - - // Earth magnetic field variances - for (unsigned i = 15; i < 18; i++) { - P[i][i] = ConstrainFloat(P[i][i], 0.0f, 1.0f); - } - - // Body magnetic field variances - for (unsigned i = 18; i < 21; i++) { - P[i][i] = ConstrainFloat(P[i][i], 0.0f, 1.0f); - } - -} - -void AttPosEKF::ConstrainStates() -{ - if (!numericalProtection) { - return; - } - - // State vector: - // 0-3: quaternions (q0, q1, q2, q3) - // 4-6: Velocity - m/sec (North, East, Down) - // 7-9: Position - m (North, East, Down) - // 10-12: Delta Angle bias - rad (X,Y,Z) - // 13-14: Wind Vector - m/sec (North,East) - // 15-17: Earth Magnetic Field Vector - gauss (North, East, Down) - // 18-20: Body Magnetic Field Vector - gauss (X,Y,Z) - - - // Constrain quaternion - for (unsigned i = 0; i < 4; i++) { - states[i] = ConstrainFloat(states[i], -1.0f, 1.0f); - } - - // Constrain velocities to what GPS can do for us - for (unsigned i = 4; i < 7; i++) { - states[i] = ConstrainFloat(states[i], -5.0e2f, 5.0e2f); - } - - // Constrain position to a reasonable vehicle range (in meters) - for (unsigned i = 7; i < 9; i++) { - states[i] = ConstrainFloat(states[i], -1.0e6f, 1.0e6f); - } - - // Constrain altitude - states[9] = ConstrainFloat(states[9], -4.0e4f, 1.0e4f); - - // Angle bias limit - set to 8 degrees / sec - for (unsigned i = 10; i < 13; i++) { - states[i] = ConstrainFloat(states[i], -0.12f * dtIMU, 0.12f * dtIMU); - } - - // Wind velocity limits - assume 120 m/s max velocity - for (unsigned i = 13; i < 15; i++) { - states[i] = ConstrainFloat(states[i], -120.0f, 120.0f); - } - - // Earth magnetic field limits (in Gauss) - for (unsigned i = 15; i < 18; i++) { - states[i] = ConstrainFloat(states[i], -1.0f, 1.0f); - } - - // Body magnetic field variances (in Gauss). - // the max offset should be in this range. - for (unsigned i = 18; i < 21; i++) { - states[i] = ConstrainFloat(states[i], -0.5f, 0.5f); - } - -} - -void AttPosEKF::ForceSymmetry() -{ - if (!numericalProtection) { - return; - } - - // Force symmetry on the covariance matrix to prevent ill-conditioning - // of the matrix which would cause the filter to blow-up - for (unsigned i = 1; i < n_states; i++) - { - for (uint8_t j = 0; j < i; j++) - { - P[i][j] = 0.5f * (P[i][j] + P[j][i]); - P[j][i] = P[i][j]; - } - } -} - -bool AttPosEKF::FilterHealthy() -{ - if (!statesInitialised) { - return false; - } - - // XXX Check state vector for NaNs and ill-conditioning - - // Check if any of the major inputs timed out - if (current_ekf_state.posTimeout || current_ekf_state.velTimeout || current_ekf_state.hgtTimeout) { - return false; - } - - // Nothing fired, return ok. - return true; -} - -/** - * Reset the filter position states - * - * This resets the position to the last GPS measurement - * or to zero in case of static position. - */ -void AttPosEKF::ResetPosition(void) -{ - if (staticMode) { - states[7] = 0; - states[8] = 0; - } else if (GPSstatus >= GPS_FIX_3D) { - - // reset the states from the GPS measurements - states[7] = posNE[0]; - states[8] = posNE[1]; - } -} - -/** - * Reset the height state. - * - * This resets the height state with the last altitude measurements - */ -void AttPosEKF::ResetHeight(void) -{ - // write to the state vector - states[9] = -hgtMea; -} - -/** - * Reset the velocity state. - */ -void AttPosEKF::ResetVelocity(void) -{ - if (staticMode) { - states[4] = 0.0f; - states[5] = 0.0f; - states[6] = 0.0f; - } else if (GPSstatus >= GPS_FIX_3D) { - - states[4] = velNED[0]; // north velocity from last reading - states[5] = velNED[1]; // east velocity from last reading - states[6] = velNED[2]; // down velocity from last reading - } -} - - -void AttPosEKF::FillErrorReport(struct ekf_status_report *err) -{ - for (int i = 0; i < n_states; i++) - { - err->states[i] = states[i]; - } - - err->velHealth = current_ekf_state.velHealth; - err->posHealth = current_ekf_state.posHealth; - err->hgtHealth = current_ekf_state.hgtHealth; - err->velTimeout = current_ekf_state.velTimeout; - err->posTimeout = current_ekf_state.posTimeout; - err->hgtTimeout = current_ekf_state.hgtTimeout; -} - -bool AttPosEKF::StatesNaN(struct ekf_status_report *err_report) { - bool err = false; - - // check all states and covariance matrices - for (unsigned i = 0; i < n_states; i++) { - for (unsigned j = 0; j < n_states; j++) { - if (!isfinite(KH[i][j])) { - - err_report->covarianceNaN = true; - err = true; - } // intermediate result used for covariance updates - if (!isfinite(KHP[i][j])) { - - err_report->covarianceNaN = true; - err = true; - } // intermediate result used for covariance updates - if (!isfinite(P[i][j])) { - - err_report->covarianceNaN = true; - err = true; - } // covariance matrix - } - - if (!isfinite(Kfusion[i])) { - - err_report->kalmanGainsNaN = true; - err = true; - } // Kalman gains - - if (!isfinite(states[i])) { - - err_report->statesNaN = true; - err = true; - } // state matrix - } - - if (err) { - FillErrorReport(err_report); - } - - return err; - -} - -/** - * Check the filter inputs and bound its operational state - * - * This check will reset the filter states if required - * due to a failure of consistency or timeout checks. - * it should be run after the measurement data has been - * updated, but before any of the fusion steps are - * executed. - */ -int AttPosEKF::CheckAndBound() -{ - - // Store the old filter state - bool currStaticMode = staticMode; - - // Reset the filter if the states went NaN - if (StatesNaN(&last_ekf_error)) { - - InitializeDynamic(velNED, magDeclination); - - return 1; - } - - // Reset the filter if the IMU data is too old - if (dtIMU > 0.2f) { - - ResetVelocity(); - ResetPosition(); - ResetHeight(); - ResetStoredStates(); - - // that's all we can do here, return - return 2; - } - - // Check if we're on ground - this also sets static mode. - OnGroundCheck(); - - // Check if we switched between states - if (currStaticMode != staticMode) { - ResetVelocity(); - ResetPosition(); - ResetHeight(); - ResetStoredStates(); - - return 3; - } - - return 0; -} - -void AttPosEKF::AttitudeInit(float ax, float ay, float az, float mx, float my, float mz, float declination, float *initQuat) -{ - float initialRoll, initialPitch; - float cosRoll, sinRoll, cosPitch, sinPitch; - float magX, magY; - float initialHdg, cosHeading, sinHeading; - - initialRoll = atan2(-ay, -az); - initialPitch = atan2(ax, -az); - - cosRoll = cosf(initialRoll); - sinRoll = sinf(initialRoll); - cosPitch = cosf(initialPitch); - sinPitch = sinf(initialPitch); - - magX = mx * cosPitch + my * sinRoll * sinPitch + mz * cosRoll * sinPitch; - - magY = my * cosRoll - mz * sinRoll; - - initialHdg = atan2f(-magY, magX); - /* true heading is the mag heading minus declination */ - initialHdg += declination; - - cosRoll = cosf(initialRoll * 0.5f); - sinRoll = sinf(initialRoll * 0.5f); - - cosPitch = cosf(initialPitch * 0.5f); - sinPitch = sinf(initialPitch * 0.5f); - - cosHeading = cosf(initialHdg * 0.5f); - sinHeading = sinf(initialHdg * 0.5f); - - initQuat[0] = cosRoll * cosPitch * cosHeading + sinRoll * sinPitch * sinHeading; - initQuat[1] = sinRoll * cosPitch * cosHeading - cosRoll * sinPitch * sinHeading; - initQuat[2] = cosRoll * sinPitch * cosHeading + sinRoll * cosPitch * sinHeading; - initQuat[3] = cosRoll * cosPitch * sinHeading - sinRoll * sinPitch * cosHeading; -} - -void AttPosEKF::InitializeDynamic(float (&initvelNED)[3], float declination) -{ - - // Clear the init flag - statesInitialised = false; - - magDeclination = declination; - - ZeroVariables(); - - // Calculate initial filter quaternion states from raw measurements - float initQuat[4]; - Vector3f initMagXYZ; - initMagXYZ = magData - magBias; - AttitudeInit(accel.x, accel.y, accel.z, initMagXYZ.x, initMagXYZ.y, initMagXYZ.z, magDeclination, initQuat); - - // Calculate initial Tbn matrix and rotate Mag measurements into NED - // to set initial NED magnetic field states - Mat3f DCM; - quat2Tbn(DCM, initQuat); - Vector3f initMagNED; - initMagXYZ = magData - magBias; - initMagNED.x = DCM.x.x*initMagXYZ.x + DCM.x.y*initMagXYZ.y + DCM.x.z*initMagXYZ.z; - initMagNED.y = DCM.y.x*initMagXYZ.x + DCM.y.y*initMagXYZ.y + DCM.y.z*initMagXYZ.z; - initMagNED.z = DCM.z.x*initMagXYZ.x + DCM.z.y*initMagXYZ.y + DCM.z.z*initMagXYZ.z; - - - - // write to state vector - for (uint8_t j=0; j<=3; j++) states[j] = initQuat[j]; // quaternions - for (uint8_t j=0; j<=2; j++) states[j+4] = initvelNED[j]; // velocities - for (uint8_t j=0; j<=7; j++) states[j+7] = 0.0f; // positiions, dAngBias, windVel - states[15] = initMagNED.x; // Magnetic Field North - states[16] = initMagNED.y; // Magnetic Field East - states[17] = initMagNED.z; // Magnetic Field Down - states[18] = magBias.x; // Magnetic Field Bias X - states[19] = magBias.y; // Magnetic Field Bias Y - states[20] = magBias.z; // Magnetic Field Bias Z - - statesInitialised = true; - - // initialise the covariance matrix - CovarianceInit(); - - //Define Earth rotation vector in the NED navigation frame - calcEarthRateNED(earthRateNED, latRef); - - //Initialise summed variables used by covariance prediction - summedDelAng.x = 0.0f; - summedDelAng.y = 0.0f; - summedDelAng.z = 0.0f; - summedDelVel.x = 0.0f; - summedDelVel.y = 0.0f; - summedDelVel.z = 0.0f; -} - -void AttPosEKF::InitialiseFilter(float (&initvelNED)[3], double referenceLat, double referenceLon, float referenceHgt, float declination) -{ - //store initial lat,long and height - latRef = referenceLat; - lonRef = referenceLon; - hgtRef = referenceHgt; - - memset(&last_ekf_error, 0, sizeof(last_ekf_error)); - - InitializeDynamic(initvelNED, declination); -} - -void AttPosEKF::ZeroVariables() -{ - // Do the data structure init - for (unsigned i = 0; i < n_states; i++) { - for (unsigned j = 0; j < n_states; j++) { - KH[i][j] = 0.0f; // intermediate result used for covariance updates - KHP[i][j] = 0.0f; // intermediate result used for covariance updates - P[i][j] = 0.0f; // covariance matrix - } - - Kfusion[i] = 0.0f; // Kalman gains - states[i] = 0.0f; // state matrix - } - - for (unsigned i = 0; i < data_buffer_size; i++) { - - for (unsigned j = 0; j < n_states; j++) { - storedStates[j][i] = 0.0f; - } - - statetimeStamp[i] = 0; - } - - memset(¤t_ekf_state, 0, sizeof(current_ekf_state)); -} - -void AttPosEKF::GetFilterState(struct ekf_status_report *state) -{ - memcpy(state, ¤t_ekf_state, sizeof(state)); -} - -void AttPosEKF::GetLastErrorState(struct ekf_status_report *last_error) -{ - memcpy(last_error, &last_ekf_error, sizeof(last_error)); -} diff --git a/src/modules/ekf_att_pos_estimator/estimator_21states.h b/src/modules/ekf_att_pos_estimator/estimator_21states.h deleted file mode 100644 index a19ff1995..000000000 --- a/src/modules/ekf_att_pos_estimator/estimator_21states.h +++ /dev/null @@ -1,247 +0,0 @@ -#pragma once - -#include "estimator_utilities.h" - -class AttPosEKF { - -public: - - AttPosEKF(); - ~AttPosEKF(); - - /* ############################################## - * - * M A I N F I L T E R P A R A M E T E R S - * - * ########################################### */ - - /* - * parameters are defined here and initialised in - * the InitialiseParameters() (which is just 20 lines down) - */ - - float covTimeStepMax; // maximum time allowed between covariance predictions - float covDelAngMax; // maximum delta angle between covariance predictions - float rngFinderPitch; // pitch angle of laser range finder in radians. Zero is aligned with the Z body axis. Positive is RH rotation about Y body axis. - - float yawVarScale; - float windVelSigma; - float dAngBiasSigma; - float dVelBiasSigma; - float magEarthSigma; - float magBodySigma; - float gndHgtSigma; - - float vneSigma; - float vdSigma; - float posNeSigma; - float posDSigma; - float magMeasurementSigma; - float airspeedMeasurementSigma; - - float gyroProcessNoise; - float accelProcessNoise; - - float EAS2TAS; // ratio f true to equivalent airspeed - - void InitialiseParameters() - { - covTimeStepMax = 0.07f; // maximum time allowed between covariance predictions - covDelAngMax = 0.02f; // maximum delta angle between covariance predictions - rngFinderPitch = 0.0f; // pitch angle of laser range finder in radians. Zero is aligned with the Z body axis. Positive is RH rotation about Y body axis. - EAS2TAS = 1.0f; - - yawVarScale = 1.0f; - windVelSigma = 0.1f; - dAngBiasSigma = 5.0e-7f; - dVelBiasSigma = 1e-4f; - magEarthSigma = 3.0e-4f; - magBodySigma = 3.0e-4f; - gndHgtSigma = 0.02f; // assume 2% terrain gradient 1-sigma - - vneSigma = 0.2f; - vdSigma = 0.3f; - posNeSigma = 2.0f; - posDSigma = 2.0f; - - magMeasurementSigma = 0.05; - airspeedMeasurementSigma = 1.4f; - gyroProcessNoise = 1.4544411e-2f; - accelProcessNoise = 0.5f; - } - - // Global variables - float KH[n_states][n_states]; // intermediate result used for covariance updates - float KHP[n_states][n_states]; // intermediate result used for covariance updates - float P[n_states][n_states]; // covariance matrix - float Kfusion[n_states]; // Kalman gains - float states[n_states]; // state matrix - float storedStates[n_states][data_buffer_size]; // state vectors stored for the last 50 time steps - uint32_t statetimeStamp[data_buffer_size]; // time stamp for each state vector stored - - float statesAtVelTime[n_states]; // States at the effective measurement time for posNE and velNED measurements - float statesAtPosTime[n_states]; // States at the effective measurement time for posNE and velNED measurements - float statesAtHgtTime[n_states]; // States at the effective measurement time for the hgtMea measurement - float statesAtMagMeasTime[n_states]; // filter satates at the effective measurement time - float statesAtVtasMeasTime[n_states]; // filter states at the effective measurement time - - Vector3f correctedDelAng; // delta angles about the xyz body axes corrected for errors (rad) - Vector3f correctedDelVel; // delta velocities along the XYZ body axes corrected for errors (m/s) - Vector3f summedDelAng; // summed delta angles about the xyz body axes corrected for errors (rad) - Vector3f summedDelVel; // summed delta velocities along the XYZ body axes corrected for errors (m/s) - float accNavMag; // magnitude of navigation accel (- used to adjust GPS obs variance (m/s^2) - Vector3f earthRateNED; // earths angular rate vector in NED (rad/s) - Vector3f angRate; // angular rate vector in XYZ body axes measured by the IMU (rad/s) - Vector3f accel; // acceleration vector in XYZ body axes measured by the IMU (m/s^2) - Vector3f dVelIMU; - Vector3f dAngIMU; - float dtIMU; // time lapsed since the last IMU measurement or covariance update (sec) - uint8_t fusionModeGPS; // 0 = GPS outputs 3D velocity, 1 = GPS outputs 2D velocity, 2 = GPS outputs no velocity - float innovVelPos[6]; // innovation output - float varInnovVelPos[6]; // innovation variance output - - float velNED[3]; // North, East, Down velocity obs (m/s) - float posNE[2]; // North, East position obs (m) - float hgtMea; // measured height (m) - float posNED[3]; // North, East Down position (m) - - float innovMag[3]; // innovation output - float varInnovMag[3]; // innovation variance output - Vector3f magData; // magnetometer flux radings in X,Y,Z body axes - float innovVtas; // innovation output - float varInnovVtas; // innovation variance output - float VtasMeas; // true airspeed measurement (m/s) - float magDeclination; - float latRef; // WGS-84 latitude of reference point (rad) - float lonRef; // WGS-84 longitude of reference point (rad) - float hgtRef; // WGS-84 height of reference point (m) - Vector3f magBias; // states representing magnetometer bias vector in XYZ body axes - uint8_t covSkipCount; // Number of state prediction frames (IMU daya updates to skip before doing the covariance prediction - - // GPS input data variables - float gpsCourse; - float gpsVelD; - float gpsLat; - float gpsLon; - float gpsHgt; - uint8_t GPSstatus; - - // Baro input - float baroHgt; - - bool statesInitialised; - - bool fuseVelData; // this boolean causes the posNE and velNED obs to be fused - bool fusePosData; // this boolean causes the posNE and velNED obs to be fused - bool fuseHgtData; // this boolean causes the hgtMea obs to be fused - bool fuseMagData; // boolean true when magnetometer data is to be fused - bool fuseVtasData; // boolean true when airspeed data is to be fused - - bool onGround; ///< boolean true when the flight vehicle is on the ground (not flying) - bool staticMode; ///< boolean true if no position feedback is fused - bool useAirspeed; ///< boolean true if airspeed data is being used - bool useCompass; ///< boolean true if magnetometer data is being used - - struct ekf_status_report current_ekf_state; - struct ekf_status_report last_ekf_error; - - bool numericalProtection; - - unsigned storeIndex; - - -void UpdateStrapdownEquationsNED(); - -void CovariancePrediction(float dt); - -void FuseVelposNED(); - -void FuseMagnetometer(); - -void FuseAirspeed(); - -void zeroRows(float (&covMat)[n_states][n_states], uint8_t first, uint8_t last); - -void zeroCols(float (&covMat)[n_states][n_states], uint8_t first, uint8_t last); - -void quatNorm(float (&quatOut)[4], const float quatIn[4]); - -// store staes along with system time stamp in msces -void StoreStates(uint64_t timestamp_ms); - -/** - * Recall the state vector. - * - * Recalls the vector stored at closest time to the one specified by msec - * - * @return zero on success, integer indicating the number of invalid states on failure. - * Does only copy valid states, if the statesForFusion vector was initialized - * correctly by the caller, the result can be safely used, but is a mixture - * time-wise where valid states were updated and invalid remained at the old - * value. - */ -int RecallStates(float statesForFusion[n_states], uint64_t msec); - -void ResetStoredStates(); - -void quat2Tbn(Mat3f &Tbn, const float (&quat)[4]); - -void calcEarthRateNED(Vector3f &omega, float latitude); - -static void eul2quat(float (&quat)[4], const float (&eul)[3]); - -static void quat2eul(float (&eul)[3], const float (&quat)[4]); - -static void calcvelNED(float (&velNED)[3], float gpsCourse, float gpsGndSpd, float gpsVelD); - -static void calcposNED(float (&posNED)[3], float lat, float lon, float hgt, float latRef, float lonRef, float hgtRef); - -static void calcLLH(float (&posNED)[3], float lat, float lon, float hgt, float latRef, float lonRef, float hgtRef); - -static void quat2Tnb(Mat3f &Tnb, const float (&quat)[4]); - -static float sq(float valIn); - -void OnGroundCheck(); - -void CovarianceInit(); - -void InitialiseFilter(float (&initvelNED)[3], double referenceLat, double referenceLon, float referenceHgt, float declination); - -float ConstrainFloat(float val, float min, float max); - -void ConstrainVariances(); - -void ConstrainStates(); - -void ForceSymmetry(); - -int CheckAndBound(); - -void ResetPosition(); - -void ResetVelocity(); - -void ZeroVariables(); - -void GetFilterState(struct ekf_status_report *state); - -void GetLastErrorState(struct ekf_status_report *last_error); - -bool StatesNaN(struct ekf_status_report *err_report); -void FillErrorReport(struct ekf_status_report *err); - -void InitializeDynamic(float (&initvelNED)[3], float declination); - -protected: - -bool FilterHealthy(); - -void ResetHeight(void); - -void AttitudeInit(float ax, float ay, float az, float mx, float my, float mz, float declination, float *initQuat); - -}; - -uint32_t millis(); - diff --git a/src/modules/ekf_att_pos_estimator/estimator_23states.cpp b/src/modules/ekf_att_pos_estimator/estimator_22states.cpp index c17e034ad..15d018ab6 100644 --- a/src/modules/ekf_att_pos_estimator/estimator_23states.cpp +++ b/src/modules/ekf_att_pos_estimator/estimator_22states.cpp @@ -1,4 +1,4 @@ -#include "estimator_23states.h" +#include "estimator_22states.h" #include <string.h> #include <stdio.h> #include <stdarg.h> @@ -14,9 +14,6 @@ AttPosEKF::AttPosEKF() : covTimeStepMax(0.0f), covDelAngMax(0.0f), rngFinderPitch(0.0f), - a1(0.0f), - a2(0.0f), - a3(0.0f), yawVarScale(0.0f), windVelSigma(0.0f), dAngBiasSigma(0.0f), @@ -71,10 +68,6 @@ AttPosEKF::AttPosEKF() : dtVelPosFilt(0.01f), dtHgtFilt(0.01f), dtGpsFilt(0.1f), - windSpdFiltNorth(0.0f), - windSpdFiltEast(0.0f), - windSpdFiltAltitude(0.0f), - windSpdFiltClimb(0.0f), fusionModeGPS(0), innovVelPos{}, varInnovVelPos{}, @@ -87,7 +80,6 @@ AttPosEKF::AttPosEKF() : innovMag{}, varInnovMag{}, magData{}, - losData{}, innovVtas(0.0f), innovRng(0.0f), innovOptFlow{}, @@ -102,6 +94,8 @@ AttPosEKF::AttPosEKF() : refSet(false), magBias(), covSkipCount(0), + lastFixTime_ms(0), + globalTimeStamp_ms(0), gpsLat(0.0), gpsLon(-M_PI), gpsHgt(0.0f), @@ -123,6 +117,7 @@ AttPosEKF::AttPosEKF() : onGround(true), staticMode(true), + useGPS(false), useAirspeed(true), useCompass(true), useRangeFinder(true), @@ -133,7 +128,7 @@ AttPosEKF::AttPosEKF() : current_ekf_state{}, last_ekf_error{}, numericalProtection(true), - storeIndex(0), + storeIndex(0), storedOmega{}, Popt{}, flowStates{}, @@ -152,6 +147,7 @@ AttPosEKF::AttPosEKF() : minFlowRng(0.0f), moCompR_LOS(0.0f) { + memset(&last_ekf_error, 0, sizeof(last_ekf_error)); memset(¤t_ekf_state, 0, sizeof(current_ekf_state)); ZeroVariables(); @@ -185,9 +181,12 @@ void AttPosEKF::UpdateStrapdownEquationsNED() correctedDelAng.x = dAngIMU.x - states[10]; correctedDelAng.y = dAngIMU.y - states[11]; correctedDelAng.z = dAngIMU.z - states[12]; - dVelIMU.x = dVelIMU.x; - dVelIMU.y = dVelIMU.y; - dVelIMU.z = dVelIMU.z - states[13]; + + Vector3f dVelIMURel; + + dVelIMURel.x = dVelIMU.x; + dVelIMURel.y = dVelIMU.y; + dVelIMURel.z = dVelIMU.z - states[13]; delAngTotal.x += correctedDelAng.x; delAngTotal.y += correctedDelAng.y; @@ -267,9 +266,9 @@ void AttPosEKF::UpdateStrapdownEquationsNED() // transform body delta velocities to delta velocities in the nav frame // * and + operators have been overloaded //delVelNav = Tbn*dVelIMU + gravityNED*dtIMU; - delVelNav.x = Tbn.x.x*dVelIMU.x + Tbn.x.y*dVelIMU.y + Tbn.x.z*dVelIMU.z + gravityNED.x*dtIMU; - delVelNav.y = Tbn.y.x*dVelIMU.x + Tbn.y.y*dVelIMU.y + Tbn.y.z*dVelIMU.z + gravityNED.y*dtIMU; - delVelNav.z = Tbn.z.x*dVelIMU.x + Tbn.z.y*dVelIMU.y + Tbn.z.z*dVelIMU.z + gravityNED.z*dtIMU; + delVelNav.x = Tbn.x.x*dVelIMURel.x + Tbn.x.y*dVelIMURel.y + Tbn.x.z*dVelIMURel.z + gravityNED.x*dtIMU; + delVelNav.y = Tbn.y.x*dVelIMURel.x + Tbn.y.y*dVelIMURel.y + Tbn.y.z*dVelIMURel.z + gravityNED.y*dtIMU; + delVelNav.z = Tbn.z.x*dVelIMURel.x + Tbn.z.y*dVelIMURel.y + Tbn.z.z*dVelIMURel.z + gravityNED.z*dtIMU; // calculate the magnitude of the nav acceleration (required for GPS // variance estimation) @@ -344,14 +343,9 @@ void AttPosEKF::CovariancePrediction(float dt) } if (!inhibitMagStates) { for (uint8_t i=16; i<=18; i++) processNoise[i] = dt * magEarthSigma; - for (uint8_t i=19; i<=21; i++) processNoise[i] = dt * magBodySigma; - } else { - for (uint8_t i=16; i<=21; i++) processNoise[i] = 0; - } - if (!inhibitGndState) { - processNoise[22] = dt * sqrtf(sq(states[4]) + sq(states[5])) * gndHgtSigma; + for (uint8_t i=19; i < n_states; i++) processNoise[i] = dt * magBodySigma; } else { - processNoise[22] = 0; + for (uint8_t i=16; i < n_states; i++) processNoise[i] = 0; } // square all sigmas @@ -451,7 +445,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[0][19] = P[0][19] + P[1][19]*SF[7] + P[2][19]*SF[9] + P[3][19]*SF[8] + P[10][19]*SF[11] + P[11][19]*SPP[7] + P[12][19]*SPP[6]; nextP[0][20] = P[0][20] + P[1][20]*SF[7] + P[2][20]*SF[9] + P[3][20]*SF[8] + P[10][20]*SF[11] + P[11][20]*SPP[7] + P[12][20]*SPP[6]; nextP[0][21] = P[0][21] + P[1][21]*SF[7] + P[2][21]*SF[9] + P[3][21]*SF[8] + P[10][21]*SF[11] + P[11][21]*SPP[7] + P[12][21]*SPP[6]; - nextP[0][22] = P[0][22] + P[1][22]*SF[7] + P[2][22]*SF[9] + P[3][22]*SF[8] + P[10][22]*SF[11] + P[11][22]*SPP[7] + P[12][22]*SPP[6]; nextP[1][0] = P[1][0] + SQ[8] + P[0][0]*SF[6] + P[2][0]*SF[5] + P[3][0]*SF[9] + P[11][0]*SPP[6] - P[12][0]*SPP[7] - (P[10][0]*q0)/2 + SF[7]*(P[1][1] + P[0][1]*SF[6] + P[2][1]*SF[5] + P[3][1]*SF[9] + P[11][1]*SPP[6] - P[12][1]*SPP[7] - (P[10][1]*q0)/2) + SF[9]*(P[1][2] + P[0][2]*SF[6] + P[2][2]*SF[5] + P[3][2]*SF[9] + P[11][2]*SPP[6] - P[12][2]*SPP[7] - (P[10][2]*q0)/2) + SF[8]*(P[1][3] + P[0][3]*SF[6] + P[2][3]*SF[5] + P[3][3]*SF[9] + P[11][3]*SPP[6] - P[12][3]*SPP[7] - (P[10][3]*q0)/2) + SF[11]*(P[1][10] + P[0][10]*SF[6] + P[2][10]*SF[5] + P[3][10]*SF[9] + P[11][10]*SPP[6] - P[12][10]*SPP[7] - (P[10][10]*q0)/2) + SPP[7]*(P[1][11] + P[0][11]*SF[6] + P[2][11]*SF[5] + P[3][11]*SF[9] + P[11][11]*SPP[6] - P[12][11]*SPP[7] - (P[10][11]*q0)/2) + SPP[6]*(P[1][12] + P[0][12]*SF[6] + P[2][12]*SF[5] + P[3][12]*SF[9] + P[11][12]*SPP[6] - P[12][12]*SPP[7] - (P[10][12]*q0)/2); nextP[1][1] = P[1][1] + P[0][1]*SF[6] + P[2][1]*SF[5] + P[3][1]*SF[9] + P[11][1]*SPP[6] - P[12][1]*SPP[7] + daxCov*SQ[9] - (P[10][1]*q0)/2 + SF[6]*(P[1][0] + P[0][0]*SF[6] + P[2][0]*SF[5] + P[3][0]*SF[9] + P[11][0]*SPP[6] - P[12][0]*SPP[7] - (P[10][0]*q0)/2) + SF[5]*(P[1][2] + P[0][2]*SF[6] + P[2][2]*SF[5] + P[3][2]*SF[9] + P[11][2]*SPP[6] - P[12][2]*SPP[7] - (P[10][2]*q0)/2) + SF[9]*(P[1][3] + P[0][3]*SF[6] + P[2][3]*SF[5] + P[3][3]*SF[9] + P[11][3]*SPP[6] - P[12][3]*SPP[7] - (P[10][3]*q0)/2) + SPP[6]*(P[1][11] + P[0][11]*SF[6] + P[2][11]*SF[5] + P[3][11]*SF[9] + P[11][11]*SPP[6] - P[12][11]*SPP[7] - (P[10][11]*q0)/2) - SPP[7]*(P[1][12] + P[0][12]*SF[6] + P[2][12]*SF[5] + P[3][12]*SF[9] + P[11][12]*SPP[6] - P[12][12]*SPP[7] - (P[10][12]*q0)/2) + (dayCov*sq(q3))/4 + (dazCov*sq(q2))/4 - (q0*(P[1][10] + P[0][10]*SF[6] + P[2][10]*SF[5] + P[3][10]*SF[9] + P[11][10]*SPP[6] - P[12][10]*SPP[7] - (P[10][10]*q0)/2))/2; nextP[1][2] = P[1][2] + SQ[5] + P[0][2]*SF[6] + P[2][2]*SF[5] + P[3][2]*SF[9] + P[11][2]*SPP[6] - P[12][2]*SPP[7] - (P[10][2]*q0)/2 + SF[4]*(P[1][0] + P[0][0]*SF[6] + P[2][0]*SF[5] + P[3][0]*SF[9] + P[11][0]*SPP[6] - P[12][0]*SPP[7] - (P[10][0]*q0)/2) + SF[8]*(P[1][1] + P[0][1]*SF[6] + P[2][1]*SF[5] + P[3][1]*SF[9] + P[11][1]*SPP[6] - P[12][1]*SPP[7] - (P[10][1]*q0)/2) + SF[6]*(P[1][3] + P[0][3]*SF[6] + P[2][3]*SF[5] + P[3][3]*SF[9] + P[11][3]*SPP[6] - P[12][3]*SPP[7] - (P[10][3]*q0)/2) + SF[11]*(P[1][12] + P[0][12]*SF[6] + P[2][12]*SF[5] + P[3][12]*SF[9] + P[11][12]*SPP[6] - P[12][12]*SPP[7] - (P[10][12]*q0)/2) - SPP[6]*(P[1][10] + P[0][10]*SF[6] + P[2][10]*SF[5] + P[3][10]*SF[9] + P[11][10]*SPP[6] - P[12][10]*SPP[7] - (P[10][10]*q0)/2) - (q0*(P[1][11] + P[0][11]*SF[6] + P[2][11]*SF[5] + P[3][11]*SF[9] + P[11][11]*SPP[6] - P[12][11]*SPP[7] - (P[10][11]*q0)/2))/2; @@ -474,7 +467,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[1][19] = P[1][19] + P[0][19]*SF[6] + P[2][19]*SF[5] + P[3][19]*SF[9] + P[11][19]*SPP[6] - P[12][19]*SPP[7] - (P[10][19]*q0)/2; nextP[1][20] = P[1][20] + P[0][20]*SF[6] + P[2][20]*SF[5] + P[3][20]*SF[9] + P[11][20]*SPP[6] - P[12][20]*SPP[7] - (P[10][20]*q0)/2; nextP[1][21] = P[1][21] + P[0][21]*SF[6] + P[2][21]*SF[5] + P[3][21]*SF[9] + P[11][21]*SPP[6] - P[12][21]*SPP[7] - (P[10][21]*q0)/2; - nextP[1][22] = P[1][22] + P[0][22]*SF[6] + P[2][22]*SF[5] + P[3][22]*SF[9] + P[11][22]*SPP[6] - P[12][22]*SPP[7] - (P[10][22]*q0)/2; nextP[2][0] = P[2][0] + SQ[7] + P[0][0]*SF[4] + P[1][0]*SF[8] + P[3][0]*SF[6] + P[12][0]*SF[11] - P[10][0]*SPP[6] - (P[11][0]*q0)/2 + SF[7]*(P[2][1] + P[0][1]*SF[4] + P[1][1]*SF[8] + P[3][1]*SF[6] + P[12][1]*SF[11] - P[10][1]*SPP[6] - (P[11][1]*q0)/2) + SF[9]*(P[2][2] + P[0][2]*SF[4] + P[1][2]*SF[8] + P[3][2]*SF[6] + P[12][2]*SF[11] - P[10][2]*SPP[6] - (P[11][2]*q0)/2) + SF[8]*(P[2][3] + P[0][3]*SF[4] + P[1][3]*SF[8] + P[3][3]*SF[6] + P[12][3]*SF[11] - P[10][3]*SPP[6] - (P[11][3]*q0)/2) + SF[11]*(P[2][10] + P[0][10]*SF[4] + P[1][10]*SF[8] + P[3][10]*SF[6] + P[12][10]*SF[11] - P[10][10]*SPP[6] - (P[11][10]*q0)/2) + SPP[7]*(P[2][11] + P[0][11]*SF[4] + P[1][11]*SF[8] + P[3][11]*SF[6] + P[12][11]*SF[11] - P[10][11]*SPP[6] - (P[11][11]*q0)/2) + SPP[6]*(P[2][12] + P[0][12]*SF[4] + P[1][12]*SF[8] + P[3][12]*SF[6] + P[12][12]*SF[11] - P[10][12]*SPP[6] - (P[11][12]*q0)/2); nextP[2][1] = P[2][1] + SQ[5] + P[0][1]*SF[4] + P[1][1]*SF[8] + P[3][1]*SF[6] + P[12][1]*SF[11] - P[10][1]*SPP[6] - (P[11][1]*q0)/2 + SF[6]*(P[2][0] + P[0][0]*SF[4] + P[1][0]*SF[8] + P[3][0]*SF[6] + P[12][0]*SF[11] - P[10][0]*SPP[6] - (P[11][0]*q0)/2) + SF[5]*(P[2][2] + P[0][2]*SF[4] + P[1][2]*SF[8] + P[3][2]*SF[6] + P[12][2]*SF[11] - P[10][2]*SPP[6] - (P[11][2]*q0)/2) + SF[9]*(P[2][3] + P[0][3]*SF[4] + P[1][3]*SF[8] + P[3][3]*SF[6] + P[12][3]*SF[11] - P[10][3]*SPP[6] - (P[11][3]*q0)/2) + SPP[6]*(P[2][11] + P[0][11]*SF[4] + P[1][11]*SF[8] + P[3][11]*SF[6] + P[12][11]*SF[11] - P[10][11]*SPP[6] - (P[11][11]*q0)/2) - SPP[7]*(P[2][12] + P[0][12]*SF[4] + P[1][12]*SF[8] + P[3][12]*SF[6] + P[12][12]*SF[11] - P[10][12]*SPP[6] - (P[11][12]*q0)/2) - (q0*(P[2][10] + P[0][10]*SF[4] + P[1][10]*SF[8] + P[3][10]*SF[6] + P[12][10]*SF[11] - P[10][10]*SPP[6] - (P[11][10]*q0)/2))/2; nextP[2][2] = P[2][2] + P[0][2]*SF[4] + P[1][2]*SF[8] + P[3][2]*SF[6] + P[12][2]*SF[11] - P[10][2]*SPP[6] + dayCov*SQ[9] + (dazCov*SQ[10])/4 - (P[11][2]*q0)/2 + SF[4]*(P[2][0] + P[0][0]*SF[4] + P[1][0]*SF[8] + P[3][0]*SF[6] + P[12][0]*SF[11] - P[10][0]*SPP[6] - (P[11][0]*q0)/2) + SF[8]*(P[2][1] + P[0][1]*SF[4] + P[1][1]*SF[8] + P[3][1]*SF[6] + P[12][1]*SF[11] - P[10][1]*SPP[6] - (P[11][1]*q0)/2) + SF[6]*(P[2][3] + P[0][3]*SF[4] + P[1][3]*SF[8] + P[3][3]*SF[6] + P[12][3]*SF[11] - P[10][3]*SPP[6] - (P[11][3]*q0)/2) + SF[11]*(P[2][12] + P[0][12]*SF[4] + P[1][12]*SF[8] + P[3][12]*SF[6] + P[12][12]*SF[11] - P[10][12]*SPP[6] - (P[11][12]*q0)/2) - SPP[6]*(P[2][10] + P[0][10]*SF[4] + P[1][10]*SF[8] + P[3][10]*SF[6] + P[12][10]*SF[11] - P[10][10]*SPP[6] - (P[11][10]*q0)/2) + (daxCov*sq(q3))/4 - (q0*(P[2][11] + P[0][11]*SF[4] + P[1][11]*SF[8] + P[3][11]*SF[6] + P[12][11]*SF[11] - P[10][11]*SPP[6] - (P[11][11]*q0)/2))/2; @@ -497,7 +489,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[2][19] = P[2][19] + P[0][19]*SF[4] + P[1][19]*SF[8] + P[3][19]*SF[6] + P[12][19]*SF[11] - P[10][19]*SPP[6] - (P[11][19]*q0)/2; nextP[2][20] = P[2][20] + P[0][20]*SF[4] + P[1][20]*SF[8] + P[3][20]*SF[6] + P[12][20]*SF[11] - P[10][20]*SPP[6] - (P[11][20]*q0)/2; nextP[2][21] = P[2][21] + P[0][21]*SF[4] + P[1][21]*SF[8] + P[3][21]*SF[6] + P[12][21]*SF[11] - P[10][21]*SPP[6] - (P[11][21]*q0)/2; - nextP[2][22] = P[2][22] + P[0][22]*SF[4] + P[1][22]*SF[8] + P[3][22]*SF[6] + P[12][22]*SF[11] - P[10][22]*SPP[6] - (P[11][22]*q0)/2; nextP[3][0] = P[3][0] + SQ[6] + P[0][0]*SF[5] + P[1][0]*SF[4] + P[2][0]*SF[7] - P[11][0]*SF[11] + P[10][0]*SPP[7] - (P[12][0]*q0)/2 + SF[7]*(P[3][1] + P[0][1]*SF[5] + P[1][1]*SF[4] + P[2][1]*SF[7] - P[11][1]*SF[11] + P[10][1]*SPP[7] - (P[12][1]*q0)/2) + SF[9]*(P[3][2] + P[0][2]*SF[5] + P[1][2]*SF[4] + P[2][2]*SF[7] - P[11][2]*SF[11] + P[10][2]*SPP[7] - (P[12][2]*q0)/2) + SF[8]*(P[3][3] + P[0][3]*SF[5] + P[1][3]*SF[4] + P[2][3]*SF[7] - P[11][3]*SF[11] + P[10][3]*SPP[7] - (P[12][3]*q0)/2) + SF[11]*(P[3][10] + P[0][10]*SF[5] + P[1][10]*SF[4] + P[2][10]*SF[7] - P[11][10]*SF[11] + P[10][10]*SPP[7] - (P[12][10]*q0)/2) + SPP[7]*(P[3][11] + P[0][11]*SF[5] + P[1][11]*SF[4] + P[2][11]*SF[7] - P[11][11]*SF[11] + P[10][11]*SPP[7] - (P[12][11]*q0)/2) + SPP[6]*(P[3][12] + P[0][12]*SF[5] + P[1][12]*SF[4] + P[2][12]*SF[7] - P[11][12]*SF[11] + P[10][12]*SPP[7] - (P[12][12]*q0)/2); nextP[3][1] = P[3][1] + SQ[4] + P[0][1]*SF[5] + P[1][1]*SF[4] + P[2][1]*SF[7] - P[11][1]*SF[11] + P[10][1]*SPP[7] - (P[12][1]*q0)/2 + SF[6]*(P[3][0] + P[0][0]*SF[5] + P[1][0]*SF[4] + P[2][0]*SF[7] - P[11][0]*SF[11] + P[10][0]*SPP[7] - (P[12][0]*q0)/2) + SF[5]*(P[3][2] + P[0][2]*SF[5] + P[1][2]*SF[4] + P[2][2]*SF[7] - P[11][2]*SF[11] + P[10][2]*SPP[7] - (P[12][2]*q0)/2) + SF[9]*(P[3][3] + P[0][3]*SF[5] + P[1][3]*SF[4] + P[2][3]*SF[7] - P[11][3]*SF[11] + P[10][3]*SPP[7] - (P[12][3]*q0)/2) + SPP[6]*(P[3][11] + P[0][11]*SF[5] + P[1][11]*SF[4] + P[2][11]*SF[7] - P[11][11]*SF[11] + P[10][11]*SPP[7] - (P[12][11]*q0)/2) - SPP[7]*(P[3][12] + P[0][12]*SF[5] + P[1][12]*SF[4] + P[2][12]*SF[7] - P[11][12]*SF[11] + P[10][12]*SPP[7] - (P[12][12]*q0)/2) - (q0*(P[3][10] + P[0][10]*SF[5] + P[1][10]*SF[4] + P[2][10]*SF[7] - P[11][10]*SF[11] + P[10][10]*SPP[7] - (P[12][10]*q0)/2))/2; nextP[3][2] = P[3][2] + SQ[3] + P[0][2]*SF[5] + P[1][2]*SF[4] + P[2][2]*SF[7] - P[11][2]*SF[11] + P[10][2]*SPP[7] - (P[12][2]*q0)/2 + SF[4]*(P[3][0] + P[0][0]*SF[5] + P[1][0]*SF[4] + P[2][0]*SF[7] - P[11][0]*SF[11] + P[10][0]*SPP[7] - (P[12][0]*q0)/2) + SF[8]*(P[3][1] + P[0][1]*SF[5] + P[1][1]*SF[4] + P[2][1]*SF[7] - P[11][1]*SF[11] + P[10][1]*SPP[7] - (P[12][1]*q0)/2) + SF[6]*(P[3][3] + P[0][3]*SF[5] + P[1][3]*SF[4] + P[2][3]*SF[7] - P[11][3]*SF[11] + P[10][3]*SPP[7] - (P[12][3]*q0)/2) + SF[11]*(P[3][12] + P[0][12]*SF[5] + P[1][12]*SF[4] + P[2][12]*SF[7] - P[11][12]*SF[11] + P[10][12]*SPP[7] - (P[12][12]*q0)/2) - SPP[6]*(P[3][10] + P[0][10]*SF[5] + P[1][10]*SF[4] + P[2][10]*SF[7] - P[11][10]*SF[11] + P[10][10]*SPP[7] - (P[12][10]*q0)/2) - (q0*(P[3][11] + P[0][11]*SF[5] + P[1][11]*SF[4] + P[2][11]*SF[7] - P[11][11]*SF[11] + P[10][11]*SPP[7] - (P[12][11]*q0)/2))/2; @@ -520,7 +511,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[3][19] = P[3][19] + P[0][19]*SF[5] + P[1][19]*SF[4] + P[2][19]*SF[7] - P[11][19]*SF[11] + P[10][19]*SPP[7] - (P[12][19]*q0)/2; nextP[3][20] = P[3][20] + P[0][20]*SF[5] + P[1][20]*SF[4] + P[2][20]*SF[7] - P[11][20]*SF[11] + P[10][20]*SPP[7] - (P[12][20]*q0)/2; nextP[3][21] = P[3][21] + P[0][21]*SF[5] + P[1][21]*SF[4] + P[2][21]*SF[7] - P[11][21]*SF[11] + P[10][21]*SPP[7] - (P[12][21]*q0)/2; - nextP[3][22] = P[3][22] + P[0][22]*SF[5] + P[1][22]*SF[4] + P[2][22]*SF[7] - P[11][22]*SF[11] + P[10][22]*SPP[7] - (P[12][22]*q0)/2; nextP[4][0] = P[4][0] + P[0][0]*SF[3] + P[1][0]*SF[1] + P[2][0]*SPP[0] - P[3][0]*SPP[2] - P[13][0]*SPP[4] + SF[7]*(P[4][1] + P[0][1]*SF[3] + P[1][1]*SF[1] + P[2][1]*SPP[0] - P[3][1]*SPP[2] - P[13][1]*SPP[4]) + SF[9]*(P[4][2] + P[0][2]*SF[3] + P[1][2]*SF[1] + P[2][2]*SPP[0] - P[3][2]*SPP[2] - P[13][2]*SPP[4]) + SF[8]*(P[4][3] + P[0][3]*SF[3] + P[1][3]*SF[1] + P[2][3]*SPP[0] - P[3][3]*SPP[2] - P[13][3]*SPP[4]) + SF[11]*(P[4][10] + P[0][10]*SF[3] + P[1][10]*SF[1] + P[2][10]*SPP[0] - P[3][10]*SPP[2] - P[13][10]*SPP[4]) + SPP[7]*(P[4][11] + P[0][11]*SF[3] + P[1][11]*SF[1] + P[2][11]*SPP[0] - P[3][11]*SPP[2] - P[13][11]*SPP[4]) + SPP[6]*(P[4][12] + P[0][12]*SF[3] + P[1][12]*SF[1] + P[2][12]*SPP[0] - P[3][12]*SPP[2] - P[13][12]*SPP[4]); nextP[4][1] = P[4][1] + P[0][1]*SF[3] + P[1][1]*SF[1] + P[2][1]*SPP[0] - P[3][1]*SPP[2] - P[13][1]*SPP[4] + SF[6]*(P[4][0] + P[0][0]*SF[3] + P[1][0]*SF[1] + P[2][0]*SPP[0] - P[3][0]*SPP[2] - P[13][0]*SPP[4]) + SF[5]*(P[4][2] + P[0][2]*SF[3] + P[1][2]*SF[1] + P[2][2]*SPP[0] - P[3][2]*SPP[2] - P[13][2]*SPP[4]) + SF[9]*(P[4][3] + P[0][3]*SF[3] + P[1][3]*SF[1] + P[2][3]*SPP[0] - P[3][3]*SPP[2] - P[13][3]*SPP[4]) + SPP[6]*(P[4][11] + P[0][11]*SF[3] + P[1][11]*SF[1] + P[2][11]*SPP[0] - P[3][11]*SPP[2] - P[13][11]*SPP[4]) - SPP[7]*(P[4][12] + P[0][12]*SF[3] + P[1][12]*SF[1] + P[2][12]*SPP[0] - P[3][12]*SPP[2] - P[13][12]*SPP[4]) - (q0*(P[4][10] + P[0][10]*SF[3] + P[1][10]*SF[1] + P[2][10]*SPP[0] - P[3][10]*SPP[2] - P[13][10]*SPP[4]))/2; nextP[4][2] = P[4][2] + P[0][2]*SF[3] + P[1][2]*SF[1] + P[2][2]*SPP[0] - P[3][2]*SPP[2] - P[13][2]*SPP[4] + SF[4]*(P[4][0] + P[0][0]*SF[3] + P[1][0]*SF[1] + P[2][0]*SPP[0] - P[3][0]*SPP[2] - P[13][0]*SPP[4]) + SF[8]*(P[4][1] + P[0][1]*SF[3] + P[1][1]*SF[1] + P[2][1]*SPP[0] - P[3][1]*SPP[2] - P[13][1]*SPP[4]) + SF[6]*(P[4][3] + P[0][3]*SF[3] + P[1][3]*SF[1] + P[2][3]*SPP[0] - P[3][3]*SPP[2] - P[13][3]*SPP[4]) + SF[11]*(P[4][12] + P[0][12]*SF[3] + P[1][12]*SF[1] + P[2][12]*SPP[0] - P[3][12]*SPP[2] - P[13][12]*SPP[4]) - SPP[6]*(P[4][10] + P[0][10]*SF[3] + P[1][10]*SF[1] + P[2][10]*SPP[0] - P[3][10]*SPP[2] - P[13][10]*SPP[4]) - (q0*(P[4][11] + P[0][11]*SF[3] + P[1][11]*SF[1] + P[2][11]*SPP[0] - P[3][11]*SPP[2] - P[13][11]*SPP[4]))/2; @@ -543,7 +533,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[4][19] = P[4][19] + P[0][19]*SF[3] + P[1][19]*SF[1] + P[2][19]*SPP[0] - P[3][19]*SPP[2] - P[13][19]*SPP[4]; nextP[4][20] = P[4][20] + P[0][20]*SF[3] + P[1][20]*SF[1] + P[2][20]*SPP[0] - P[3][20]*SPP[2] - P[13][20]*SPP[4]; nextP[4][21] = P[4][21] + P[0][21]*SF[3] + P[1][21]*SF[1] + P[2][21]*SPP[0] - P[3][21]*SPP[2] - P[13][21]*SPP[4]; - nextP[4][22] = P[4][22] + P[0][22]*SF[3] + P[1][22]*SF[1] + P[2][22]*SPP[0] - P[3][22]*SPP[2] - P[13][22]*SPP[4]; nextP[5][0] = P[5][0] + P[0][0]*SF[2] + P[2][0]*SF[1] + P[3][0]*SF[3] - P[1][0]*SPP[0] + P[13][0]*SPP[3] + SF[7]*(P[5][1] + P[0][1]*SF[2] + P[2][1]*SF[1] + P[3][1]*SF[3] - P[1][1]*SPP[0] + P[13][1]*SPP[3]) + SF[9]*(P[5][2] + P[0][2]*SF[2] + P[2][2]*SF[1] + P[3][2]*SF[3] - P[1][2]*SPP[0] + P[13][2]*SPP[3]) + SF[8]*(P[5][3] + P[0][3]*SF[2] + P[2][3]*SF[1] + P[3][3]*SF[3] - P[1][3]*SPP[0] + P[13][3]*SPP[3]) + SF[11]*(P[5][10] + P[0][10]*SF[2] + P[2][10]*SF[1] + P[3][10]*SF[3] - P[1][10]*SPP[0] + P[13][10]*SPP[3]) + SPP[7]*(P[5][11] + P[0][11]*SF[2] + P[2][11]*SF[1] + P[3][11]*SF[3] - P[1][11]*SPP[0] + P[13][11]*SPP[3]) + SPP[6]*(P[5][12] + P[0][12]*SF[2] + P[2][12]*SF[1] + P[3][12]*SF[3] - P[1][12]*SPP[0] + P[13][12]*SPP[3]); nextP[5][1] = P[5][1] + P[0][1]*SF[2] + P[2][1]*SF[1] + P[3][1]*SF[3] - P[1][1]*SPP[0] + P[13][1]*SPP[3] + SF[6]*(P[5][0] + P[0][0]*SF[2] + P[2][0]*SF[1] + P[3][0]*SF[3] - P[1][0]*SPP[0] + P[13][0]*SPP[3]) + SF[5]*(P[5][2] + P[0][2]*SF[2] + P[2][2]*SF[1] + P[3][2]*SF[3] - P[1][2]*SPP[0] + P[13][2]*SPP[3]) + SF[9]*(P[5][3] + P[0][3]*SF[2] + P[2][3]*SF[1] + P[3][3]*SF[3] - P[1][3]*SPP[0] + P[13][3]*SPP[3]) + SPP[6]*(P[5][11] + P[0][11]*SF[2] + P[2][11]*SF[1] + P[3][11]*SF[3] - P[1][11]*SPP[0] + P[13][11]*SPP[3]) - SPP[7]*(P[5][12] + P[0][12]*SF[2] + P[2][12]*SF[1] + P[3][12]*SF[3] - P[1][12]*SPP[0] + P[13][12]*SPP[3]) - (q0*(P[5][10] + P[0][10]*SF[2] + P[2][10]*SF[1] + P[3][10]*SF[3] - P[1][10]*SPP[0] + P[13][10]*SPP[3]))/2; nextP[5][2] = P[5][2] + P[0][2]*SF[2] + P[2][2]*SF[1] + P[3][2]*SF[3] - P[1][2]*SPP[0] + P[13][2]*SPP[3] + SF[4]*(P[5][0] + P[0][0]*SF[2] + P[2][0]*SF[1] + P[3][0]*SF[3] - P[1][0]*SPP[0] + P[13][0]*SPP[3]) + SF[8]*(P[5][1] + P[0][1]*SF[2] + P[2][1]*SF[1] + P[3][1]*SF[3] - P[1][1]*SPP[0] + P[13][1]*SPP[3]) + SF[6]*(P[5][3] + P[0][3]*SF[2] + P[2][3]*SF[1] + P[3][3]*SF[3] - P[1][3]*SPP[0] + P[13][3]*SPP[3]) + SF[11]*(P[5][12] + P[0][12]*SF[2] + P[2][12]*SF[1] + P[3][12]*SF[3] - P[1][12]*SPP[0] + P[13][12]*SPP[3]) - SPP[6]*(P[5][10] + P[0][10]*SF[2] + P[2][10]*SF[1] + P[3][10]*SF[3] - P[1][10]*SPP[0] + P[13][10]*SPP[3]) - (q0*(P[5][11] + P[0][11]*SF[2] + P[2][11]*SF[1] + P[3][11]*SF[3] - P[1][11]*SPP[0] + P[13][11]*SPP[3]))/2; @@ -566,7 +555,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[5][19] = P[5][19] + P[0][19]*SF[2] + P[2][19]*SF[1] + P[3][19]*SF[3] - P[1][19]*SPP[0] + P[13][19]*SPP[3]; nextP[5][20] = P[5][20] + P[0][20]*SF[2] + P[2][20]*SF[1] + P[3][20]*SF[3] - P[1][20]*SPP[0] + P[13][20]*SPP[3]; nextP[5][21] = P[5][21] + P[0][21]*SF[2] + P[2][21]*SF[1] + P[3][21]*SF[3] - P[1][21]*SPP[0] + P[13][21]*SPP[3]; - nextP[5][22] = P[5][22] + P[0][22]*SF[2] + P[2][22]*SF[1] + P[3][22]*SF[3] - P[1][22]*SPP[0] + P[13][22]*SPP[3]; nextP[6][0] = P[6][0] + P[1][0]*SF[2] + P[3][0]*SF[1] + P[0][0]*SPP[0] - P[2][0]*SPP[1] - P[13][0]*(sq(q0) - sq(q1) - sq(q2) + sq(q3)) + SF[7]*(P[6][1] + P[1][1]*SF[2] + P[3][1]*SF[1] + P[0][1]*SPP[0] - P[2][1]*SPP[1] - P[13][1]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) + SF[9]*(P[6][2] + P[1][2]*SF[2] + P[3][2]*SF[1] + P[0][2]*SPP[0] - P[2][2]*SPP[1] - P[13][2]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) + SF[8]*(P[6][3] + P[1][3]*SF[2] + P[3][3]*SF[1] + P[0][3]*SPP[0] - P[2][3]*SPP[1] - P[13][3]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) + SF[11]*(P[6][10] + P[1][10]*SF[2] + P[3][10]*SF[1] + P[0][10]*SPP[0] - P[2][10]*SPP[1] - P[13][10]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) + SPP[7]*(P[6][11] + P[1][11]*SF[2] + P[3][11]*SF[1] + P[0][11]*SPP[0] - P[2][11]*SPP[1] - P[13][11]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) + SPP[6]*(P[6][12] + P[1][12]*SF[2] + P[3][12]*SF[1] + P[0][12]*SPP[0] - P[2][12]*SPP[1] - P[13][12]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))); nextP[6][1] = P[6][1] + P[1][1]*SF[2] + P[3][1]*SF[1] + P[0][1]*SPP[0] - P[2][1]*SPP[1] - P[13][1]*(sq(q0) - sq(q1) - sq(q2) + sq(q3)) + SF[6]*(P[6][0] + P[1][0]*SF[2] + P[3][0]*SF[1] + P[0][0]*SPP[0] - P[2][0]*SPP[1] - P[13][0]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) + SF[5]*(P[6][2] + P[1][2]*SF[2] + P[3][2]*SF[1] + P[0][2]*SPP[0] - P[2][2]*SPP[1] - P[13][2]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) + SF[9]*(P[6][3] + P[1][3]*SF[2] + P[3][3]*SF[1] + P[0][3]*SPP[0] - P[2][3]*SPP[1] - P[13][3]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) + SPP[6]*(P[6][11] + P[1][11]*SF[2] + P[3][11]*SF[1] + P[0][11]*SPP[0] - P[2][11]*SPP[1] - P[13][11]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) - SPP[7]*(P[6][12] + P[1][12]*SF[2] + P[3][12]*SF[1] + P[0][12]*SPP[0] - P[2][12]*SPP[1] - P[13][12]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) - (q0*(P[6][10] + P[1][10]*SF[2] + P[3][10]*SF[1] + P[0][10]*SPP[0] - P[2][10]*SPP[1] - P[13][10]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))))/2; nextP[6][2] = P[6][2] + P[1][2]*SF[2] + P[3][2]*SF[1] + P[0][2]*SPP[0] - P[2][2]*SPP[1] - P[13][2]*(sq(q0) - sq(q1) - sq(q2) + sq(q3)) + SF[4]*(P[6][0] + P[1][0]*SF[2] + P[3][0]*SF[1] + P[0][0]*SPP[0] - P[2][0]*SPP[1] - P[13][0]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) + SF[8]*(P[6][1] + P[1][1]*SF[2] + P[3][1]*SF[1] + P[0][1]*SPP[0] - P[2][1]*SPP[1] - P[13][1]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) + SF[6]*(P[6][3] + P[1][3]*SF[2] + P[3][3]*SF[1] + P[0][3]*SPP[0] - P[2][3]*SPP[1] - P[13][3]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) + SF[11]*(P[6][12] + P[1][12]*SF[2] + P[3][12]*SF[1] + P[0][12]*SPP[0] - P[2][12]*SPP[1] - P[13][12]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) - SPP[6]*(P[6][10] + P[1][10]*SF[2] + P[3][10]*SF[1] + P[0][10]*SPP[0] - P[2][10]*SPP[1] - P[13][10]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))) - (q0*(P[6][11] + P[1][11]*SF[2] + P[3][11]*SF[1] + P[0][11]*SPP[0] - P[2][11]*SPP[1] - P[13][11]*(sq(q0) - sq(q1) - sq(q2) + sq(q3))))/2; @@ -589,7 +577,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[6][19] = P[6][19] + P[1][19]*SF[2] + P[3][19]*SF[1] + P[0][19]*SPP[0] - P[2][19]*SPP[1] - P[13][19]*SPP[5]; nextP[6][20] = P[6][20] + P[1][20]*SF[2] + P[3][20]*SF[1] + P[0][20]*SPP[0] - P[2][20]*SPP[1] - P[13][20]*SPP[5]; nextP[6][21] = P[6][21] + P[1][21]*SF[2] + P[3][21]*SF[1] + P[0][21]*SPP[0] - P[2][21]*SPP[1] - P[13][21]*SPP[5]; - nextP[6][22] = P[6][22] + P[1][22]*SF[2] + P[3][22]*SF[1] + P[0][22]*SPP[0] - P[2][22]*SPP[1] - P[13][22]*SPP[5]; nextP[7][0] = P[7][0] + P[4][0]*dt + SF[7]*(P[7][1] + P[4][1]*dt) + SF[9]*(P[7][2] + P[4][2]*dt) + SF[8]*(P[7][3] + P[4][3]*dt) + SF[11]*(P[7][10] + P[4][10]*dt) + SPP[7]*(P[7][11] + P[4][11]*dt) + SPP[6]*(P[7][12] + P[4][12]*dt); nextP[7][1] = P[7][1] + P[4][1]*dt + SF[6]*(P[7][0] + P[4][0]*dt) + SF[5]*(P[7][2] + P[4][2]*dt) + SF[9]*(P[7][3] + P[4][3]*dt) + SPP[6]*(P[7][11] + P[4][11]*dt) - SPP[7]*(P[7][12] + P[4][12]*dt) - (q0*(P[7][10] + P[4][10]*dt))/2; nextP[7][2] = P[7][2] + P[4][2]*dt + SF[4]*(P[7][0] + P[4][0]*dt) + SF[8]*(P[7][1] + P[4][1]*dt) + SF[6]*(P[7][3] + P[4][3]*dt) + SF[11]*(P[7][12] + P[4][12]*dt) - SPP[6]*(P[7][10] + P[4][10]*dt) - (q0*(P[7][11] + P[4][11]*dt))/2; @@ -612,7 +599,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[7][19] = P[7][19] + P[4][19]*dt; nextP[7][20] = P[7][20] + P[4][20]*dt; nextP[7][21] = P[7][21] + P[4][21]*dt; - nextP[7][22] = P[7][22] + P[4][22]*dt; nextP[8][0] = P[8][0] + P[5][0]*dt + SF[7]*(P[8][1] + P[5][1]*dt) + SF[9]*(P[8][2] + P[5][2]*dt) + SF[8]*(P[8][3] + P[5][3]*dt) + SF[11]*(P[8][10] + P[5][10]*dt) + SPP[7]*(P[8][11] + P[5][11]*dt) + SPP[6]*(P[8][12] + P[5][12]*dt); nextP[8][1] = P[8][1] + P[5][1]*dt + SF[6]*(P[8][0] + P[5][0]*dt) + SF[5]*(P[8][2] + P[5][2]*dt) + SF[9]*(P[8][3] + P[5][3]*dt) + SPP[6]*(P[8][11] + P[5][11]*dt) - SPP[7]*(P[8][12] + P[5][12]*dt) - (q0*(P[8][10] + P[5][10]*dt))/2; nextP[8][2] = P[8][2] + P[5][2]*dt + SF[4]*(P[8][0] + P[5][0]*dt) + SF[8]*(P[8][1] + P[5][1]*dt) + SF[6]*(P[8][3] + P[5][3]*dt) + SF[11]*(P[8][12] + P[5][12]*dt) - SPP[6]*(P[8][10] + P[5][10]*dt) - (q0*(P[8][11] + P[5][11]*dt))/2; @@ -635,7 +621,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[8][19] = P[8][19] + P[5][19]*dt; nextP[8][20] = P[8][20] + P[5][20]*dt; nextP[8][21] = P[8][21] + P[5][21]*dt; - nextP[8][22] = P[8][22] + P[5][22]*dt; nextP[9][0] = P[9][0] + P[6][0]*dt + SF[7]*(P[9][1] + P[6][1]*dt) + SF[9]*(P[9][2] + P[6][2]*dt) + SF[8]*(P[9][3] + P[6][3]*dt) + SF[11]*(P[9][10] + P[6][10]*dt) + SPP[7]*(P[9][11] + P[6][11]*dt) + SPP[6]*(P[9][12] + P[6][12]*dt); nextP[9][1] = P[9][1] + P[6][1]*dt + SF[6]*(P[9][0] + P[6][0]*dt) + SF[5]*(P[9][2] + P[6][2]*dt) + SF[9]*(P[9][3] + P[6][3]*dt) + SPP[6]*(P[9][11] + P[6][11]*dt) - SPP[7]*(P[9][12] + P[6][12]*dt) - (q0*(P[9][10] + P[6][10]*dt))/2; nextP[9][2] = P[9][2] + P[6][2]*dt + SF[4]*(P[9][0] + P[6][0]*dt) + SF[8]*(P[9][1] + P[6][1]*dt) + SF[6]*(P[9][3] + P[6][3]*dt) + SF[11]*(P[9][12] + P[6][12]*dt) - SPP[6]*(P[9][10] + P[6][10]*dt) - (q0*(P[9][11] + P[6][11]*dt))/2; @@ -658,7 +643,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[9][19] = P[9][19] + P[6][19]*dt; nextP[9][20] = P[9][20] + P[6][20]*dt; nextP[9][21] = P[9][21] + P[6][21]*dt; - nextP[9][22] = P[9][22] + P[6][22]*dt; nextP[10][0] = P[10][0] + P[10][1]*SF[7] + P[10][2]*SF[9] + P[10][3]*SF[8] + P[10][10]*SF[11] + P[10][11]*SPP[7] + P[10][12]*SPP[6]; nextP[10][1] = P[10][1] + P[10][0]*SF[6] + P[10][2]*SF[5] + P[10][3]*SF[9] + P[10][11]*SPP[6] - P[10][12]*SPP[7] - (P[10][10]*q0)/2; nextP[10][2] = P[10][2] + P[10][0]*SF[4] + P[10][1]*SF[8] + P[10][3]*SF[6] + P[10][12]*SF[11] - P[10][10]*SPP[6] - (P[10][11]*q0)/2; @@ -681,7 +665,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[10][19] = P[10][19]; nextP[10][20] = P[10][20]; nextP[10][21] = P[10][21]; - nextP[10][22] = P[10][22]; nextP[11][0] = P[11][0] + P[11][1]*SF[7] + P[11][2]*SF[9] + P[11][3]*SF[8] + P[11][10]*SF[11] + P[11][11]*SPP[7] + P[11][12]*SPP[6]; nextP[11][1] = P[11][1] + P[11][0]*SF[6] + P[11][2]*SF[5] + P[11][3]*SF[9] + P[11][11]*SPP[6] - P[11][12]*SPP[7] - (P[11][10]*q0)/2; nextP[11][2] = P[11][2] + P[11][0]*SF[4] + P[11][1]*SF[8] + P[11][3]*SF[6] + P[11][12]*SF[11] - P[11][10]*SPP[6] - (P[11][11]*q0)/2; @@ -704,7 +687,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[11][19] = P[11][19]; nextP[11][20] = P[11][20]; nextP[11][21] = P[11][21]; - nextP[11][22] = P[11][22]; nextP[12][0] = P[12][0] + P[12][1]*SF[7] + P[12][2]*SF[9] + P[12][3]*SF[8] + P[12][10]*SF[11] + P[12][11]*SPP[7] + P[12][12]*SPP[6]; nextP[12][1] = P[12][1] + P[12][0]*SF[6] + P[12][2]*SF[5] + P[12][3]*SF[9] + P[12][11]*SPP[6] - P[12][12]*SPP[7] - (P[12][10]*q0)/2; nextP[12][2] = P[12][2] + P[12][0]*SF[4] + P[12][1]*SF[8] + P[12][3]*SF[6] + P[12][12]*SF[11] - P[12][10]*SPP[6] - (P[12][11]*q0)/2; @@ -727,7 +709,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[12][19] = P[12][19]; nextP[12][20] = P[12][20]; nextP[12][21] = P[12][21]; - nextP[12][22] = P[12][22]; nextP[13][0] = P[13][0] + P[13][1]*SF[7] + P[13][2]*SF[9] + P[13][3]*SF[8] + P[13][10]*SF[11] + P[13][11]*SPP[7] + P[13][12]*SPP[6]; nextP[13][1] = P[13][1] + P[13][0]*SF[6] + P[13][2]*SF[5] + P[13][3]*SF[9] + P[13][11]*SPP[6] - P[13][12]*SPP[7] - (P[13][10]*q0)/2; nextP[13][2] = P[13][2] + P[13][0]*SF[4] + P[13][1]*SF[8] + P[13][3]*SF[6] + P[13][12]*SF[11] - P[13][10]*SPP[6] - (P[13][11]*q0)/2; @@ -750,7 +731,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[13][19] = P[13][19]; nextP[13][20] = P[13][20]; nextP[13][21] = P[13][21]; - nextP[13][22] = P[13][22]; nextP[14][0] = P[14][0] + P[14][1]*SF[7] + P[14][2]*SF[9] + P[14][3]*SF[8] + P[14][10]*SF[11] + P[14][11]*SPP[7] + P[14][12]*SPP[6]; nextP[14][1] = P[14][1] + P[14][0]*SF[6] + P[14][2]*SF[5] + P[14][3]*SF[9] + P[14][11]*SPP[6] - P[14][12]*SPP[7] - (P[14][10]*q0)/2; nextP[14][2] = P[14][2] + P[14][0]*SF[4] + P[14][1]*SF[8] + P[14][3]*SF[6] + P[14][12]*SF[11] - P[14][10]*SPP[6] - (P[14][11]*q0)/2; @@ -773,7 +753,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[14][19] = P[14][19]; nextP[14][20] = P[14][20]; nextP[14][21] = P[14][21]; - nextP[14][22] = P[14][22]; nextP[15][0] = P[15][0] + P[15][1]*SF[7] + P[15][2]*SF[9] + P[15][3]*SF[8] + P[15][10]*SF[11] + P[15][11]*SPP[7] + P[15][12]*SPP[6]; nextP[15][1] = P[15][1] + P[15][0]*SF[6] + P[15][2]*SF[5] + P[15][3]*SF[9] + P[15][11]*SPP[6] - P[15][12]*SPP[7] - (P[15][10]*q0)/2; nextP[15][2] = P[15][2] + P[15][0]*SF[4] + P[15][1]*SF[8] + P[15][3]*SF[6] + P[15][12]*SF[11] - P[15][10]*SPP[6] - (P[15][11]*q0)/2; @@ -796,7 +775,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[15][19] = P[15][19]; nextP[15][20] = P[15][20]; nextP[15][21] = P[15][21]; - nextP[15][22] = P[15][22]; nextP[16][0] = P[16][0] + P[16][1]*SF[7] + P[16][2]*SF[9] + P[16][3]*SF[8] + P[16][10]*SF[11] + P[16][11]*SPP[7] + P[16][12]*SPP[6]; nextP[16][1] = P[16][1] + P[16][0]*SF[6] + P[16][2]*SF[5] + P[16][3]*SF[9] + P[16][11]*SPP[6] - P[16][12]*SPP[7] - (P[16][10]*q0)/2; nextP[16][2] = P[16][2] + P[16][0]*SF[4] + P[16][1]*SF[8] + P[16][3]*SF[6] + P[16][12]*SF[11] - P[16][10]*SPP[6] - (P[16][11]*q0)/2; @@ -819,7 +797,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[16][19] = P[16][19]; nextP[16][20] = P[16][20]; nextP[16][21] = P[16][21]; - nextP[16][22] = P[16][22]; nextP[17][0] = P[17][0] + P[17][1]*SF[7] + P[17][2]*SF[9] + P[17][3]*SF[8] + P[17][10]*SF[11] + P[17][11]*SPP[7] + P[17][12]*SPP[6]; nextP[17][1] = P[17][1] + P[17][0]*SF[6] + P[17][2]*SF[5] + P[17][3]*SF[9] + P[17][11]*SPP[6] - P[17][12]*SPP[7] - (P[17][10]*q0)/2; nextP[17][2] = P[17][2] + P[17][0]*SF[4] + P[17][1]*SF[8] + P[17][3]*SF[6] + P[17][12]*SF[11] - P[17][10]*SPP[6] - (P[17][11]*q0)/2; @@ -842,7 +819,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[17][19] = P[17][19]; nextP[17][20] = P[17][20]; nextP[17][21] = P[17][21]; - nextP[17][22] = P[17][22]; nextP[18][0] = P[18][0] + P[18][1]*SF[7] + P[18][2]*SF[9] + P[18][3]*SF[8] + P[18][10]*SF[11] + P[18][11]*SPP[7] + P[18][12]*SPP[6]; nextP[18][1] = P[18][1] + P[18][0]*SF[6] + P[18][2]*SF[5] + P[18][3]*SF[9] + P[18][11]*SPP[6] - P[18][12]*SPP[7] - (P[18][10]*q0)/2; nextP[18][2] = P[18][2] + P[18][0]*SF[4] + P[18][1]*SF[8] + P[18][3]*SF[6] + P[18][12]*SF[11] - P[18][10]*SPP[6] - (P[18][11]*q0)/2; @@ -865,7 +841,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[18][19] = P[18][19]; nextP[18][20] = P[18][20]; nextP[18][21] = P[18][21]; - nextP[18][22] = P[18][22]; nextP[19][0] = P[19][0] + P[19][1]*SF[7] + P[19][2]*SF[9] + P[19][3]*SF[8] + P[19][10]*SF[11] + P[19][11]*SPP[7] + P[19][12]*SPP[6]; nextP[19][1] = P[19][1] + P[19][0]*SF[6] + P[19][2]*SF[5] + P[19][3]*SF[9] + P[19][11]*SPP[6] - P[19][12]*SPP[7] - (P[19][10]*q0)/2; nextP[19][2] = P[19][2] + P[19][0]*SF[4] + P[19][1]*SF[8] + P[19][3]*SF[6] + P[19][12]*SF[11] - P[19][10]*SPP[6] - (P[19][11]*q0)/2; @@ -888,7 +863,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[19][19] = P[19][19]; nextP[19][20] = P[19][20]; nextP[19][21] = P[19][21]; - nextP[19][22] = P[19][22]; nextP[20][0] = P[20][0] + P[20][1]*SF[7] + P[20][2]*SF[9] + P[20][3]*SF[8] + P[20][10]*SF[11] + P[20][11]*SPP[7] + P[20][12]*SPP[6]; nextP[20][1] = P[20][1] + P[20][0]*SF[6] + P[20][2]*SF[5] + P[20][3]*SF[9] + P[20][11]*SPP[6] - P[20][12]*SPP[7] - (P[20][10]*q0)/2; nextP[20][2] = P[20][2] + P[20][0]*SF[4] + P[20][1]*SF[8] + P[20][3]*SF[6] + P[20][12]*SF[11] - P[20][10]*SPP[6] - (P[20][11]*q0)/2; @@ -911,7 +885,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[20][19] = P[20][19]; nextP[20][20] = P[20][20]; nextP[20][21] = P[20][21]; - nextP[20][22] = P[20][22]; nextP[21][0] = P[21][0] + P[21][1]*SF[7] + P[21][2]*SF[9] + P[21][3]*SF[8] + P[21][10]*SF[11] + P[21][11]*SPP[7] + P[21][12]*SPP[6]; nextP[21][1] = P[21][1] + P[21][0]*SF[6] + P[21][2]*SF[5] + P[21][3]*SF[9] + P[21][11]*SPP[6] - P[21][12]*SPP[7] - (P[21][10]*q0)/2; nextP[21][2] = P[21][2] + P[21][0]*SF[4] + P[21][1]*SF[8] + P[21][3]*SF[6] + P[21][12]*SF[11] - P[21][10]*SPP[6] - (P[21][11]*q0)/2; @@ -934,30 +907,6 @@ void AttPosEKF::CovariancePrediction(float dt) nextP[21][19] = P[21][19]; nextP[21][20] = P[21][20]; nextP[21][21] = P[21][21]; - nextP[21][22] = P[21][22]; - nextP[22][0] = P[22][0] + P[22][1]*SF[7] + P[22][2]*SF[9] + P[22][3]*SF[8] + P[22][10]*SF[11] + P[22][11]*SPP[7] + P[22][12]*SPP[6]; - nextP[22][1] = P[22][1] + P[22][0]*SF[6] + P[22][2]*SF[5] + P[22][3]*SF[9] + P[22][11]*SPP[6] - P[22][12]*SPP[7] - (P[22][10]*q0)/2; - nextP[22][2] = P[22][2] + P[22][0]*SF[4] + P[22][1]*SF[8] + P[22][3]*SF[6] + P[22][12]*SF[11] - P[22][10]*SPP[6] - (P[22][11]*q0)/2; - nextP[22][3] = P[22][3] + P[22][0]*SF[5] + P[22][1]*SF[4] + P[22][2]*SF[7] - P[22][11]*SF[11] + P[22][10]*SPP[7] - (P[22][12]*q0)/2; - nextP[22][4] = P[22][4] + P[22][1]*SF[1] + P[22][0]*SF[3] + P[22][2]*SPP[0] - P[22][3]*SPP[2] - P[22][13]*SPP[4]; - nextP[22][5] = P[22][5] + P[22][0]*SF[2] + P[22][2]*SF[1] + P[22][3]*SF[3] - P[22][1]*SPP[0] + P[22][13]*SPP[3]; - nextP[22][6] = P[22][6] + P[22][1]*SF[2] + P[22][3]*SF[1] + P[22][0]*SPP[0] - P[22][2]*SPP[1] - P[22][13]*SPP[5]; - nextP[22][7] = P[22][7] + P[22][4]*dt; - nextP[22][8] = P[22][8] + P[22][5]*dt; - nextP[22][9] = P[22][9] + P[22][6]*dt; - nextP[22][10] = P[22][10]; - nextP[22][11] = P[22][11]; - nextP[22][12] = P[22][12]; - nextP[22][13] = P[22][13]; - nextP[22][14] = P[22][14]; - nextP[22][15] = P[22][15]; - nextP[22][16] = P[22][16]; - nextP[22][17] = P[22][17]; - nextP[22][18] = P[22][18]; - nextP[22][19] = P[22][19]; - nextP[22][20] = P[22][20]; - nextP[22][21] = P[22][21]; - nextP[22][22] = P[22][22]; for (unsigned i = 0; i < n_states; i++) { @@ -1031,7 +980,7 @@ void AttPosEKF::FuseVelposNED() bool fuseData[6] = {false,false,false,false,false,false}; uint8_t stateIndex; uint8_t obsIndex; - uint8_t indexLimit = 22; + uint8_t indexLimit = 21; // declare variables used by state and covariance update calculations float velErr; @@ -1230,15 +1179,11 @@ void AttPosEKF::FuseVelposNED() } // Don't update magnetic field states if inhibited if (inhibitMagStates) { - for (uint8_t i = 16; i<=21; i++) + for (uint8_t i = 16; i < n_states; i++) { Kfusion[i] = 0; } } - // Don't update terrain state if inhibited - if (inhibitGndState) { - Kfusion[22] = 0; - } // Calculate state corrections and re-normalise the quaternions for (uint8_t i = 0; i<=indexLimit; i++) @@ -1415,15 +1360,10 @@ void AttPosEKF::FuseMagnetometer() Kfusion[20] = SK_MX[0]*(P[20][19] + P[20][1]*SH_MAG[0] + P[20][3]*SH_MAG[2] + P[20][0]*SK_MX[3] - P[20][2]*SK_MX[2] - P[20][16]*SK_MX[1] + P[20][17]*SK_MX[5] - P[20][18]*SK_MX[4]); Kfusion[21] = SK_MX[0]*(P[21][19] + P[21][1]*SH_MAG[0] + P[21][3]*SH_MAG[2] + P[21][0]*SK_MX[3] - P[21][2]*SK_MX[2] - P[21][16]*SK_MX[1] + P[21][17]*SK_MX[5] - P[21][18]*SK_MX[4]); } else { - for (uint8_t i=16; i <= 21; i++) { + for (uint8_t i=16; i < n_states; i++) { Kfusion[i] = 0; } } - if (!inhibitGndState) { - Kfusion[22] = SK_MX[0]*(P[22][19] + P[22][1]*SH_MAG[0] + P[22][3]*SH_MAG[2] + P[22][0]*SK_MX[3] - P[22][2]*SK_MX[2] - P[22][16]*SK_MX[1] + P[22][17]*SK_MX[5] - P[22][18]*SK_MX[4]); - } else { - Kfusion[22] = 0; - } varInnovMag[0] = 1.0f/SK_MX[0]; innovMag[0] = MagPred[0] - magData.x; } @@ -1598,14 +1538,14 @@ void AttPosEKF::FuseMagnetometer() for (uint8_t j = 4; j <= 15; j++) KH[i][j] = 0.0f; if (!onGround) { - for (uint8_t j = 16; j <= 21; j++) + for (uint8_t j = 16; j < n_states; j++) { KH[i][j] = Kfusion[i] * H_MAG[j]; } } else { - for (uint8_t j = 16; j <= 21; j++) + for (uint8_t j = 16; j < n_states; j++) { KH[i][j] = 0.0f; } @@ -1622,7 +1562,7 @@ void AttPosEKF::FuseMagnetometer() } if (!onGround) { - for (uint8_t k = 16; k<=21; k++) + for (uint8_t k = 16; k < n_states; k++) { KHP[i][j] = KHP[i][j] + KH[i][k] * P[k][j]; } @@ -1669,32 +1609,6 @@ void AttPosEKF::FuseAirspeed() // Perform fusion of True Airspeed measurement if (useAirspeed && fuseVtasData && (VtasPred > 1.0f) && (VtasMeas > 8.0f)) { - - float altDiff = fabsf(windSpdFiltAltitude - hgtMea); - - if (isfinite(windSpdFiltClimb)) { - windSpdFiltClimb = ((1.0f - 0.0002f) * windSpdFiltClimb) + (0.0002f * states[6]); - } else { - windSpdFiltClimb = states[6]; - } - - if (altDiff < 20.0f) { - // Lowpass the output of the wind estimate - we want a long-term - // stable estimate, but not start to load into the overall dynamics - // of the system (which adjusting covariances would do) - - // Change filter coefficient based on altitude change rate - float windFiltCoeff = ConstrainFloat(fabsf(windSpdFiltClimb) / 1000.0f, 0.00005f, 0.2f); - - windSpdFiltNorth = ((1.0f - windFiltCoeff) * windSpdFiltNorth) + (windFiltCoeff * vwn); - windSpdFiltEast = ((1.0f - windFiltCoeff) * windSpdFiltEast) + (windFiltCoeff * vwe); - } else { - windSpdFiltNorth = vwn; - windSpdFiltEast = vwe; - } - - windSpdFiltAltitude = hgtMea; - // Calculate observation jacobians SH_TAS[0] = 1/(sqrt(sq(ve - vwe) + sq(vn - vwn) + sq(vd))); SH_TAS[1] = (SH_TAS[0]*(2.0f*ve - 2*vwe))/2.0f; @@ -1750,7 +1664,7 @@ void AttPosEKF::FuseAirspeed() Kfusion[20] = SK_TAS*(P[20][4]*SH_TAS[2] - P[20][14]*SH_TAS[2] + P[20][5]*SH_TAS[1] - P[20][15]*SH_TAS[1] + P[20][6]*vd*SH_TAS[0]); Kfusion[21] = SK_TAS*(P[21][4]*SH_TAS[2] - P[21][14]*SH_TAS[2] + P[21][5]*SH_TAS[1] - P[21][15]*SH_TAS[1] + P[21][6]*vd*SH_TAS[0]); } else { - for (uint8_t i=16; i <= 21; i++) { + for (uint8_t i=16; i < n_states; i++) { Kfusion[i] = 0; } } @@ -1762,7 +1676,7 @@ void AttPosEKF::FuseAirspeed() if ((innovVtas*innovVtas*SK_TAS) < 25.0f) { // correct the state vector - for (uint8_t j=0; j <= 22; j++) + for (uint8_t j=0; j < n_states; j++) { states[j] = states[j] - Kfusion[j] * innovVtas; } @@ -1779,7 +1693,7 @@ void AttPosEKF::FuseAirspeed() // correct the covariance P = (I - K*H)*P // take advantage of the empty columns in H to reduce the // number of operations - for (uint8_t i = 0; i <= 22; i++) + for (uint8_t i = 0; i < n_states; i++) { for (uint8_t j = 0; j <= 3; j++) KH[i][j] = 0.0; for (uint8_t j = 4; j <= 6; j++) @@ -1791,11 +1705,11 @@ void AttPosEKF::FuseAirspeed() { KH[i][j] = Kfusion[i] * H_TAS[j]; } - for (uint8_t j = 16; j <= 22; j++) KH[i][j] = 0.0; + for (uint8_t j = 16; j < n_states; j++) KH[i][j] = 0.0; } - for (uint8_t i = 0; i <= 22; i++) + for (uint8_t i = 0; i < n_states; i++) { - for (uint8_t j = 0; j <= 22; j++) + for (uint8_t j = 0; j < n_states; j++) { KHP[i][j] = 0.0; for (uint8_t k = 4; k <= 6; k++) @@ -1808,9 +1722,9 @@ void AttPosEKF::FuseAirspeed() } } } - for (uint8_t i = 0; i <= 22; i++) + for (uint8_t i = 0; i < n_states; i++) { - for (uint8_t j = 0; j <= 22; j++) + for (uint8_t j = 0; j < n_states; j++) { P[i][j] = P[i][j] - KHP[i][j]; } @@ -1835,356 +1749,269 @@ void AttPosEKF::zeroRows(float (&covMat)[n_states][n_states], uint8_t first, uin } } -void AttPosEKF::FuseRangeFinder() +void AttPosEKF::FuseOptFlow() { - - // Local variables - float rngPred; - float SH_RNG[5]; - float H_RNG[23]; - float SK_RNG[6]; - float cosRngTilt; - const float R_RNG = 0.25f; // 0.5 m2 rangefinder measurement variance - - // Copy required states to local variable names - float q0 = statesAtRngTime[0]; - float q1 = statesAtRngTime[1]; - float q2 = statesAtRngTime[2]; - float q3 = statesAtRngTime[3]; - float pd = statesAtRngTime[9]; - float ptd = statesAtRngTime[22]; - - // Need to check that our range finder tilt angle is less than 30 degrees and we are using range finder data - SH_RNG[4] = sinf(rngFinderPitch); - cosRngTilt = - Tbn.z.x * SH_RNG[4] + Tbn.z.z * cosf(rngFinderPitch); - if (useRangeFinder && fuseRngData && cosRngTilt > 0.87f) + static float SH_LOS[13]; + static float SK_LOS[9]; + static float q0 = 0.0f; + static float q1 = 0.0f; + static float q2 = 0.0f; + static float q3 = 1.0f; + static float vn = 0.0f; + static float ve = 0.0f; + static float vd = 0.0f; + static float pd = 0.0f; + static float ptd = 0.0f; + static float losPred[2]; + + // Transformation matrix from nav to body axes + float H_LOS[2][n_states]; + float K_LOS[2][n_states]; + Vector3f velNED_local; + Vector3f relVelSensor; + + // Perform sequential fusion of optical flow measurements only with valid tilt and height + flowStates[1] = maxf(flowStates[1], statesAtFlowTime[9] + minFlowRng); + float heightAboveGndEst = flowStates[1] - statesAtFlowTime[9]; + bool validTilt = Tnb.z.z > 0.71f; + if (validTilt) { - // Calculate observation jacobian and Kalman gain ignoring all states other than the terrain offset - // This prevents the range finder measurement modifying any of the other filter states and significantly reduces computations - SH_RNG[0] = SH_RNG[4]*(2*q0*q2 - 2*q1*q3) - sq(q0) + sq(q1) + sq(q2) - sq(q3); - SH_RNG[1] = pd - ptd; - SH_RNG[2] = 1/sq(SH_RNG[0]); - SH_RNG[3] = 1/SH_RNG[0]; - for (uint8_t i = 0; i < n_states; i++) { - H_RNG[i] = 0.0f; - Kfusion[i] = 0.0f; - } - H_RNG[22] = -SH_RNG[3]; - SK_RNG[0] = 1/(R_RNG + SH_RNG[3]*(P[9][9]*SH_RNG[3] - P[22][9]*SH_RNG[3] + P[0][9]*SH_RNG[1]*SH_RNG[2]*(2*q0 - 2*q2*SH_RNG[4]) - P[1][9]*SH_RNG[1]*SH_RNG[2]*(2*q1 - 2*q3*SH_RNG[4]) - P[2][9]*SH_RNG[1]*SH_RNG[2]*(2*q2 + 2*q0*SH_RNG[4]) + P[3][9]*SH_RNG[1]*SH_RNG[2]*(2*q3 + 2*q1*SH_RNG[4])) - SH_RNG[3]*(P[9][22]*SH_RNG[3] - P[22][22]*SH_RNG[3] + P[0][22]*SH_RNG[1]*SH_RNG[2]*(2*q0 - 2*q2*SH_RNG[4]) - P[1][22]*SH_RNG[1]*SH_RNG[2]*(2*q1 - 2*q3*SH_RNG[4]) - P[2][22]*SH_RNG[1]*SH_RNG[2]*(2*q2 + 2*q0*SH_RNG[4]) + P[3][22]*SH_RNG[1]*SH_RNG[2]*(2*q3 + 2*q1*SH_RNG[4])) + SH_RNG[1]*SH_RNG[2]*(2*q0 - 2*q2*SH_RNG[4])*(P[9][0]*SH_RNG[3] - P[22][0]*SH_RNG[3] + P[0][0]*SH_RNG[1]*SH_RNG[2]*(2*q0 - 2*q2*SH_RNG[4]) - P[1][0]*SH_RNG[1]*SH_RNG[2]*(2*q1 - 2*q3*SH_RNG[4]) - P[2][0]*SH_RNG[1]*SH_RNG[2]*(2*q2 + 2*q0*SH_RNG[4]) + P[3][0]*SH_RNG[1]*SH_RNG[2]*(2*q3 + 2*q1*SH_RNG[4])) - SH_RNG[1]*SH_RNG[2]*(2*q1 - 2*q3*SH_RNG[4])*(P[9][1]*SH_RNG[3] - P[22][1]*SH_RNG[3] + P[0][1]*SH_RNG[1]*SH_RNG[2]*(2*q0 - 2*q2*SH_RNG[4]) - P[1][1]*SH_RNG[1]*SH_RNG[2]*(2*q1 - 2*q3*SH_RNG[4]) - P[2][1]*SH_RNG[1]*SH_RNG[2]*(2*q2 + 2*q0*SH_RNG[4]) + P[3][1]*SH_RNG[1]*SH_RNG[2]*(2*q3 + 2*q1*SH_RNG[4])) - SH_RNG[1]*SH_RNG[2]*(2*q2 + 2*q0*SH_RNG[4])*(P[9][2]*SH_RNG[3] - P[22][2]*SH_RNG[3] + P[0][2]*SH_RNG[1]*SH_RNG[2]*(2*q0 - 2*q2*SH_RNG[4]) - P[1][2]*SH_RNG[1]*SH_RNG[2]*(2*q1 - 2*q3*SH_RNG[4]) - P[2][2]*SH_RNG[1]*SH_RNG[2]*(2*q2 + 2*q0*SH_RNG[4]) + P[3][2]*SH_RNG[1]*SH_RNG[2]*(2*q3 + 2*q1*SH_RNG[4])) + SH_RNG[1]*SH_RNG[2]*(2*q3 + 2*q1*SH_RNG[4])*(P[9][3]*SH_RNG[3] - P[22][3]*SH_RNG[3] + P[0][3]*SH_RNG[1]*SH_RNG[2]*(2*q0 - 2*q2*SH_RNG[4]) - P[1][3]*SH_RNG[1]*SH_RNG[2]*(2*q1 - 2*q3*SH_RNG[4]) - P[2][3]*SH_RNG[1]*SH_RNG[2]*(2*q2 + 2*q0*SH_RNG[4]) + P[3][3]*SH_RNG[1]*SH_RNG[2]*(2*q3 + 2*q1*SH_RNG[4]))); - SK_RNG[1] = 2*q1 - 2*q3*SH_RNG[4]; - SK_RNG[2] = 2*q0 - 2*q2*SH_RNG[4]; - SK_RNG[3] = 2*q3 + 2*q1*SH_RNG[4]; - SK_RNG[4] = 2*q2 + 2*q0*SH_RNG[4]; - SK_RNG[5] = SH_RNG[2]; - Kfusion[22] = SK_RNG[0]*(P[22][9]*SH_RNG[3] - P[22][22]*SH_RNG[3] + P[22][0]*SH_RNG[1]*SK_RNG[2]*SK_RNG[5] - P[22][1]*SH_RNG[1]*SK_RNG[1]*SK_RNG[5] - P[22][2]*SH_RNG[1]*SK_RNG[4]*SK_RNG[5] + P[22][3]*SH_RNG[1]*SK_RNG[3]*SK_RNG[5]); + // Sequential fusion of XY components. - // Calculate the innovation variance for data logging - varInnovRng = 1.0f/SK_RNG[0]; + // Calculate observation jacobians and Kalman gains + if (fuseOptFlowData) + { + // Copy required states to local variable names + q0 = statesAtFlowTime[0]; + q1 = statesAtFlowTime[1]; + q2 = statesAtFlowTime[2]; + q3 = statesAtFlowTime[3]; + vn = statesAtFlowTime[4]; + ve = statesAtFlowTime[5]; + vd = statesAtFlowTime[6]; + pd = statesAtFlowTime[9]; + ptd = flowStates[1]; + velNED_local.x = vn; + velNED_local.y = ve; + velNED_local.z = vd; + + // calculate range from ground plain to centre of sensor fov assuming flat earth + float range = heightAboveGndEst/Tnb_flow.z.z; + + // calculate relative velocity in sensor frame + relVelSensor = Tnb_flow*velNED_local; + + // divide velocity by range and include angular rate effects to get predicted angular LOS rates relative to X and Y axes + losPred[0] = relVelSensor.y/range; + losPred[1] = -relVelSensor.x/range; + + // Calculate common expressions for observation jacobians + SH_LOS[0] = sq(q0) - sq(q1) - sq(q2) + sq(q3); + SH_LOS[1] = vn*(sq(q0) + sq(q1) - sq(q2) - sq(q3)) - vd*(2*q0*q2 - 2*q1*q3) + ve*(2*q0*q3 + 2*q1*q2); + SH_LOS[2] = ve*(sq(q0) - sq(q1) + sq(q2) - sq(q3)) + vd*(2*q0*q1 + 2*q2*q3) - vn*(2*q0*q3 - 2*q1*q2); + SH_LOS[3] = 1/(pd - ptd); + SH_LOS[4] = 1/sq(pd - ptd); + + // Calculate common expressions for Kalman gains + SK_LOS[0] = 1.0f/((R_LOS + sq(omegaAcrossFlowTime[0] * moCompR_LOS)) + (SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) + 2*q0*SH_LOS[1]*SH_LOS[3])*(P[0][0]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) + 2*q0*SH_LOS[1]*SH_LOS[3]) + P[1][0]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q1*SH_LOS[1]*SH_LOS[3]) - P[2][0]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) + 2*q2*SH_LOS[1]*SH_LOS[3]) + P[3][0]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q3*SH_LOS[1]*SH_LOS[3]) + P[5][0]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 + 2*q1*q2) - P[6][0]*SH_LOS[0]*SH_LOS[3]*(2*q0*q2 - 2*q1*q3) - P[9][0]*SH_LOS[0]*SH_LOS[1]*SH_LOS[4] + P[4][0]*SH_LOS[0]*SH_LOS[3]*(sq(q0) + sq(q1) - sq(q2) - sq(q3))) + (SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q1*SH_LOS[1]*SH_LOS[3])*(P[0][1]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) + 2*q0*SH_LOS[1]*SH_LOS[3]) + P[1][1]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q1*SH_LOS[1]*SH_LOS[3]) - P[2][1]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) + 2*q2*SH_LOS[1]*SH_LOS[3]) + P[3][1]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q3*SH_LOS[1]*SH_LOS[3]) + P[5][1]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 + 2*q1*q2) - P[6][1]*SH_LOS[0]*SH_LOS[3]*(2*q0*q2 - 2*q1*q3) - P[9][1]*SH_LOS[0]*SH_LOS[1]*SH_LOS[4] + P[4][1]*SH_LOS[0]*SH_LOS[3]*(sq(q0) + sq(q1) - sq(q2) - sq(q3))) - (SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) + 2*q2*SH_LOS[1]*SH_LOS[3])*(P[0][2]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) + 2*q0*SH_LOS[1]*SH_LOS[3]) + P[1][2]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q1*SH_LOS[1]*SH_LOS[3]) - P[2][2]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) + 2*q2*SH_LOS[1]*SH_LOS[3]) + P[3][2]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q3*SH_LOS[1]*SH_LOS[3]) + P[5][2]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 + 2*q1*q2) - P[6][2]*SH_LOS[0]*SH_LOS[3]*(2*q0*q2 - 2*q1*q3) - P[9][2]*SH_LOS[0]*SH_LOS[1]*SH_LOS[4] + P[4][2]*SH_LOS[0]*SH_LOS[3]*(sq(q0) + sq(q1) - sq(q2) - sq(q3))) + (SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q3*SH_LOS[1]*SH_LOS[3])*(P[0][3]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) + 2*q0*SH_LOS[1]*SH_LOS[3]) + P[1][3]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q1*SH_LOS[1]*SH_LOS[3]) - P[2][3]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) + 2*q2*SH_LOS[1]*SH_LOS[3]) + P[3][3]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q3*SH_LOS[1]*SH_LOS[3]) + P[5][3]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 + 2*q1*q2) - P[6][3]*SH_LOS[0]*SH_LOS[3]*(2*q0*q2 - 2*q1*q3) - P[9][3]*SH_LOS[0]*SH_LOS[1]*SH_LOS[4] + P[4][3]*SH_LOS[0]*SH_LOS[3]*(sq(q0) + sq(q1) - sq(q2) - sq(q3))) - SH_LOS[0]*SH_LOS[1]*SH_LOS[4]*(P[0][9]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) + 2*q0*SH_LOS[1]*SH_LOS[3]) + P[1][9]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q1*SH_LOS[1]*SH_LOS[3]) - P[2][9]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) + 2*q2*SH_LOS[1]*SH_LOS[3]) + P[3][9]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q3*SH_LOS[1]*SH_LOS[3]) + P[5][9]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 + 2*q1*q2) - P[6][9]*SH_LOS[0]*SH_LOS[3]*(2*q0*q2 - 2*q1*q3) - P[9][9]*SH_LOS[0]*SH_LOS[1]*SH_LOS[4] + P[4][9]*SH_LOS[0]*SH_LOS[3]*(sq(q0) + sq(q1) - sq(q2) - sq(q3))) + SH_LOS[0]*SH_LOS[3]*(sq(q0) + sq(q1) - sq(q2) - sq(q3))*(P[0][4]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) + 2*q0*SH_LOS[1]*SH_LOS[3]) + P[1][4]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q1*SH_LOS[1]*SH_LOS[3]) - P[2][4]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) + 2*q2*SH_LOS[1]*SH_LOS[3]) + P[3][4]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q3*SH_LOS[1]*SH_LOS[3]) + P[5][4]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 + 2*q1*q2) - P[6][4]*SH_LOS[0]*SH_LOS[3]*(2*q0*q2 - 2*q1*q3) - P[9][4]*SH_LOS[0]*SH_LOS[1]*SH_LOS[4] + P[4][4]*SH_LOS[0]*SH_LOS[3]*(sq(q0) + sq(q1) - sq(q2) - sq(q3))) + SH_LOS[0]*SH_LOS[3]*(2*q0*q3 + 2*q1*q2)*(P[0][5]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) + 2*q0*SH_LOS[1]*SH_LOS[3]) + P[1][5]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q1*SH_LOS[1]*SH_LOS[3]) - P[2][5]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) + 2*q2*SH_LOS[1]*SH_LOS[3]) + P[3][5]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q3*SH_LOS[1]*SH_LOS[3]) + P[5][5]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 + 2*q1*q2) - P[6][5]*SH_LOS[0]*SH_LOS[3]*(2*q0*q2 - 2*q1*q3) - P[9][5]*SH_LOS[0]*SH_LOS[1]*SH_LOS[4] + P[4][5]*SH_LOS[0]*SH_LOS[3]*(sq(q0) + sq(q1) - sq(q2) - sq(q3))) - SH_LOS[0]*SH_LOS[3]*(2*q0*q2 - 2*q1*q3)*(P[0][6]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) + 2*q0*SH_LOS[1]*SH_LOS[3]) + P[1][6]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q1*SH_LOS[1]*SH_LOS[3]) - P[2][6]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) + 2*q2*SH_LOS[1]*SH_LOS[3]) + P[3][6]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q3*SH_LOS[1]*SH_LOS[3]) + P[5][6]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 + 2*q1*q2) - P[6][6]*SH_LOS[0]*SH_LOS[3]*(2*q0*q2 - 2*q1*q3) - P[9][6]*SH_LOS[0]*SH_LOS[1]*SH_LOS[4] + P[4][6]*SH_LOS[0]*SH_LOS[3]*(sq(q0) + sq(q1) - sq(q2) - sq(q3)))); + SK_LOS[1] = 1.0f/((R_LOS + sq(omegaAcrossFlowTime[1] * moCompR_LOS))+ (SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q0*SH_LOS[2]*SH_LOS[3])*(P[0][0]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q0*SH_LOS[2]*SH_LOS[3]) + P[1][0]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) - 2*q1*SH_LOS[2]*SH_LOS[3]) + P[2][0]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q2*SH_LOS[2]*SH_LOS[3]) - P[3][0]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) - 2*q3*SH_LOS[2]*SH_LOS[3]) - P[4][0]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 - 2*q1*q2) + P[6][0]*SH_LOS[0]*SH_LOS[3]*(2*q0*q1 + 2*q2*q3) - P[9][0]*SH_LOS[0]*SH_LOS[2]*SH_LOS[4] + P[5][0]*SH_LOS[0]*SH_LOS[3]*(sq(q0) - sq(q1) + sq(q2) - sq(q3))) + (SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) - 2*q1*SH_LOS[2]*SH_LOS[3])*(P[0][1]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q0*SH_LOS[2]*SH_LOS[3]) + P[1][1]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) - 2*q1*SH_LOS[2]*SH_LOS[3]) + P[2][1]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q2*SH_LOS[2]*SH_LOS[3]) - P[3][1]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) - 2*q3*SH_LOS[2]*SH_LOS[3]) - P[4][1]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 - 2*q1*q2) + P[6][1]*SH_LOS[0]*SH_LOS[3]*(2*q0*q1 + 2*q2*q3) - P[9][1]*SH_LOS[0]*SH_LOS[2]*SH_LOS[4] + P[5][1]*SH_LOS[0]*SH_LOS[3]*(sq(q0) - sq(q1) + sq(q2) - sq(q3))) + (SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q2*SH_LOS[2]*SH_LOS[3])*(P[0][2]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q0*SH_LOS[2]*SH_LOS[3]) + P[1][2]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) - 2*q1*SH_LOS[2]*SH_LOS[3]) + P[2][2]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q2*SH_LOS[2]*SH_LOS[3]) - P[3][2]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) - 2*q3*SH_LOS[2]*SH_LOS[3]) - P[4][2]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 - 2*q1*q2) + P[6][2]*SH_LOS[0]*SH_LOS[3]*(2*q0*q1 + 2*q2*q3) - P[9][2]*SH_LOS[0]*SH_LOS[2]*SH_LOS[4] + P[5][2]*SH_LOS[0]*SH_LOS[3]*(sq(q0) - sq(q1) + sq(q2) - sq(q3))) - (SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) - 2*q3*SH_LOS[2]*SH_LOS[3])*(P[0][3]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q0*SH_LOS[2]*SH_LOS[3]) + P[1][3]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) - 2*q1*SH_LOS[2]*SH_LOS[3]) + P[2][3]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q2*SH_LOS[2]*SH_LOS[3]) - P[3][3]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) - 2*q3*SH_LOS[2]*SH_LOS[3]) - P[4][3]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 - 2*q1*q2) + P[6][3]*SH_LOS[0]*SH_LOS[3]*(2*q0*q1 + 2*q2*q3) - P[9][3]*SH_LOS[0]*SH_LOS[2]*SH_LOS[4] + P[5][3]*SH_LOS[0]*SH_LOS[3]*(sq(q0) - sq(q1) + sq(q2) - sq(q3))) - SH_LOS[0]*SH_LOS[2]*SH_LOS[4]*(P[0][9]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q0*SH_LOS[2]*SH_LOS[3]) + P[1][9]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) - 2*q1*SH_LOS[2]*SH_LOS[3]) + P[2][9]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q2*SH_LOS[2]*SH_LOS[3]) - P[3][9]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) - 2*q3*SH_LOS[2]*SH_LOS[3]) - P[4][9]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 - 2*q1*q2) + P[6][9]*SH_LOS[0]*SH_LOS[3]*(2*q0*q1 + 2*q2*q3) - P[9][9]*SH_LOS[0]*SH_LOS[2]*SH_LOS[4] + P[5][9]*SH_LOS[0]*SH_LOS[3]*(sq(q0) - sq(q1) + sq(q2) - sq(q3))) + SH_LOS[0]*SH_LOS[3]*(sq(q0) - sq(q1) + sq(q2) - sq(q3))*(P[0][5]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q0*SH_LOS[2]*SH_LOS[3]) + P[1][5]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) - 2*q1*SH_LOS[2]*SH_LOS[3]) + P[2][5]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q2*SH_LOS[2]*SH_LOS[3]) - P[3][5]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) - 2*q3*SH_LOS[2]*SH_LOS[3]) - P[4][5]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 - 2*q1*q2) + P[6][5]*SH_LOS[0]*SH_LOS[3]*(2*q0*q1 + 2*q2*q3) - P[9][5]*SH_LOS[0]*SH_LOS[2]*SH_LOS[4] + P[5][5]*SH_LOS[0]*SH_LOS[3]*(sq(q0) - sq(q1) + sq(q2) - sq(q3))) - SH_LOS[0]*SH_LOS[3]*(2*q0*q3 - 2*q1*q2)*(P[0][4]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q0*SH_LOS[2]*SH_LOS[3]) + P[1][4]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) - 2*q1*SH_LOS[2]*SH_LOS[3]) + P[2][4]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q2*SH_LOS[2]*SH_LOS[3]) - P[3][4]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) - 2*q3*SH_LOS[2]*SH_LOS[3]) - P[4][4]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 - 2*q1*q2) + P[6][4]*SH_LOS[0]*SH_LOS[3]*(2*q0*q1 + 2*q2*q3) - P[9][4]*SH_LOS[0]*SH_LOS[2]*SH_LOS[4] + P[5][4]*SH_LOS[0]*SH_LOS[3]*(sq(q0) - sq(q1) + sq(q2) - sq(q3))) + SH_LOS[0]*SH_LOS[3]*(2*q0*q1 + 2*q2*q3)*(P[0][6]*(SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q0*SH_LOS[2]*SH_LOS[3]) + P[1][6]*(SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) - 2*q1*SH_LOS[2]*SH_LOS[3]) + P[2][6]*(SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q2*SH_LOS[2]*SH_LOS[3]) - P[3][6]*(SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) - 2*q3*SH_LOS[2]*SH_LOS[3]) - P[4][6]*SH_LOS[0]*SH_LOS[3]*(2*q0*q3 - 2*q1*q2) + P[6][6]*SH_LOS[0]*SH_LOS[3]*(2*q0*q1 + 2*q2*q3) - P[9][6]*SH_LOS[0]*SH_LOS[2]*SH_LOS[4] + P[5][6]*SH_LOS[0]*SH_LOS[3]*(sq(q0) - sq(q1) + sq(q2) - sq(q3)))); + SK_LOS[2] = SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn); + SK_LOS[3] = SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn); + SK_LOS[4] = SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn); + SK_LOS[5] = SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn); + SK_LOS[6] = sq(q0) - sq(q1) + sq(q2) - sq(q3); + SK_LOS[7] = sq(q0) + sq(q1) - sq(q2) - sq(q3); + SK_LOS[8] = SH_LOS[3]; + + // Calculate common intermediate terms + float tempVar[9]; + tempVar[0] = SH_LOS[0]*SK_LOS[6]*SK_LOS[8]; + tempVar[1] = SH_LOS[0]*SH_LOS[2]*SH_LOS[4]; + tempVar[2] = 2.0f*SH_LOS[2]*SK_LOS[8]; + tempVar[3] = SH_LOS[0]*SK_LOS[8]*(2.0f*q0*q1 + 2.0f*q2*q3); + tempVar[4] = SH_LOS[0]*SK_LOS[8]*(2.0f*q0*q3 - 2.0f*q1*q2); + tempVar[5] = (SK_LOS[5] - q2*tempVar[2]); + tempVar[6] = (SK_LOS[2] - q3*tempVar[2]); + tempVar[7] = (SK_LOS[3] - q1*tempVar[2]); + tempVar[8] = (SK_LOS[4] + q0*tempVar[2]); + + // calculate observation jacobians for X LOS rate + for (uint8_t i = 0; i < n_states; i++) H_LOS[0][i] = 0; + H_LOS[0][0] = - SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) - 2*q0*SH_LOS[2]*SH_LOS[3]; + H_LOS[0][1] = 2*q1*SH_LOS[2]*SH_LOS[3] - SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn); + H_LOS[0][2] = 2*q2*SH_LOS[2]*SH_LOS[3] - SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn); + H_LOS[0][3] = SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) - 2*q3*SH_LOS[2]*SH_LOS[3]; + H_LOS[0][4] = SH_LOS[0]*SH_LOS[3]*(2*q0*q3 - 2*q1*q2); + H_LOS[0][5] = -SH_LOS[0]*SH_LOS[3]*(sq(q0) - sq(q1) + sq(q2) - sq(q3)); + H_LOS[0][6] = -SH_LOS[0]*SH_LOS[3]*(2*q0*q1 + 2*q2*q3); + H_LOS[0][9] = tempVar[1]; + + // calculate Kalman gains for X LOS rate + K_LOS[0][0] = -(P[0][0]*tempVar[8] + P[0][1]*tempVar[7] - P[0][3]*tempVar[6] + P[0][2]*tempVar[5] - P[0][4]*tempVar[4] + P[0][6]*tempVar[3] - P[0][9]*tempVar[1] + P[0][5]*tempVar[0])/(R_LOS + tempVar[8]*(P[0][0]*tempVar[8] + P[1][0]*tempVar[7] + P[2][0]*tempVar[5] - P[3][0]*tempVar[6] - P[4][0]*tempVar[4] + P[6][0]*tempVar[3] - P[9][0]*tempVar[1] + P[5][0]*tempVar[0]) + tempVar[7]*(P[0][1]*tempVar[8] + P[1][1]*tempVar[7] + P[2][1]*tempVar[5] - P[3][1]*tempVar[6] - P[4][1]*tempVar[4] + P[6][1]*tempVar[3] - P[9][1]*tempVar[1] + P[5][1]*tempVar[0]) + tempVar[5]*(P[0][2]*tempVar[8] + P[1][2]*tempVar[7] + P[2][2]*tempVar[5] - P[3][2]*tempVar[6] - P[4][2]*tempVar[4] + P[6][2]*tempVar[3] - P[9][2]*tempVar[1] + P[5][2]*tempVar[0]) - tempVar[6]*(P[0][3]*tempVar[8] + P[1][3]*tempVar[7] + P[2][3]*tempVar[5] - P[3][3]*tempVar[6] - P[4][3]*tempVar[4] + P[6][3]*tempVar[3] - P[9][3]*tempVar[1] + P[5][3]*tempVar[0]) - tempVar[4]*(P[0][4]*tempVar[8] + P[1][4]*tempVar[7] + P[2][4]*tempVar[5] - P[3][4]*tempVar[6] - P[4][4]*tempVar[4] + P[6][4]*tempVar[3] - P[9][4]*tempVar[1] + P[5][4]*tempVar[0]) + tempVar[3]*(P[0][6]*tempVar[8] + P[1][6]*tempVar[7] + P[2][6]*tempVar[5] - P[3][6]*tempVar[6] - P[4][6]*tempVar[4] + P[6][6]*tempVar[3] - P[9][6]*tempVar[1] + P[5][6]*tempVar[0]) - tempVar[1]*(P[0][9]*tempVar[8] + P[1][9]*tempVar[7] + P[2][9]*tempVar[5] - P[3][9]*tempVar[6] - P[4][9]*tempVar[4] + P[6][9]*tempVar[3] - P[9][9]*tempVar[1] + P[5][9]*tempVar[0]) + tempVar[0]*(P[0][5]*tempVar[8] + P[1][5]*tempVar[7] + P[2][5]*tempVar[5] - P[3][5]*tempVar[6] - P[4][5]*tempVar[4] + P[6][5]*tempVar[3] - P[9][5]*tempVar[1] + P[5][5]*tempVar[0])); + K_LOS[0][1] = -SK_LOS[1]*(P[1][0]*tempVar[8] + P[1][1]*tempVar[7] - P[1][3]*tempVar[6] + P[1][2]*tempVar[5] - P[1][4]*tempVar[4] + P[1][6]*tempVar[3] - P[1][9]*tempVar[1] + P[1][5]*tempVar[0]); + K_LOS[0][2] = -SK_LOS[1]*(P[2][0]*tempVar[8] + P[2][1]*tempVar[7] - P[2][3]*tempVar[6] + P[2][2]*tempVar[5] - P[2][4]*tempVar[4] + P[2][6]*tempVar[3] - P[2][9]*tempVar[1] + P[2][5]*tempVar[0]); + K_LOS[0][3] = -SK_LOS[1]*(P[3][0]*tempVar[8] + P[3][1]*tempVar[7] - P[3][3]*tempVar[6] + P[3][2]*tempVar[5] - P[3][4]*tempVar[4] + P[3][6]*tempVar[3] - P[3][9]*tempVar[1] + P[3][5]*tempVar[0]); + K_LOS[0][4] = -SK_LOS[1]*(P[4][0]*tempVar[8] + P[4][1]*tempVar[7] - P[4][3]*tempVar[6] + P[4][2]*tempVar[5] - P[4][4]*tempVar[4] + P[4][6]*tempVar[3] - P[4][9]*tempVar[1] + P[4][5]*tempVar[0]); + K_LOS[0][5] = -SK_LOS[1]*(P[5][0]*tempVar[8] + P[5][1]*tempVar[7] - P[5][3]*tempVar[6] + P[5][2]*tempVar[5] - P[5][4]*tempVar[4] + P[5][6]*tempVar[3] - P[5][9]*tempVar[1] + P[5][5]*tempVar[0]); + K_LOS[0][6] = -SK_LOS[1]*(P[6][0]*tempVar[8] + P[6][1]*tempVar[7] - P[6][3]*tempVar[6] + P[6][2]*tempVar[5] - P[6][4]*tempVar[4] + P[6][6]*tempVar[3] - P[6][9]*tempVar[1] + P[6][5]*tempVar[0]); + K_LOS[0][7] = -SK_LOS[1]*(P[7][0]*tempVar[8] + P[7][1]*tempVar[7] - P[7][3]*tempVar[6] + P[7][2]*tempVar[5] - P[7][4]*tempVar[4] + P[7][6]*tempVar[3] - P[7][9]*tempVar[1] + P[7][5]*tempVar[0]); + K_LOS[0][8] = -SK_LOS[1]*(P[8][0]*tempVar[8] + P[8][1]*tempVar[7] - P[8][3]*tempVar[6] + P[8][2]*tempVar[5] - P[8][4]*tempVar[4] + P[8][6]*tempVar[3] - P[8][9]*tempVar[1] + P[8][5]*tempVar[0]); + K_LOS[0][9] = -SK_LOS[1]*(P[9][0]*tempVar[8] + P[9][1]*tempVar[7] - P[9][3]*tempVar[6] + P[9][2]*tempVar[5] - P[9][4]*tempVar[4] + P[9][6]*tempVar[3] - P[9][9]*tempVar[1] + P[9][5]*tempVar[0]); + K_LOS[0][10] = -SK_LOS[1]*(P[10][0]*tempVar[8] + P[10][1]*tempVar[7] - P[10][3]*tempVar[6] + P[10][2]*tempVar[5] - P[10][4]*tempVar[4] + P[10][6]*tempVar[3] - P[10][9]*tempVar[1] + P[10][5]*tempVar[0]); + K_LOS[0][11] = -SK_LOS[1]*(P[11][0]*tempVar[8] + P[11][1]*tempVar[7] - P[11][3]*tempVar[6] + P[11][2]*tempVar[5] - P[11][4]*tempVar[4] + P[11][6]*tempVar[3] - P[11][9]*tempVar[1] + P[11][5]*tempVar[0]); + K_LOS[0][12] = -SK_LOS[1]*(P[12][0]*tempVar[8] + P[12][1]*tempVar[7] - P[12][3]*tempVar[6] + P[12][2]*tempVar[5] - P[12][4]*tempVar[4] + P[12][6]*tempVar[3] - P[12][9]*tempVar[1] + P[12][5]*tempVar[0]); + // only height measurements are allowed to modify the Z bias state to improve the stability of the estimate + K_LOS[0][13] = 0.0f;//-SK_LOS[1]*(P[13][0]*tempVar[8] + P[13][1]*tempVar[7] - P[13][3]*tempVar[6] + P[13][2]*tempVar[5] - P[13][4]*tempVar[4] + P[13][6]*tempVar[3] - P[13][9]*tempVar[1] + P[13][5]*tempVar[0]); + if (inhibitWindStates) { + K_LOS[0][14] = -SK_LOS[1]*(P[14][0]*tempVar[8] + P[14][1]*tempVar[7] - P[14][3]*tempVar[6] + P[14][2]*tempVar[5] - P[14][4]*tempVar[4] + P[14][6]*tempVar[3] - P[14][9]*tempVar[1] + P[14][5]*tempVar[0]); + K_LOS[0][15] = -SK_LOS[1]*(P[15][0]*tempVar[8] + P[15][1]*tempVar[7] - P[15][3]*tempVar[6] + P[15][2]*tempVar[5] - P[15][4]*tempVar[4] + P[15][6]*tempVar[3] - P[15][9]*tempVar[1] + P[15][5]*tempVar[0]); + } else { + K_LOS[0][14] = 0.0f; + K_LOS[0][15] = 0.0f; + } + if (inhibitMagStates) { + K_LOS[0][16] = -SK_LOS[1]*(P[16][0]*tempVar[8] + P[16][1]*tempVar[7] - P[16][3]*tempVar[6] + P[16][2]*tempVar[5] - P[16][4]*tempVar[4] + P[16][6]*tempVar[3] - P[16][9]*tempVar[1] + P[16][5]*tempVar[0]); + K_LOS[0][17] = -SK_LOS[1]*(P[17][0]*tempVar[8] + P[17][1]*tempVar[7] - P[17][3]*tempVar[6] + P[17][2]*tempVar[5] - P[17][4]*tempVar[4] + P[17][6]*tempVar[3] - P[17][9]*tempVar[1] + P[17][5]*tempVar[0]); + K_LOS[0][18] = -SK_LOS[1]*(P[18][0]*tempVar[8] + P[18][1]*tempVar[7] - P[18][3]*tempVar[6] + P[18][2]*tempVar[5] - P[18][4]*tempVar[4] + P[18][6]*tempVar[3] - P[18][9]*tempVar[1] + P[18][5]*tempVar[0]); + K_LOS[0][19] = -SK_LOS[1]*(P[19][0]*tempVar[8] + P[19][1]*tempVar[7] - P[19][3]*tempVar[6] + P[19][2]*tempVar[5] - P[19][4]*tempVar[4] + P[19][6]*tempVar[3] - P[19][9]*tempVar[1] + P[19][5]*tempVar[0]); + K_LOS[0][20] = -SK_LOS[1]*(P[20][0]*tempVar[8] + P[20][1]*tempVar[7] - P[20][3]*tempVar[6] + P[20][2]*tempVar[5] - P[20][4]*tempVar[4] + P[20][6]*tempVar[3] - P[20][9]*tempVar[1] + P[20][5]*tempVar[0]); + K_LOS[0][21] = -SK_LOS[1]*(P[21][0]*tempVar[8] + P[21][1]*tempVar[7] - P[21][3]*tempVar[6] + P[21][2]*tempVar[5] - P[21][4]*tempVar[4] + P[21][6]*tempVar[3] - P[21][9]*tempVar[1] + P[21][5]*tempVar[0]); + } else { + for (uint8_t i = 16; i < n_states; i++) { + K_LOS[0][i] = 0.0f; + } + } - // Calculate the measurement innovation - rngPred = (ptd - pd)/cosRngTilt; - innovRng = rngPred - rngMea; + // calculate innovation variance and innovation for X axis observation + varInnovOptFlow[0] = 1.0f/SK_LOS[0]; + innovOptFlow[0] = losPred[0] - flowRadXYcomp[0]; + + // calculate intermediate common variables + tempVar[0] = 2.0f*SH_LOS[1]*SK_LOS[8]; + tempVar[1] = (SK_LOS[2] + q0*tempVar[0]); + tempVar[2] = (SK_LOS[5] - q1*tempVar[0]); + tempVar[3] = (SK_LOS[3] + q2*tempVar[0]); + tempVar[4] = (SK_LOS[4] + q3*tempVar[0]); + tempVar[5] = SH_LOS[0]*SK_LOS[8]*(2*q0*q3 + 2*q1*q2); + tempVar[6] = SH_LOS[0]*SK_LOS[8]*(2*q0*q2 - 2*q1*q3); + tempVar[7] = SH_LOS[0]*SH_LOS[1]*SH_LOS[4]; + tempVar[8] = SH_LOS[0]*SK_LOS[7]*SK_LOS[8]; + + // Calculate observation jacobians for Y LOS rate + for (uint8_t i = 0; i < n_states; i++) H_LOS[1][i] = 0; + H_LOS[1][0] = SH_LOS[0]*SH_LOS[3]*(2*q3*ve - 2*q2*vd + 2*q0*vn) + 2*q0*SH_LOS[1]*SH_LOS[3]; + H_LOS[1][1] = SH_LOS[0]*SH_LOS[3]*(2*q3*vd + 2*q2*ve + 2*q1*vn) - 2*q1*SH_LOS[1]*SH_LOS[3]; + H_LOS[1][2] = - SH_LOS[0]*SH_LOS[3]*(2*q0*vd - 2*q1*ve + 2*q2*vn) - 2*q2*SH_LOS[1]*SH_LOS[3]; + H_LOS[1][3] = SH_LOS[0]*SH_LOS[3]*(2*q1*vd + 2*q0*ve - 2*q3*vn) + 2*q3*SH_LOS[1]*SH_LOS[3]; + H_LOS[1][4] = SH_LOS[0]*SH_LOS[3]*(sq(q0) + sq(q1) - sq(q2) - sq(q3)); + H_LOS[1][5] = SH_LOS[0]*SH_LOS[3]*(2*q0*q3 + 2*q1*q2); + H_LOS[1][6] = -SH_LOS[0]*SH_LOS[3]*(2*q0*q2 - 2*q1*q3); + H_LOS[1][9] = -tempVar[7]; + + // Calculate Kalman gains for Y LOS rate + K_LOS[1][0] = SK_LOS[0]*(P[0][0]*tempVar[1] + P[0][1]*tempVar[2] - P[0][2]*tempVar[3] + P[0][3]*tempVar[4] + P[0][5]*tempVar[5] - P[0][6]*tempVar[6] - P[0][9]*tempVar[7] + P[0][4]*tempVar[8]); + K_LOS[1][1] = SK_LOS[0]*(P[1][0]*tempVar[1] + P[1][1]*tempVar[2] - P[1][2]*tempVar[3] + P[1][3]*tempVar[4] + P[1][5]*tempVar[5] - P[1][6]*tempVar[6] - P[1][9]*tempVar[7] + P[1][4]*tempVar[8]); + K_LOS[1][2] = SK_LOS[0]*(P[2][0]*tempVar[1] + P[2][1]*tempVar[2] - P[2][2]*tempVar[3] + P[2][3]*tempVar[4] + P[2][5]*tempVar[5] - P[2][6]*tempVar[6] - P[2][9]*tempVar[7] + P[2][4]*tempVar[8]); + K_LOS[1][3] = SK_LOS[0]*(P[3][0]*tempVar[1] + P[3][1]*tempVar[2] - P[3][2]*tempVar[3] + P[3][3]*tempVar[4] + P[3][5]*tempVar[5] - P[3][6]*tempVar[6] - P[3][9]*tempVar[7] + P[3][4]*tempVar[8]); + K_LOS[1][4] = SK_LOS[0]*(P[4][0]*tempVar[1] + P[4][1]*tempVar[2] - P[4][2]*tempVar[3] + P[4][3]*tempVar[4] + P[4][5]*tempVar[5] - P[4][6]*tempVar[6] - P[4][9]*tempVar[7] + P[4][4]*tempVar[8]); + K_LOS[1][5] = SK_LOS[0]*(P[5][0]*tempVar[1] + P[5][1]*tempVar[2] - P[5][2]*tempVar[3] + P[5][3]*tempVar[4] + P[5][5]*tempVar[5] - P[5][6]*tempVar[6] - P[5][9]*tempVar[7] + P[5][4]*tempVar[8]); + K_LOS[1][6] = SK_LOS[0]*(P[6][0]*tempVar[1] + P[6][1]*tempVar[2] - P[6][2]*tempVar[3] + P[6][3]*tempVar[4] + P[6][5]*tempVar[5] - P[6][6]*tempVar[6] - P[6][9]*tempVar[7] + P[6][4]*tempVar[8]); + K_LOS[1][7] = SK_LOS[0]*(P[7][0]*tempVar[1] + P[7][1]*tempVar[2] - P[7][2]*tempVar[3] + P[7][3]*tempVar[4] + P[7][5]*tempVar[5] - P[7][6]*tempVar[6] - P[7][9]*tempVar[7] + P[7][4]*tempVar[8]); + K_LOS[1][8] = SK_LOS[0]*(P[8][0]*tempVar[1] + P[8][1]*tempVar[2] - P[8][2]*tempVar[3] + P[8][3]*tempVar[4] + P[8][5]*tempVar[5] - P[8][6]*tempVar[6] - P[8][9]*tempVar[7] + P[8][4]*tempVar[8]); + K_LOS[1][9] = SK_LOS[0]*(P[9][0]*tempVar[1] + P[9][1]*tempVar[2] - P[9][2]*tempVar[3] + P[9][3]*tempVar[4] + P[9][5]*tempVar[5] - P[9][6]*tempVar[6] - P[9][9]*tempVar[7] + P[9][4]*tempVar[8]); + K_LOS[1][10] = SK_LOS[0]*(P[10][0]*tempVar[1] + P[10][1]*tempVar[2] - P[10][2]*tempVar[3] + P[10][3]*tempVar[4] + P[10][5]*tempVar[5] - P[10][6]*tempVar[6] - P[10][9]*tempVar[7] + P[10][4]*tempVar[8]); + K_LOS[1][11] = SK_LOS[0]*(P[11][0]*tempVar[1] + P[11][1]*tempVar[2] - P[11][2]*tempVar[3] + P[11][3]*tempVar[4] + P[11][5]*tempVar[5] - P[11][6]*tempVar[6] - P[11][9]*tempVar[7] + P[11][4]*tempVar[8]); + K_LOS[1][12] = SK_LOS[0]*(P[12][0]*tempVar[1] + P[12][1]*tempVar[2] - P[12][2]*tempVar[3] + P[12][3]*tempVar[4] + P[12][5]*tempVar[5] - P[12][6]*tempVar[6] - P[12][9]*tempVar[7] + P[12][4]*tempVar[8]); + // only height measurements are allowed to modify the Z bias state to improve the stability of the estimate + K_LOS[1][13] = 0.0f;//SK_LOS[0]*(P[13][0]*tempVar[1] + P[13][1]*tempVar[2] - P[13][2]*tempVar[3] + P[13][3]*tempVar[4] + P[13][5]*tempVar[5] - P[13][6]*tempVar[6] - P[13][9]*tempVar[7] + P[13][4]*tempVar[8]); + if (inhibitWindStates) { + K_LOS[1][14] = SK_LOS[0]*(P[14][0]*tempVar[1] + P[14][1]*tempVar[2] - P[14][2]*tempVar[3] + P[14][3]*tempVar[4] + P[14][5]*tempVar[5] - P[14][6]*tempVar[6] - P[14][9]*tempVar[7] + P[14][4]*tempVar[8]); + K_LOS[1][15] = SK_LOS[0]*(P[15][0]*tempVar[1] + P[15][1]*tempVar[2] - P[15][2]*tempVar[3] + P[15][3]*tempVar[4] + P[15][5]*tempVar[5] - P[15][6]*tempVar[6] - P[15][9]*tempVar[7] + P[15][4]*tempVar[8]); + } else { + K_LOS[1][14] = 0.0f; + K_LOS[1][15] = 0.0f; + } + if (inhibitMagStates) { + K_LOS[1][16] = SK_LOS[0]*(P[16][0]*tempVar[1] + P[16][1]*tempVar[2] - P[16][2]*tempVar[3] + P[16][3]*tempVar[4] + P[16][5]*tempVar[5] - P[16][6]*tempVar[6] - P[16][9]*tempVar[7] + P[16][4]*tempVar[8]); + K_LOS[1][17] = SK_LOS[0]*(P[17][0]*tempVar[1] + P[17][1]*tempVar[2] - P[17][2]*tempVar[3] + P[17][3]*tempVar[4] + P[17][5]*tempVar[5] - P[17][6]*tempVar[6] - P[17][9]*tempVar[7] + P[17][4]*tempVar[8]); + K_LOS[1][18] = SK_LOS[0]*(P[18][0]*tempVar[1] + P[18][1]*tempVar[2] - P[18][2]*tempVar[3] + P[18][3]*tempVar[4] + P[18][5]*tempVar[5] - P[18][6]*tempVar[6] - P[18][9]*tempVar[7] + P[18][4]*tempVar[8]); + K_LOS[1][19] = SK_LOS[0]*(P[19][0]*tempVar[1] + P[19][1]*tempVar[2] - P[19][2]*tempVar[3] + P[19][3]*tempVar[4] + P[19][5]*tempVar[5] - P[19][6]*tempVar[6] - P[19][9]*tempVar[7] + P[19][4]*tempVar[8]); + K_LOS[1][20] = SK_LOS[0]*(P[20][0]*tempVar[1] + P[20][1]*tempVar[2] - P[20][2]*tempVar[3] + P[20][3]*tempVar[4] + P[20][5]*tempVar[5] - P[20][6]*tempVar[6] - P[20][9]*tempVar[7] + P[20][4]*tempVar[8]); + K_LOS[1][21] = SK_LOS[0]*(P[21][0]*tempVar[1] + P[21][1]*tempVar[2] - P[21][2]*tempVar[3] + P[21][3]*tempVar[4] + P[21][5]*tempVar[5] - P[21][6]*tempVar[6] - P[21][9]*tempVar[7] + P[21][4]*tempVar[8]); + } else { + for (uint8_t i = 16; i < n_states; i++) { + K_LOS[1][i] = 0.0f; + } + } - // calculate the innovation consistency test ratio - auxRngTestRatio = sq(innovRng) / (sq(rngInnovGate) * varInnovRng); + // calculate variance and innovation for Y observation + varInnovOptFlow[1] = 1.0f/SK_LOS[1]; + innovOptFlow[1] = losPred[1] - flowRadXYcomp[1]; - // Check the innovation for consistency and don't fuse if out of bounds - if (auxRngTestRatio < 1.0f) - { - // correct the state vector - states[22] = states[22] - Kfusion[22] * innovRng; + } - // correct the covariance P = (I - K*H)*P - P[22][22] = P[22][22] - Kfusion[22] * H_RNG[22] * P[22][22]; - P[22][22] = ConstrainFloat(P[22][22], 0.0f, 10000.0f); + // loop through the X and Y observations and fuse them sequentially + for (uint8_t obsIndex = 0; obsIndex < 2; obsIndex++) { + // Check the innovation for consistency and don't fuse if > 5Sigma + if ((innovOptFlow[obsIndex]*innovOptFlow[obsIndex]/varInnovOptFlow[obsIndex]) < 25.0f) { + // correct the state vector + for (uint8_t j = 0; j < n_states; j++) + { + states[j] = states[j] - K_LOS[obsIndex][j] * innovOptFlow[obsIndex]; + } + // normalise the quaternion states + float quatMag = sqrt(states[0]*states[0] + states[1]*states[1] + states[2]*states[2] + states[3]*states[3]); + if (quatMag > 1e-12f) + { + for (uint8_t j= 0; j<=3; j++) + { + float quatMagInv = 1.0f/quatMag; + states[j] = states[j] * quatMagInv; + } + } + // correct the covariance P = (I - K*H)*P + // take advantage of the empty columns in KH to reduce the + // number of operations + for (uint8_t i = 0; i < n_states; i++) + { + for (uint8_t j = 0; j <= 6; j++) + { + KH[i][j] = K_LOS[obsIndex][i] * H_LOS[obsIndex][j]; + } + for (uint8_t j = 7; j <= 8; j++) + { + KH[i][j] = 0.0f; + } + KH[i][9] = K_LOS[obsIndex][i] * H_LOS[obsIndex][9]; + for (uint8_t j = 10; j < n_states; j++) + { + KH[i][j] = 0.0f; + } + } + for (uint8_t i = 0; i < n_states; i++) + { + for (uint8_t j = 0; j < n_states; j++) + { + KHP[i][j] = 0.0f; + for (uint8_t k = 0; k <= 6; k++) + { + KHP[i][j] = KHP[i][j] + KH[i][k] * P[k][j]; + } + KHP[i][j] = KHP[i][j] + KH[i][9] * P[9][j]; + } + } + for (uint8_t i = 0; i < n_states; i++) + { + for (uint8_t j = 0; j < n_states; j++) + { + P[i][j] = P[i][j] - KHP[i][j]; + } + } + } } + ForceSymmetry(); + ConstrainVariances(); } - -} - -void AttPosEKF::FuseOptFlow() -{ -// static uint8_t obsIndex; -// static float SH_LOS[13]; -// static float SKK_LOS[15]; -// static float SK_LOS[2]; -// static float q0 = 0.0f; -// static float q1 = 0.0f; -// static float q2 = 0.0f; -// static float q3 = 1.0f; -// static float vn = 0.0f; -// static float ve = 0.0f; -// static float vd = 0.0f; -// static float pd = 0.0f; -// static float ptd = 0.0f; -// static float R_LOS = 0.01f; -// static float losPred[2]; - -// // Transformation matrix from nav to body axes -// Mat3f Tnb_local; -// // Transformation matrix from body to sensor axes -// // assume camera is aligned with Z body axis plus a misalignment -// // defined by 3 small angles about X, Y and Z body axis -// Mat3f Tbs; -// Tbs.x.y = a3; -// Tbs.y.x = -a3; -// Tbs.x.z = -a2; -// Tbs.z.x = a2; -// Tbs.y.z = a1; -// Tbs.z.y = -a1; -// // Transformation matrix from navigation to sensor axes -// Mat3f Tns; -// float H_LOS[n_states]; -// for (uint8_t i = 0; i < n_states; i++) { -// H_LOS[i] = 0.0f; -// } -// Vector3f velNED_local; -// Vector3f relVelSensor; - -// // Perform sequential fusion of optical flow measurements only when in the air and tilt is less than 30 deg. -// if (useOpticalFlow && (fuseOptFlowData || obsIndex == 1) && !onGround && Tbs.z.z > 0.866f && rngMea > 5.0f && rngMea < 39.0f) -// { -// // Sequential fusion of XY components to spread processing load across -// // two prediction time steps. - -// // Calculate observation jacobians and Kalman gains -// if (fuseOptFlowData) -// { -// // Copy required states to local variable names -// q0 = statesAtOptFlowTime[0]; -// q1 = statesAtOptFlowTime[1]; -// q2 = statesAtOptFlowTime[2]; -// q3 = statesAtOptFlowTime[3]; -// vn = statesAtOptFlowTime[4]; -// ve = statesAtOptFlowTime[5]; -// vd = statesAtOptFlowTime[6]; -// pd = statesAtOptFlowTime[9]; -// ptd = statesAtOptFlowTime[22]; -// velNED_local.x = vn; -// velNED_local.y = ve; -// velNED_local.z = vd; - -// // calculate rotation from NED to body axes -// float q00 = sq(q0); -// float q11 = sq(q1); -// float q22 = sq(q2); -// float q33 = sq(q3); -// float q01 = q0 * q1; -// float q02 = q0 * q2; -// float q03 = q0 * q3; -// float q12 = q1 * q2; -// float q13 = q1 * q3; -// float q23 = q2 * q3; -// Tnb_local.x.x = q00 + q11 - q22 - q33; -// Tnb_local.y.y = q00 - q11 + q22 - q33; -// Tnb_local.z.z = q00 - q11 - q22 + q33; -// Tnb_local.y.x = 2*(q12 - q03); -// Tnb_local.z.x = 2*(q13 + q02); -// Tnb_local.x.y = 2*(q12 + q03); -// Tnb_local.z.y = 2*(q23 - q01); -// Tnb_local.x.z = 2*(q13 - q02); -// Tnb_local.y.z = 2*(q23 + q01); - -// // calculate transformation from NED to sensor axes -// Tns = Tbs*Tnb_local; - -// // calculate range from ground plain to centre of sensor fov assuming flat earth -// float range = ConstrainFloat(((ptd - pd)/Tns.z.z),0.5f,100.0f); - -// // calculate relative velocity in sensor frame -// relVelSensor = Tns*velNED_local; - -// // divide velocity by range and include angular rate effects to get predicted angular LOS rates relative to X and Y axes -// losPred[0] = relVelSensor.y/range; -// losPred[1] = -relVelSensor.x/range; - -// //printf("relVelSensor.x=%5.1f, relVelSensor.y=%5.1f\n", relVelSensor.x, relVelSensor.y); -// //printf("Xpred=%5.2f, Xmea=%5.2f, Ypred=%5.2f, Ymea=%5.2f, delAng.x=%4.4f, delAng.y=%4.4f\n", losPred[0], losData[0], losPred[1], losData[1], delAng.x, delAng.y); -// //printf("omegaX=%5.2f, omegaY=%5.2f, velY=%5.1f velX=%5.1f\n, range=%5.1f\n", delAngRel.x/dt, delAngRel.y/dt, relVelSensor.y, relVelSensor.x, range); - -// // Calculate observation jacobians -// SH_LOS[0] = a1*(2*q0*q1 + 2*q2*q3) + a2*(2*q0*q2 - 2*q1*q3) - sq(q0) + sq(q1) + sq(q2) - sq(q3); -// SH_LOS[1] = vd*(a2*(sq(q0) - sq(q1) - sq(q2) + sq(q3)) + 2*q0*q2 - 2*q1*q3 - a3*(2*q0*q1 + 2*q2*q3)) - ve*(a3*(sq(q0) - sq(q1) + sq(q2) - sq(q3)) + 2*q0*q3 + 2*q1*q2 + a2*(2*q0*q1 - 2*q2*q3)) + vn*(a2*(2*q0*q2 + 2*q1*q3) + a3*(2*q0*q3 - 2*q1*q2) - sq(q0) - sq(q1) + sq(q2) + sq(q3)); -// SH_LOS[2] = ve*(a1*(2*q0*q1 - 2*q2*q3) + a3*(2*q0*q3 + 2*q1*q2) - sq(q0) + sq(q1) - sq(q2) + sq(q3)) - vd*(a1*(sq(q0) - sq(q1) - sq(q2) + sq(q3)) + 2*q0*q1 + 2*q2*q3 + a3*(2*q0*q2 - 2*q1*q3)) + vn*(a3*(sq(q0) + sq(q1) - sq(q2) - sq(q3)) + 2*q0*q3 - 2*q1*q2 - a1*(2*q0*q2 + 2*q1*q3)); -// SH_LOS[3] = 1/(pd - ptd); -// SH_LOS[4] = 2*q1 - 2*a2*q3 + 2*a3*q2; -// SH_LOS[5] = 2*a2*q2 - 2*q0 + 2*a3*q3; -// SH_LOS[6] = 2*q2 + 2*a2*q0 - 2*a3*q1; -// SH_LOS[7] = 1/sq(pd - ptd); -// SH_LOS[8] = 2*q2 + 2*a1*q3 - 2*a3*q1; -// SH_LOS[9] = 2*q3 - 2*a1*q2 + 2*a3*q0; -// SH_LOS[10] = 2*a1*q1 - 2*q0 + 2*a3*q3; -// SH_LOS[11] = 2*q3 + 2*a2*q1 + 2*a3*q0; -// SH_LOS[12] = 2*q1 + 2*a1*q0 + 2*a3*q2; - -// for (uint8_t i = 0; i < n_states; i++) H_LOS[i] = 0; -// H_LOS[0] = - SH_LOS[2]*SH_LOS[3]*(2*a1*q1 - 2*q0 + 2*a2*q2) - SH_LOS[0]*SH_LOS[3]*(ve*SH_LOS[10] - vd*SH_LOS[12] + vn*SH_LOS[9]); -// H_LOS[1] = - SH_LOS[2]*SH_LOS[3]*(2*q1 + 2*a1*q0 - 2*a2*q3) - SH_LOS[0]*SH_LOS[3]*(vd*SH_LOS[10] + ve*SH_LOS[12] - vn*SH_LOS[8]); -// H_LOS[2] = SH_LOS[0]*SH_LOS[3]*(vd*SH_LOS[9] + ve*SH_LOS[8] + vn*SH_LOS[12]) - SH_LOS[2]*SH_LOS[3]*(2*q2 + 2*a2*q0 + 2*a1*q3); -// H_LOS[3] = SH_LOS[2]*SH_LOS[3]*(2*q3 - 2*a1*q2 + 2*a2*q1) + SH_LOS[0]*SH_LOS[3]*(vd*SH_LOS[8] - ve*SH_LOS[9] + vn*SH_LOS[10]); -// H_LOS[4] = -SH_LOS[0]*SH_LOS[3]*(a3*(sq(q0) + sq(q1) - sq(q2) - sq(q3)) + 2*q0*q3 - 2*q1*q2 - a1*(2*q0*q2 + 2*q1*q3)); -// H_LOS[5] = -SH_LOS[0]*SH_LOS[3]*(a1*(2*q0*q1 - 2*q2*q3) + a3*(2*q0*q3 + 2*q1*q2) - sq(q0) + sq(q1) - sq(q2) + sq(q3)); -// H_LOS[6] = SH_LOS[0]*SH_LOS[3]*(a1*(sq(q0) - sq(q1) - sq(q2) + sq(q3)) + 2*q0*q1 + 2*q2*q3 + a3*(2*q0*q2 - 2*q1*q3)); -// H_LOS[9] = SH_LOS[0]*SH_LOS[2]*SH_LOS[7]; -// H_LOS[22] = -SH_LOS[0]*SH_LOS[2]*SH_LOS[7]; - -// // Calculate Kalman gain -// SKK_LOS[0] = a2*(sq(q0) - sq(q1) - sq(q2) + sq(q3)) + 2*q0*q2 - 2*q1*q3 - a3*(2*q0*q1 + 2*q2*q3); -// SKK_LOS[1] = a3*(sq(q0) - sq(q1) + sq(q2) - sq(q3)) + 2*q0*q3 + 2*q1*q2 + a2*(2*q0*q1 - 2*q2*q3); -// SKK_LOS[2] = a2*(2*q0*q2 + 2*q1*q3) + a3*(2*q0*q3 - 2*q1*q2) - sq(q0) - sq(q1) + sq(q2) + sq(q3); -// SKK_LOS[3] = a1*(sq(q0) - sq(q1) - sq(q2) + sq(q3)) + 2*q0*q1 + 2*q2*q3 + a3*(2*q0*q2 - 2*q1*q3); -// SKK_LOS[4] = a1*(2*q0*q1 - 2*q2*q3) + a3*(2*q0*q3 + 2*q1*q2) - sq(q0) + sq(q1) - sq(q2) + sq(q3); -// SKK_LOS[5] = a3*(sq(q0) + sq(q1) - sq(q2) - sq(q3)) + 2*q0*q3 - 2*q1*q2 - a1*(2*q0*q2 + 2*q1*q3); -// SKK_LOS[6] = SH_LOS[2]*SH_LOS[3]*(2*q3 - 2*a1*q2 + 2*a2*q1) + SH_LOS[0]*SH_LOS[3]*(vd*SH_LOS[8] - ve*SH_LOS[9] + vn*SH_LOS[10]); -// SKK_LOS[7] = SH_LOS[2]*SH_LOS[3]*(2*q1 + 2*a1*q0 - 2*a2*q3) + SH_LOS[0]*SH_LOS[3]*(vd*SH_LOS[10] + ve*SH_LOS[12] - vn*SH_LOS[8]); -// SKK_LOS[8] = SH_LOS[2]*SH_LOS[3]*(2*a1*q1 - 2*q0 + 2*a2*q2) + SH_LOS[0]*SH_LOS[3]*(ve*SH_LOS[10] - vd*SH_LOS[12] + vn*SH_LOS[9]); -// SKK_LOS[9] = SH_LOS[2]*SH_LOS[3]*(2*q2 + 2*a2*q0 + 2*a1*q3) - SH_LOS[0]*SH_LOS[3]*(vd*SH_LOS[9] + ve*SH_LOS[8] + vn*SH_LOS[12]); -// SKK_LOS[10] = SH_LOS[1]*SH_LOS[3]*(2*a1*q1 - 2*q0 + 2*a2*q2) + SH_LOS[0]*SH_LOS[3]*(vd*SH_LOS[6] - ve*SH_LOS[11] + vn*SH_LOS[5]); -// SKK_LOS[11] = SH_LOS[1]*SH_LOS[3]*(2*q1 + 2*a1*q0 - 2*a2*q3) - SH_LOS[0]*SH_LOS[3]*(vd*SH_LOS[11] + ve*SH_LOS[6] + vn*SH_LOS[4]); -// SKK_LOS[12] = SH_LOS[1]*SH_LOS[3]*(2*q2 + 2*a2*q0 + 2*a1*q3) - SH_LOS[0]*SH_LOS[3]*(vd*SH_LOS[5] + ve*SH_LOS[4] - vn*SH_LOS[6]); -// SKK_LOS[13] = SH_LOS[1]*SH_LOS[3]*(2*q3 - 2*a1*q2 + 2*a2*q1) - SH_LOS[0]*SH_LOS[3]*(ve*SH_LOS[5] - vd*SH_LOS[4] + vn*SH_LOS[11]); -// SKK_LOS[14] = SH_LOS[0]; - -// SK_LOS[0] = 1/(R_LOS + SKK_LOS[8]*(P[0][0]*SKK_LOS[8] + P[1][0]*SKK_LOS[7] + P[2][0]*SKK_LOS[9] - P[3][0]*SKK_LOS[6] - P[9][0]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[22][0]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[4][0]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[5][0]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[6][0]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]) + SKK_LOS[7]*(P[0][1]*SKK_LOS[8] + P[1][1]*SKK_LOS[7] + P[2][1]*SKK_LOS[9] - P[3][1]*SKK_LOS[6] - P[9][1]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[22][1]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[4][1]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[5][1]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[6][1]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]) + SKK_LOS[9]*(P[0][2]*SKK_LOS[8] + P[1][2]*SKK_LOS[7] + P[2][2]*SKK_LOS[9] - P[3][2]*SKK_LOS[6] - P[9][2]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[22][2]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[4][2]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[5][2]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[6][2]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]) - SKK_LOS[6]*(P[0][3]*SKK_LOS[8] + P[1][3]*SKK_LOS[7] + P[2][3]*SKK_LOS[9] - P[3][3]*SKK_LOS[6] - P[9][3]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[22][3]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[4][3]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[5][3]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[6][3]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]) - SH_LOS[2]*SH_LOS[7]*SKK_LOS[14]*(P[0][9]*SKK_LOS[8] + P[1][9]*SKK_LOS[7] + P[2][9]*SKK_LOS[9] - P[3][9]*SKK_LOS[6] - P[9][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[22][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[4][9]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[5][9]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[6][9]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]) + SH_LOS[2]*SH_LOS[7]*SKK_LOS[14]*(P[0][22]*SKK_LOS[8] + P[1][22]*SKK_LOS[7] + P[2][22]*SKK_LOS[9] - P[3][22]*SKK_LOS[6] - P[9][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[22][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[4][22]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[5][22]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[6][22]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]) + SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14]*(P[0][4]*SKK_LOS[8] + P[1][4]*SKK_LOS[7] + P[2][4]*SKK_LOS[9] - P[3][4]*SKK_LOS[6] - P[9][4]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[22][4]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[4][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[5][4]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[6][4]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]) + SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14]*(P[0][5]*SKK_LOS[8] + P[1][5]*SKK_LOS[7] + P[2][5]*SKK_LOS[9] - P[3][5]*SKK_LOS[6] - P[9][5]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[22][5]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[4][5]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[5][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[6][5]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]) - SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]*(P[0][6]*SKK_LOS[8] + P[1][6]*SKK_LOS[7] + P[2][6]*SKK_LOS[9] - P[3][6]*SKK_LOS[6] - P[9][6]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[22][6]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[4][6]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[5][6]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[6][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14])); -// Kfusion[0] = -SK_LOS[0]*(P[0][0]*SKK_LOS[8] + P[0][1]*SKK_LOS[7] - P[0][3]*SKK_LOS[6] + P[0][2]*SKK_LOS[9] - P[0][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[0][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[0][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[0][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[0][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[1] = -SK_LOS[0]*(P[1][0]*SKK_LOS[8] + P[1][1]*SKK_LOS[7] - P[1][3]*SKK_LOS[6] + P[1][2]*SKK_LOS[9] - P[1][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[1][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[1][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[1][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[1][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[2] = -SK_LOS[0]*(P[2][0]*SKK_LOS[8] + P[2][1]*SKK_LOS[7] - P[2][3]*SKK_LOS[6] + P[2][2]*SKK_LOS[9] - P[2][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[2][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[2][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[2][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[2][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[3] = -SK_LOS[0]*(P[3][0]*SKK_LOS[8] + P[3][1]*SKK_LOS[7] - P[3][3]*SKK_LOS[6] + P[3][2]*SKK_LOS[9] - P[3][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[3][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[3][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[3][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[3][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[4] = -SK_LOS[0]*(P[4][0]*SKK_LOS[8] + P[4][1]*SKK_LOS[7] - P[4][3]*SKK_LOS[6] + P[4][2]*SKK_LOS[9] - P[4][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[4][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[4][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[4][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[4][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[5] = -SK_LOS[0]*(P[5][0]*SKK_LOS[8] + P[5][1]*SKK_LOS[7] - P[5][3]*SKK_LOS[6] + P[5][2]*SKK_LOS[9] - P[5][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[5][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[5][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[5][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[5][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[6] = -SK_LOS[0]*(P[6][0]*SKK_LOS[8] + P[6][1]*SKK_LOS[7] - P[6][3]*SKK_LOS[6] + P[6][2]*SKK_LOS[9] - P[6][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[6][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[6][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[6][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[6][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[7] = -SK_LOS[0]*(P[7][0]*SKK_LOS[8] + P[7][1]*SKK_LOS[7] - P[7][3]*SKK_LOS[6] + P[7][2]*SKK_LOS[9] - P[7][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[7][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[7][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[7][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[7][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[8] = -SK_LOS[0]*(P[8][0]*SKK_LOS[8] + P[8][1]*SKK_LOS[7] - P[8][3]*SKK_LOS[6] + P[8][2]*SKK_LOS[9] - P[8][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[8][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[8][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[8][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[8][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[9] = -SK_LOS[0]*(P[9][0]*SKK_LOS[8] + P[9][1]*SKK_LOS[7] - P[9][3]*SKK_LOS[6] + P[9][2]*SKK_LOS[9] - P[9][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[9][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[9][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[9][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[9][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[10] = -SK_LOS[0]*(P[10][0]*SKK_LOS[8] + P[10][1]*SKK_LOS[7] - P[10][3]*SKK_LOS[6] + P[10][2]*SKK_LOS[9] - P[10][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[10][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[10][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[10][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[10][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[11] = -SK_LOS[0]*(P[11][0]*SKK_LOS[8] + P[11][1]*SKK_LOS[7] - P[11][3]*SKK_LOS[6] + P[11][2]*SKK_LOS[9] - P[11][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[11][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[11][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[11][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[11][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[12] = -SK_LOS[0]*(P[12][0]*SKK_LOS[8] + P[12][1]*SKK_LOS[7] - P[12][3]*SKK_LOS[6] + P[12][2]*SKK_LOS[9] - P[12][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[12][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[12][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[12][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[12][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[13] = 0.0f;//-SK_LOS[0]*(P[13][0]*SKK_LOS[8] + P[13][1]*SKK_LOS[7] - P[13][3]*SKK_LOS[6] + P[13][2]*SKK_LOS[9] - P[13][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[13][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[13][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[13][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[13][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[14] = -SK_LOS[0]*(P[14][0]*SKK_LOS[8] + P[14][1]*SKK_LOS[7] - P[14][3]*SKK_LOS[6] + P[14][2]*SKK_LOS[9] - P[14][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[14][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[14][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[14][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[14][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[15] = -SK_LOS[0]*(P[15][0]*SKK_LOS[8] + P[15][1]*SKK_LOS[7] - P[15][3]*SKK_LOS[6] + P[15][2]*SKK_LOS[9] - P[15][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[15][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[15][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[15][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[15][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[16] = -SK_LOS[0]*(P[16][0]*SKK_LOS[8] + P[16][1]*SKK_LOS[7] - P[16][3]*SKK_LOS[6] + P[16][2]*SKK_LOS[9] - P[16][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[16][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[16][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[16][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[16][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[17] = -SK_LOS[0]*(P[17][0]*SKK_LOS[8] + P[17][1]*SKK_LOS[7] - P[17][3]*SKK_LOS[6] + P[17][2]*SKK_LOS[9] - P[17][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[17][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[17][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[17][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[17][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[18] = -SK_LOS[0]*(P[18][0]*SKK_LOS[8] + P[18][1]*SKK_LOS[7] - P[18][3]*SKK_LOS[6] + P[18][2]*SKK_LOS[9] - P[18][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[18][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[18][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[18][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[18][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[19] = -SK_LOS[0]*(P[19][0]*SKK_LOS[8] + P[19][1]*SKK_LOS[7] - P[19][3]*SKK_LOS[6] + P[19][2]*SKK_LOS[9] - P[19][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[19][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[19][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[19][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[19][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[20] = -SK_LOS[0]*(P[20][0]*SKK_LOS[8] + P[20][1]*SKK_LOS[7] - P[20][3]*SKK_LOS[6] + P[20][2]*SKK_LOS[9] - P[20][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[20][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[20][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[20][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[20][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[21] = -SK_LOS[0]*(P[21][0]*SKK_LOS[8] + P[21][1]*SKK_LOS[7] - P[21][3]*SKK_LOS[6] + P[21][2]*SKK_LOS[9] - P[21][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[21][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[21][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[21][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[21][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// Kfusion[22] = -SK_LOS[0]*(P[22][0]*SKK_LOS[8] + P[22][1]*SKK_LOS[7] - P[22][3]*SKK_LOS[6] + P[22][2]*SKK_LOS[9] - P[22][9]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[22][22]*SH_LOS[2]*SH_LOS[7]*SKK_LOS[14] + P[22][4]*SH_LOS[3]*SKK_LOS[5]*SKK_LOS[14] + P[22][5]*SH_LOS[3]*SKK_LOS[4]*SKK_LOS[14] - P[22][6]*SH_LOS[3]*SKK_LOS[3]*SKK_LOS[14]); -// varInnovOptFlow[0] = 1.0f/SK_LOS[0]; -// innovOptFlow[0] = losPred[0] - losData[0]; - -// // set the observation index to 1 to fuse the y component next time round and reset the commence fusion flag -// obsIndex = 1; -// fuseOptFlowData = false; -// } -// else if (obsIndex == 1) // we are now fusing the Y measurement -// { -// // Calculate observation jacobians -// for (uint8_t i = 0; i < n_states; i++) H_LOS[i] = 0; -// H_LOS[0] = SH_LOS[1]*SH_LOS[3]*(2*a1*q1 - 2*q0 + 2*a2*q2) + SH_LOS[0]*SH_LOS[3]*(vd*SH_LOS[6] - ve*SH_LOS[11] + vn*SH_LOS[5]); -// H_LOS[1] = SH_LOS[1]*SH_LOS[3]*(2*q1 + 2*a1*q0 - 2*a2*q3) - SH_LOS[0]*SH_LOS[3]*(vd*SH_LOS[11] + ve*SH_LOS[6] + vn*SH_LOS[4]); -// H_LOS[2] = SH_LOS[1]*SH_LOS[3]*(2*q2 + 2*a2*q0 + 2*a1*q3) - SH_LOS[0]*SH_LOS[3]*(vd*SH_LOS[5] + ve*SH_LOS[4] - vn*SH_LOS[6]); -// H_LOS[3] = SH_LOS[0]*SH_LOS[3]*(ve*SH_LOS[5] - vd*SH_LOS[4] + vn*SH_LOS[11]) - SH_LOS[1]*SH_LOS[3]*(2*q3 - 2*a1*q2 + 2*a2*q1); -// H_LOS[4] = SH_LOS[0]*SH_LOS[3]*(a2*(2*q0*q2 + 2*q1*q3) + a3*(2*q0*q3 - 2*q1*q2) - sq(q0) - sq(q1) + sq(q2) + sq(q3)); -// H_LOS[5] = -SH_LOS[0]*SH_LOS[3]*(a3*(sq(q0) - sq(q1) + sq(q2) - sq(q3)) + 2*q0*q3 + 2*q1*q2 + a2*(2*q0*q1 - 2*q2*q3)); -// H_LOS[6] = SH_LOS[0]*SH_LOS[3]*(a2*(sq(q0) - sq(q1) - sq(q2) + sq(q3)) + 2*q0*q2 - 2*q1*q3 - a3*(2*q0*q1 + 2*q2*q3)); -// H_LOS[9] = -SH_LOS[0]*SH_LOS[1]*SH_LOS[7]; -// H_LOS[22] = SH_LOS[0]*SH_LOS[1]*SH_LOS[7]; - -// // Calculate Kalman gains -// SK_LOS[1] = 1/(R_LOS + SKK_LOS[12]*(P[0][2]*SKK_LOS[10] + P[1][2]*SKK_LOS[11] + P[2][2]*SKK_LOS[12] - P[3][2]*SKK_LOS[13] - P[9][2]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[22][2]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[4][2]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[5][2]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14] + P[6][2]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14]) - SKK_LOS[13]*(P[0][3]*SKK_LOS[10] + P[1][3]*SKK_LOS[11] + P[2][3]*SKK_LOS[12] - P[3][3]*SKK_LOS[13] - P[9][3]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[22][3]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[4][3]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[5][3]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14] + P[6][3]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14]) + SKK_LOS[10]*(P[0][0]*SKK_LOS[10] + P[1][0]*SKK_LOS[11] + P[2][0]*(SH_LOS[1]*SH_LOS[3]*(2*q2 + 2*a2*q0 + 2*a1*q3) - SH_LOS[3]*SKK_LOS[14]*(vd*SH_LOS[5] + ve*SH_LOS[4] - vn*SH_LOS[6])) - P[3][0]*(SH_LOS[1]*SH_LOS[3]*(2*q3 - 2*a1*q2 + 2*a2*q1) - SH_LOS[3]*SKK_LOS[14]*(ve*SH_LOS[5] - vd*SH_LOS[4] + vn*SH_LOS[11])) - P[9][0]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[22][0]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[4][0]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[5][0]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14] + P[6][0]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14]) + SKK_LOS[11]*(P[0][1]*SKK_LOS[10] + P[1][1]*SKK_LOS[11] + P[2][1]*(SH_LOS[1]*SH_LOS[3]*(2*q2 + 2*a2*q0 + 2*a1*q3) - SH_LOS[3]*SKK_LOS[14]*(vd*SH_LOS[5] + ve*SH_LOS[4] - vn*SH_LOS[6])) - P[3][1]*(SH_LOS[1]*SH_LOS[3]*(2*q3 - 2*a1*q2 + 2*a2*q1) - SH_LOS[3]*SKK_LOS[14]*(ve*SH_LOS[5] - vd*SH_LOS[4] + vn*SH_LOS[11])) - P[9][1]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[22][1]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[4][1]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[5][1]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14] + P[6][1]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14]) - SH_LOS[1]*SH_LOS[7]*SKK_LOS[14]*(P[0][9]*SKK_LOS[10] + P[1][9]*SKK_LOS[11] + P[2][9]*SKK_LOS[12] - P[3][9]*SKK_LOS[13] - P[9][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[22][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[4][9]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[5][9]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14] + P[6][9]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14]) + SH_LOS[1]*SH_LOS[7]*SKK_LOS[14]*(P[0][22]*SKK_LOS[10] + P[1][22]*SKK_LOS[11] + P[2][22]*SKK_LOS[12] - P[3][22]*SKK_LOS[13] - P[9][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[22][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[4][22]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[5][22]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14] + P[6][22]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14]) + SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14]*(P[0][4]*SKK_LOS[10] + P[1][4]*SKK_LOS[11] + P[2][4]*SKK_LOS[12] - P[3][4]*SKK_LOS[13] - P[9][4]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[22][4]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[4][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[5][4]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14] + P[6][4]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14]) - SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]*(P[0][5]*SKK_LOS[10] + P[1][5]*SKK_LOS[11] + P[2][5]*SKK_LOS[12] - P[3][5]*SKK_LOS[13] - P[9][5]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[22][5]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[4][5]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[5][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14] + P[6][5]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14]) + SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14]*(P[0][6]*SKK_LOS[10] + P[1][6]*SKK_LOS[11] + P[2][6]*SKK_LOS[12] - P[3][6]*SKK_LOS[13] - P[9][6]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[22][6]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[4][6]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[5][6]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14] + P[6][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14])); -// Kfusion[0] = SK_LOS[1]*(P[0][0]*SKK_LOS[10] - P[0][3]*SKK_LOS[13] + P[0][1]*SKK_LOS[11] + P[0][2]*SKK_LOS[12] - P[0][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[0][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[0][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[0][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[0][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[1] = SK_LOS[1]*(P[1][0]*SKK_LOS[10] - P[1][3]*SKK_LOS[13] + P[1][1]*SKK_LOS[11] + P[1][2]*SKK_LOS[12] - P[1][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[1][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[1][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[1][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[1][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[2] = SK_LOS[1]*(P[2][0]*SKK_LOS[10] - P[2][3]*SKK_LOS[13] + P[2][1]*SKK_LOS[11] + P[2][2]*SKK_LOS[12] - P[2][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[2][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[2][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[2][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[2][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[3] = SK_LOS[1]*(P[3][0]*SKK_LOS[10] - P[3][3]*SKK_LOS[13] + P[3][1]*SKK_LOS[11] + P[3][2]*SKK_LOS[12] - P[3][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[3][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[3][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[3][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[3][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[4] = SK_LOS[1]*(P[4][0]*SKK_LOS[10] - P[4][3]*SKK_LOS[13] + P[4][1]*SKK_LOS[11] + P[4][2]*SKK_LOS[12] - P[4][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[4][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[4][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[4][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[4][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[5] = SK_LOS[1]*(P[5][0]*SKK_LOS[10] - P[5][3]*SKK_LOS[13] + P[5][1]*SKK_LOS[11] + P[5][2]*SKK_LOS[12] - P[5][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[5][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[5][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[5][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[5][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[6] = SK_LOS[1]*(P[6][0]*SKK_LOS[10] - P[6][3]*SKK_LOS[13] + P[6][1]*SKK_LOS[11] + P[6][2]*SKK_LOS[12] - P[6][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[6][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[6][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[6][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[6][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[7] = SK_LOS[1]*(P[7][0]*SKK_LOS[10] - P[7][3]*SKK_LOS[13] + P[7][1]*SKK_LOS[11] + P[7][2]*SKK_LOS[12] - P[7][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[7][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[7][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[7][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[7][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[8] = SK_LOS[1]*(P[8][0]*SKK_LOS[10] - P[8][3]*SKK_LOS[13] + P[8][1]*SKK_LOS[11] + P[8][2]*SKK_LOS[12] - P[8][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[8][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[8][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[8][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[8][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[9] = SK_LOS[1]*(P[9][0]*SKK_LOS[10] - P[9][3]*SKK_LOS[13] + P[9][1]*SKK_LOS[11] + P[9][2]*SKK_LOS[12] - P[9][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[9][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[9][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[9][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[9][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[10] = SK_LOS[1]*(P[10][0]*SKK_LOS[10] - P[10][3]*SKK_LOS[13] + P[10][1]*SKK_LOS[11] + P[10][2]*SKK_LOS[12] - P[10][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[10][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[10][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[10][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[10][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[11] = SK_LOS[1]*(P[11][0]*SKK_LOS[10] - P[11][3]*SKK_LOS[13] + P[11][1]*SKK_LOS[11] + P[11][2]*SKK_LOS[12] - P[11][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[11][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[11][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[11][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[11][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[12] = SK_LOS[1]*(P[12][0]*SKK_LOS[10] - P[12][3]*SKK_LOS[13] + P[12][1]*SKK_LOS[11] + P[12][2]*SKK_LOS[12] - P[12][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[12][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[12][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[12][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[12][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[13] = 0.0f;//SK_LOS[1]*(P[13][0]*SKK_LOS[10] - P[13][3]*SKK_LOS[13] + P[13][1]*SKK_LOS[11] + P[13][2]*SKK_LOS[12] - P[13][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[13][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[13][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[13][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[13][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[14] = SK_LOS[1]*(P[14][0]*SKK_LOS[10] - P[14][3]*SKK_LOS[13] + P[14][1]*SKK_LOS[11] + P[14][2]*SKK_LOS[12] - P[14][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[14][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[14][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[14][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[14][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[15] = SK_LOS[1]*(P[15][0]*SKK_LOS[10] - P[15][3]*SKK_LOS[13] + P[15][1]*SKK_LOS[11] + P[15][2]*SKK_LOS[12] - P[15][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[15][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[15][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[15][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[15][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[16] = SK_LOS[1]*(P[16][0]*SKK_LOS[10] - P[16][3]*SKK_LOS[13] + P[16][1]*SKK_LOS[11] + P[16][2]*SKK_LOS[12] - P[16][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[16][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[16][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[16][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[16][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[17] = SK_LOS[1]*(P[17][0]*SKK_LOS[10] - P[17][3]*SKK_LOS[13] + P[17][1]*SKK_LOS[11] + P[17][2]*SKK_LOS[12] - P[17][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[17][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[17][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[17][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[17][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[18] = SK_LOS[1]*(P[18][0]*SKK_LOS[10] - P[18][3]*SKK_LOS[13] + P[18][1]*SKK_LOS[11] + P[18][2]*SKK_LOS[12] - P[18][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[18][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[18][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[18][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[18][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[19] = SK_LOS[1]*(P[19][0]*SKK_LOS[10] - P[19][3]*SKK_LOS[13] + P[19][1]*SKK_LOS[11] + P[19][2]*SKK_LOS[12] - P[19][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[19][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[19][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[19][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[19][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[20] = SK_LOS[1]*(P[20][0]*SKK_LOS[10] - P[20][3]*SKK_LOS[13] + P[20][1]*SKK_LOS[11] + P[20][2]*SKK_LOS[12] - P[20][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[20][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[20][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[20][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[20][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[21] = SK_LOS[1]*(P[21][0]*SKK_LOS[10] - P[21][3]*SKK_LOS[13] + P[21][1]*SKK_LOS[11] + P[21][2]*SKK_LOS[12] - P[21][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[21][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[21][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[21][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[21][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// Kfusion[22] = SK_LOS[1]*(P[22][0]*SKK_LOS[10] - P[22][3]*SKK_LOS[13] + P[22][1]*SKK_LOS[11] + P[22][2]*SKK_LOS[12] - P[22][9]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[22][22]*SH_LOS[1]*SH_LOS[7]*SKK_LOS[14] + P[22][6]*SH_LOS[3]*SKK_LOS[0]*SKK_LOS[14] + P[22][4]*SH_LOS[3]*SKK_LOS[2]*SKK_LOS[14] - P[22][5]*SH_LOS[3]*SKK_LOS[1]*SKK_LOS[14]); -// varInnovOptFlow[1] = 1.0f/SK_LOS[1]; -// innovOptFlow[1] = losPred[1] - losData[1]; - -// // reset the observation index -// obsIndex = 0; -// fuseOptFlowData = false; -// } - -// // Check the innovation for consistency and don't fuse if > 3Sigma -// if ((innovOptFlow[obsIndex]*innovOptFlow[obsIndex]/varInnovOptFlow[obsIndex]) < 9.0f) -// { -// // correct the state vector -// for (uint8_t j = 0; j < n_states; j++) -// { -// states[j] = states[j] - Kfusion[j] * innovOptFlow[obsIndex]; -// } -// // normalise the quaternion states -// float quatMag = sqrt(states[0]*states[0] + states[1]*states[1] + states[2]*states[2] + states[3]*states[3]); -// if (quatMag > 1e-12f) -// { -// for (uint8_t j= 0; j<=3; j++) -// { -// float quatMagInv = 1.0f/quatMag; -// states[j] = states[j] * quatMagInv; -// } -// } -// // correct the covariance P = (I - K*H)*P -// // take advantage of the empty columns in KH to reduce the -// // number of operations -// for (uint8_t i = 0; i < n_states; i++) -// { -// for (uint8_t j = 0; j <= 6; j++) -// { -// KH[i][j] = Kfusion[i] * H_LOS[j]; -// } -// for (uint8_t j = 7; j <= 8; j++) -// { -// KH[i][j] = 0.0f; -// } -// KH[i][9] = Kfusion[i] * H_LOS[9]; -// for (uint8_t j = 10; j <= 21; j++) -// { -// KH[i][j] = 0.0f; -// } -// KH[i][22] = Kfusion[i] * H_LOS[22]; -// } -// for (uint8_t i = 0; i < n_states; i++) -// { -// for (uint8_t j = 0; j < n_states; j++) -// { -// KHP[i][j] = 0.0f; -// for (uint8_t k = 0; k <= 6; k++) -// { -// KHP[i][j] = KHP[i][j] + KH[i][k] * P[k][j]; -// } -// KHP[i][j] = KHP[i][j] + KH[i][9] * P[9][j]; -// KHP[i][j] = KHP[i][j] + KH[i][22] * P[2][j]; -// } -// } -// } -// for (uint8_t i = 0; i < n_states; i++) -// { -// for (uint8_t j = 0; j < n_states; j++) -// { -// P[i][j] = P[i][j] - KHP[i][j]; -// } -// } -// ForceSymmetry(); -// ConstrainVariances(); -// } } /* @@ -2192,27 +2019,29 @@ Estimation of optical flow sensor focal length scale factor and terrain height u This fiter requires optical flow rates that are not motion compensated Range to ground measurement is assumed to be via a narrow beam type sensor - eg laser */ -void AttPosEKF::GroundEKF() +void AttPosEKF::OpticalFlowEKF() { // propagate ground position state noise each time this is called using the difference in position since the last observations and an RMS gradient assumption // limit distance to prevent intialisation afer bad gps causing bad numerical conditioning if (!inhibitGndState) { float distanceTravelledSq; - distanceTravelledSq = sq(statesAtRngTime[7] - prevPosN) + sq(statesAtRngTime[8] - prevPosE); - prevPosN = statesAtRngTime[7]; - prevPosE = statesAtRngTime[8]; + if (fuseRngData) { + distanceTravelledSq = sq(statesAtRngTime[7] - prevPosN) + sq(statesAtRngTime[8] - prevPosE); + prevPosN = statesAtRngTime[7]; + prevPosE = statesAtRngTime[8]; + } else if (fuseOptFlowData) { + distanceTravelledSq = sq(statesAtFlowTime[7] - prevPosN) + sq(statesAtFlowTime[8] - prevPosE); + prevPosN = statesAtFlowTime[7]; + prevPosE = statesAtFlowTime[8]; + } else { + return; + } distanceTravelledSq = min(distanceTravelledSq, 100.0f); Popt[1][1] += (distanceTravelledSq * sq(gndHgtSigma)); } - // we aren't using optical flow measurements in this hacked implementation so set the covariances for this state to zero to avoid numerical problems - Popt[0][0] = 0.0f; - Popt[0][1] = 0.0f; - Popt[1][0] = 0.0f; - // Fuse range finder data - // Need to check that our range finder tilt angle is less than 30 degrees - float cosRngTilt = - Tbn.z.x * sinf(rngFinderPitch) + Tbn.z.z * cosf(rngFinderPitch); - if (useRangeFinder && fuseRngData && cosRngTilt > 0.87f) { + // fuse range finder data + if (fuseRngData) { float range; // range from camera to centre of image float q0; // quaternion at optical flow measurement time float q1; // quaternion at optical flow measurement time @@ -2266,10 +2095,7 @@ void AttPosEKF::GroundEKF() flowStates[i] -= K_RNG[i] * innovRng; } // constrain the states - - // constrain focal length to 0.1 to 10 mm flowStates[0] = ConstrainFloat(flowStates[0], 0.1f, 10.0f); - // constrain altitude flowStates[1] = maxf(flowStates[1], statesAtRngTime[9] + minFlowRng); // correct the covariance matrix @@ -2285,6 +2111,132 @@ void AttPosEKF::GroundEKF() Popt[1][0] = Popt[0][1]; } } + + if (fuseOptFlowData) { + Vector3f vel; // velocity of sensor relative to ground in NED axes + Vector3f relVelSensor; // velocity of sensor relative to ground in sensor axes + float losPred[2]; // predicted optical flow angular rate measurements + float range; // range from camera to centre of image + float q0; // quaternion at optical flow measurement time + float q1; // quaternion at optical flow measurement time + float q2; // quaternion at optical flow measurement time + float q3; // quaternion at optical flow measurement time + float HP[2]; + float SH_OPT[6]; + float SK_OPT[3]; + float K_OPT[2][2]; + float H_OPT[2][2]; + float nextPopt[2][2]; + + // propagate scale factor state noise + if (!inhibitScaleState) { + Popt[0][0] += 1e-8f; + } else { + Popt[0][0] = 0.0f; + } + + // Copy required states to local variable names + q0 = statesAtFlowTime[0]; + q1 = statesAtFlowTime[1]; + q2 = statesAtFlowTime[2]; + q3 = statesAtFlowTime[3]; + vel.x = statesAtFlowTime[4]; + vel.y = statesAtFlowTime[5]; + vel.z = statesAtFlowTime[6]; + + // constrain terrain height to be below the vehicle + flowStates[1] = maxf(flowStates[1], statesAtFlowTime[9] + minFlowRng); + + // estimate range to centre of image + range = (flowStates[1] - statesAtFlowTime[9]) / Tnb_flow.z.z; + + // calculate relative velocity in sensor frame + relVelSensor = Tnb_flow * vel; + + // divide velocity by range, subtract body rates and apply scale factor to + // get predicted sensed angular optical rates relative to X and Y sensor axes + losPred[0] = flowStates[0]*( relVelSensor.y / range) - omegaAcrossFlowTime[0]; + losPred[1] = flowStates[0]*(-relVelSensor.x / range) - omegaAcrossFlowTime[1]; + + // calculate innovations + auxFlowObsInnov[0] = losPred[0] - flowRadXY[0]; + auxFlowObsInnov[1] = losPred[1] - flowRadXY[1]; + + // calculate Kalman gains + SH_OPT[0] = sq(q0) - sq(q1) - sq(q2) + sq(q3); + SH_OPT[1] = vel.x*(sq(q0) + sq(q1) - sq(q2) - sq(q3)) + vel.y*(2*q0*q3 + 2*q1*q2) - vel.z*(2*q0*q2 - 2*q1*q3); + SH_OPT[2] = vel.y*(sq(q0) - sq(q1) + sq(q2) - sq(q3)) - vel.x*(2*q0*q3 - 2*q1*q2) + vel.z*(2*q0*q1 + 2*q2*q3); + SH_OPT[3] = statesAtFlowTime[9] - flowStates[1]; + SH_OPT[4] = 1.0f/sq(SH_OPT[3]); + SH_OPT[5] = 1.0f/SH_OPT[3]; + float SH015 = SH_OPT[0]*SH_OPT[1]*SH_OPT[5]; + float SH025 = SH_OPT[0]*SH_OPT[2]*SH_OPT[5]; + float SH014 = SH_OPT[0]*SH_OPT[1]*SH_OPT[4]; + float SH024 = SH_OPT[0]*SH_OPT[2]*SH_OPT[4]; + SK_OPT[0] = 1.0f/(R_LOS + SH015*(Popt[0][0]*SH015 + Popt[1][0]*flowStates[0]*SH014) + flowStates[0]*SH014*(Popt[0][1]*SH015 + Popt[1][1]*flowStates[0]*SH014)); + SK_OPT[1] = 1.0f/(R_LOS + SH025*(Popt[0][0]*SH025 + Popt[1][0]*flowStates[0]*SH024) + flowStates[0]*SH024*(Popt[0][1]*SH025 + Popt[1][1]*flowStates[0]*SH024)); + SK_OPT[2] = SH_OPT[0]; + if (!inhibitScaleState) { + K_OPT[0][0] = -SK_OPT[1]*(Popt[0][0]*SH_OPT[2]*SH_OPT[5]*SK_OPT[2] + Popt[0][1]*flowStates[0]*SH_OPT[2]*SH_OPT[4]*SK_OPT[2]); + K_OPT[0][1] = SK_OPT[0]*(Popt[0][0]*SH_OPT[1]*SH_OPT[5]*SK_OPT[2] + Popt[0][1]*flowStates[0]*SH_OPT[1]*SH_OPT[4]*SK_OPT[2]); + } else { + K_OPT[0][0] = 0.0f; + K_OPT[0][1] = 0.0f; + } + if (!inhibitGndState) { + K_OPT[1][0] = -SK_OPT[1]*(Popt[1][0]*SH_OPT[2]*SH_OPT[5]*SK_OPT[2] + Popt[1][1]*flowStates[0]*SH_OPT[2]*SH_OPT[4]*SK_OPT[2]); + K_OPT[1][1] = SK_OPT[0]*(Popt[1][0]*SH_OPT[1]*SH_OPT[5]*SK_OPT[2] + Popt[1][1]*flowStates[0]*SH_OPT[1]*SH_OPT[4]*SK_OPT[2]); + } else { + K_OPT[1][0] = 0.0f; + K_OPT[1][1] = 0.0f; + } + + // calculate innovation variances + auxFlowObsInnovVar[0] = 1.0f/SK_OPT[1]; + auxFlowObsInnovVar[1] = 1.0f/SK_OPT[0]; + + // calculate observations jacobians + H_OPT[0][0] = -SH025; + H_OPT[0][1] = -flowStates[0]*SH024; + H_OPT[1][0] = SH015; + H_OPT[1][1] = flowStates[0]*SH014; + + // Check the innovation for consistency and don't fuse if > threshold + for (uint8_t obsIndex = 0; obsIndex < 2; obsIndex++) { + + // calculate the innovation consistency test ratio + auxFlowTestRatio[obsIndex] = sq(auxFlowObsInnov[obsIndex]) / (sq(auxFlowInnovGate) * auxFlowObsInnovVar[obsIndex]); + if (auxFlowTestRatio[obsIndex] < 1.0f) { + // correct the state + for (uint8_t i = 0; i < 2 ; i++) { + flowStates[i] -= K_OPT[i][obsIndex] * auxFlowObsInnov[obsIndex]; + } + // constrain the states + flowStates[0] = ConstrainFloat(flowStates[0], 0.1f, 10.0f); + flowStates[1] = maxf(flowStates[1], statesAtFlowTime[9] + minFlowRng); + + // correct the covariance matrix + for (uint8_t i = 0; i < 2 ; i++) { + HP[i] = 0.0f; + for (uint8_t j = 0; j < 2 ; j++) { + HP[i] += H_OPT[obsIndex][j] * P[j][i]; + } + } + for (uint8_t i = 0; i < 2 ; i++) { + for (uint8_t j = 0; j < 2 ; j++) { + nextPopt[i][j] = P[i][j] - K_OPT[i][obsIndex] * HP[j]; + } + } + + // prevent the state variances from becoming negative and maintain symmetry + Popt[0][0] = maxf(nextPopt[0][0],0.0f); + Popt[1][1] = maxf(nextPopt[1][1],0.0f); + Popt[0][1] = 0.5f * (nextPopt[0][1] + nextPopt[1][0]); + Popt[1][0] = Popt[0][1]; + } + } + } + } void AttPosEKF::zeroCols(float (&covMat)[n_states][n_states], uint8_t first, uint8_t last) @@ -2328,6 +2280,9 @@ void AttPosEKF::StoreStates(uint64_t timestamp_ms) { for (unsigned i=0; i<n_states; i++) storedStates[i][storeIndex] = states[i]; + storedOmega[0][storeIndex] = angRate.x; + storedOmega[1][storeIndex] = angRate.y; + storedOmega[2][storeIndex] = angRate.z; statetimeStamp[storeIndex] = timestamp_ms; storeIndex++; if (storeIndex == data_buffer_size) @@ -2338,16 +2293,12 @@ void AttPosEKF::ResetStoredStates() { // reset all stored states memset(&storedStates[0][0], 0, sizeof(storedStates)); + memset(&storedOmega[0][0], 0, sizeof(storedOmega)); memset(&statetimeStamp[0], 0, sizeof(statetimeStamp)); // reset store index to first storeIndex = 0; - // overwrite all existing states - for (unsigned i = 0; i < n_states; i++) { - storedStates[i][storeIndex] = states[i]; - } - statetimeStamp[storeIndex] = millis(); // increment to next storage index @@ -2407,6 +2358,37 @@ int AttPosEKF::RecallStates(float* statesForFusion, uint64_t msec) return ret; } +void AttPosEKF::RecallOmega(float* omegaForFusion, uint64_t msec) +{ + // work back in time and calculate average angular rate over the time interval + for (unsigned i=0; i < 3; i++) { + omegaForFusion[i] = 0.0f; + } + uint8_t sumIndex = 0; + int64_t timeDelta; + for (unsigned storeIndexLocal = 0; storeIndexLocal < data_buffer_size; storeIndexLocal++) + { + // calculate the average of all samples younger than msec + timeDelta = statetimeStamp[storeIndexLocal] - msec; + if (timeDelta > 0) + { + for (unsigned i=0; i < 3; i++) { + omegaForFusion[i] += storedOmega[i][storeIndexLocal]; + } + sumIndex += 1; + } + } + if (sumIndex >= 1) { + for (unsigned i=0; i < 3; i++) { + omegaForFusion[i] = omegaForFusion[i] / float(sumIndex); + } + } else { + omegaForFusion[0] = angRate.x; + omegaForFusion[1] = angRate.y; + omegaForFusion[2] = angRate.z; + } +} + void AttPosEKF::quat2Tnb(Mat3f &Tnb, const float (&quat)[4]) { // Calculate the nav to body cosine matrix @@ -2502,6 +2484,7 @@ void AttPosEKF::calcLLH(float posNED[3], double &lat, double &lon, float &hgt, d void AttPosEKF::OnGroundCheck() { onGround = (((sq(velNED[0]) + sq(velNED[1]) + sq(velNED[2])) < 4.0f) && (VtasMeas < 8.0f)); + if (staticMode) { staticMode = (!refSet || (GPSstatus < GPS_FIX_3D)); } @@ -2517,12 +2500,25 @@ void AttPosEKF::OnGroundCheck() } else { inhibitMagStates = false; } - // don't update terrain offset state if on ground - if (onGround) { + // don't update terrain offset state if there is no range finder and flying at low velocity or without GPS + if ((onGround || !useGPS) && !useRangeFinder) { inhibitGndState = true; } else { inhibitGndState = false; } + // don't update terrain offset state if there is no range finder and flying at low velocity, or without GPS, as it is poorly observable + if ((onGround || (globalTimeStamp_ms - lastFixTime_ms) > 1000) && !useRangeFinder) { + inhibitGndState = true; + } else { + inhibitGndState = false; + } + // Don't update focal length offset state if there is no range finder or optical flow sensor + // we need both sensors to do this estimation + if (!useRangeFinder || !useOpticalFlow) { + inhibitScaleState = true; + } else { + inhibitScaleState = false; + } } void AttPosEKF::calcEarthRateNED(Vector3f &omega, float latitude) @@ -2558,7 +2554,9 @@ void AttPosEKF::CovarianceInit() P[19][19] = sq(0.02f); P[20][20] = P[19][19]; P[21][21] = P[19][19]; - P[22][22] = sq(0.5f); + + fScaleFactorVar = 0.001f; // focal length scale factor variance + Popt[0][0] = 0.001f; } float AttPosEKF::ConstrainFloat(float val, float min_val, float max_val) @@ -2596,7 +2594,6 @@ void AttPosEKF::ConstrainVariances() // 14-15: Wind Vector - m/sec (North,East) // 16-18: Earth Magnetic Field Vector - gauss (North, East, Down) // 19-21: Body Magnetic Field Vector - gauss (X,Y,Z) - // 22: Terrain offset - m // Constrain quaternion variances for (unsigned i = 0; i <= 3; i++) { @@ -2636,8 +2633,6 @@ void AttPosEKF::ConstrainVariances() P[i][i] = ConstrainFloat(P[i][i], 0.0f, 1.0f); } - // Constrain terrain offset variance - P[22][22] = ConstrainFloat(P[22][22], 0.0f, 10000.0f); } void AttPosEKF::ConstrainStates() @@ -2655,7 +2650,6 @@ void AttPosEKF::ConstrainStates() // 14-15: Wind Vector - m/sec (North,East) // 16-18: Earth Magnetic Field Vector - gauss (North, East, Down) // 19-21: Body Magnetic Field Vector - gauss (X,Y,Z) - // 22: Terrain offset - m // Constrain quaternion for (unsigned i = 0; i <= 3; i++) { @@ -2673,7 +2667,8 @@ void AttPosEKF::ConstrainStates() } // Constrain altitude - states[9] = ConstrainFloat(states[9], -4.0e4f, 1.0e4f); + // NOT FOR FLIGHT : Upper value of 0.0 is a temporary fix to get around lack of range finder data during development testing + states[9] = ConstrainFloat(states[9], -4.0e4f, 4.0e4f); // Angle bias limit - set to 8 degrees / sec for (unsigned i = 10; i <= 12; i++) { @@ -2699,9 +2694,6 @@ void AttPosEKF::ConstrainStates() states[i] = ConstrainFloat(states[i], -0.5f, 0.5f); } - // Constrain terrain offset - states[22] = ConstrainFloat(states[22], -1000.0f, 1000.0f); - } void AttPosEKF::ForceSymmetry() @@ -3162,12 +3154,14 @@ void AttPosEKF::InitializeDynamic(float (&initvelNED)[3], float declination) states[19] = magBias.x; // Magnetic Field Bias X states[20] = magBias.y; // Magnetic Field Bias Y states[21] = magBias.z; // Magnetic Field Bias Z - states[22] = 0.0f; // terrain height ResetVelocity(); ResetPosition(); ResetHeight(); + // initialise focal length scale factor estimator states + flowStates[0] = 1.0f; + statesInitialised = true; // initialise the covariance matrix @@ -3223,6 +3217,9 @@ void AttPosEKF::ZeroVariables() states[i] = 0.0f; // state matrix } + // initialise the variables for the focal length scale factor to unity + flowStates[0] = 1.0f; + correctedDelAng.zero(); summedDelAng.zero(); summedDelVel.zero(); @@ -3230,12 +3227,9 @@ void AttPosEKF::ZeroVariables() dVelIMU.zero(); lastGyroOffset.zero(); - windSpdFiltNorth = 0.0f; - windSpdFiltEast = 0.0f; - // setting the altitude to zero will give us a higher - // gain to adjust faster in the first step - windSpdFiltAltitude = 0.0f; - windSpdFiltClimb = 0.0f; + // initialise states used by OpticalFlowEKF + flowStates[0] = 1.0f; + flowStates[1] = 0.0f; for (unsigned i = 0; i < data_buffer_size; i++) { diff --git a/src/modules/ekf_att_pos_estimator/estimator_23states.h b/src/modules/ekf_att_pos_estimator/estimator_22states.h index a607955a8..b1d71bd74 100644 --- a/src/modules/ekf_att_pos_estimator/estimator_23states.h +++ b/src/modules/ekf_att_pos_estimator/estimator_22states.h @@ -2,7 +2,7 @@ #include "estimator_utilities.h" -const unsigned int n_states = 23; +const unsigned int n_states = 22; const unsigned int data_buffer_size = 50; class AttPosEKF { @@ -29,10 +29,6 @@ public: float covDelAngMax; // maximum delta angle between covariance predictions float rngFinderPitch; // pitch angle of laser range finder in radians. Zero is aligned with the Z body axis. Positive is RH rotation about Y body axis. - float a1; // optical flow sensor misalgnment angle about X axis (rad) - float a2; // optical flow sensor misalgnment angle about Y axis (rad) - float a3; // optical flow sensor misalgnment angle about Z axis (rad) - float yawVarScale; float windVelSigma; float dAngBiasSigma; @@ -59,9 +55,6 @@ public: covDelAngMax = 0.02f; // maximum delta angle between covariance predictions rngFinderPitch = 0.0f; // pitch angle of laser range finder in radians. Zero is aligned with the Z body axis. Positive is RH rotation about Y body axis. EAS2TAS = 1.0f; - a1 = 0.0f; // optical flow sensor misalgnment angle about X axis (rad) - a2 = 0.0f; // optical flow sensor misalgnment angle about Y axis (rad) - a3 = 0.0f; // optical flow sensor misalgnment angle about Z axis (rad) yawVarScale = 1.0f; windVelSigma = 0.1f; @@ -69,7 +62,6 @@ public: dVelBiasSigma = 1e-4f; magEarthSigma = 3.0e-4f; magBodySigma = 3.0e-4f; - gndHgtSigma = 0.02f; // assume 2% terrain gradient 1-sigma vneSigma = 0.2f; vdSigma = 0.3f; @@ -82,12 +74,13 @@ public: accelProcessNoise = 0.5f; gndHgtSigma = 0.1f; // terrain gradient 1-sigma - R_LOS = 0.03f; // optical flow measurement noise variance (rad/sec)^2 + R_LOS = 0.3f; // optical flow measurement noise variance (rad/sec)^2 flowInnovGate = 3.0f; // number of standard deviations applied to the optical flow innovation consistency check auxFlowInnovGate = 10.0f; // number of standard deviations applied to the optical flow innovation consistency check used by the auxiliary filter - rngInnovGate = 10.0f; // number of standard deviations applied to the rnage finder innovation consistency check - minFlowRng = 0.01f; //minimum range between ground and flow sensor - moCompR_LOS = 0.2; // scaler from sensor gyro rate to uncertainty in LOS rate + rngInnovGate = 5.0f; // number of standard deviations applied to the range finder innovation consistency check + minFlowRng = 0.3f; //minimum range between ground and flow sensor + moCompR_LOS = 0.0; // scaler from sensor gyro rate to uncertainty in LOS rate + } struct mag_state_struct { @@ -134,6 +127,7 @@ public: float statesAtVtasMeasTime[n_states]; // filter states at the effective measurement time float statesAtRngTime[n_states]; // filter states at the effective measurement time float statesAtFlowTime[n_states]; // States at the effective optical flow measurement time + float omegaAcrossFlowTime[3]; // angular rates at the effective optical flow measurement time Vector3f correctedDelAng; // delta angles about the xyz body axes corrected for errors (rad) Vector3f correctedDelVel; // delta velocities along the XYZ body axes corrected for errors (m/s) @@ -145,7 +139,7 @@ public: Vector3f lastGyroOffset; // Last gyro offset Vector3f delAngTotal; - Mat3f Tbn; // transformation matrix from body to NED coordinates + Mat3f Tbn; // transformation matrix from body to NED coordinatesFuseOptFlow Mat3f Tnb; // transformation amtrix from NED to body coordinates Vector3f accel; // acceleration vector in XYZ body axes measured by the IMU (m/s^2) @@ -157,10 +151,6 @@ public: float dtVelPosFilt; // average time between position / velocity fusion steps float dtHgtFilt; // average time between height measurement updates float dtGpsFilt; // average time between gps measurement updates - float windSpdFiltNorth; // average wind speed north component - float windSpdFiltEast; // average wind speed east component - float windSpdFiltAltitude; // the last altitude used to filter wind speed - float windSpdFiltClimb; // filtered climb rate uint8_t fusionModeGPS; // 0 = GPS outputs 3D velocity, 1 = GPS outputs 2D velocity, 2 = GPS outputs no velocity float innovVelPos[6]; // innovation output float varInnovVelPos[6]; // innovation variance output @@ -175,7 +165,8 @@ public: float innovMag[3]; // innovation output float varInnovMag[3]; // innovation variance output Vector3f magData; // magnetometer flux radings in X,Y,Z body axes - float losData[2]; // optical flow LOS rate measurements (rad/sec) + float flowRadXYcomp[2]; // motion compensated optical flow angular rates(rad/sec) + float flowRadXY[2]; // raw (non motion compensated) optical flow angular rates (rad/sec) float innovVtas; // innovation output float innovRng; ///< Range finder innovation float innovOptFlow[2]; // optical flow LOS innovations (rad/sec) @@ -190,6 +181,8 @@ public: bool refSet; ///< flag to indicate if the reference position has been set Vector3f magBias; // states representing magnetometer bias vector in XYZ body axes unsigned covSkipCount; // Number of state prediction frames (IMU daya updates to skip before doing the covariance prediction + uint32_t lastFixTime_ms; // Number of msec since last GPS Fix that was used + uint32_t globalTimeStamp_ms; // time in msec of current prediction cycle // GPS input data variables double gpsLat; @@ -217,6 +210,7 @@ public: bool onGround; ///< boolean true when the flight vehicle is on the ground (not flying) bool staticMode; ///< boolean true if no position feedback is fused + bool useGPS; // boolean true if GPS data is being used bool useAirspeed; ///< boolean true if airspeed data is being used bool useCompass; ///< boolean true if magnetometer data is being used bool useRangeFinder; ///< true when rangefinder is being used @@ -267,11 +261,9 @@ void FuseMagnetometer(); void FuseAirspeed(); -void FuseRangeFinder(); - void FuseOptFlow(); -void GroundEKF(); +void OpticalFlowEKF(); void zeroRows(float (&covMat)[n_states][n_states], uint8_t first, uint8_t last); @@ -286,7 +278,7 @@ void StoreStates(uint64_t timestamp_ms); * Recall the state vector. * * Recalls the vector stored at closest time to the one specified by msec - * + *FuseOptFlow * @return zero on success, integer indicating the number of invalid states on failure. * Does only copy valid states, if the statesForFusion vector was initialized * correctly by the caller, the result can be safely used, but is a mixture @@ -295,6 +287,8 @@ void StoreStates(uint64_t timestamp_ms); */ int RecallStates(float *statesForFusion, uint64_t msec); +void RecallOmega(float *omegaForFusion, uint64_t msec); + void ResetStoredStates(); void quat2Tbn(Mat3f &TBodyNed, const float (&quat)[4]); @@ -325,7 +319,7 @@ void CovarianceInit(); void InitialiseFilter(float (&initvelNED)[3], double referenceLat, double referenceLon, float referenceHgt, float declination); -float ConstrainFloat(float val, float min, float max); +float ConstrainFloat(float val, float min, float maxf); void ConstrainVariances(); diff --git a/src/modules/ekf_att_pos_estimator/module.mk b/src/modules/ekf_att_pos_estimator/module.mk index 843dde978..f51962113 100644 --- a/src/modules/ekf_att_pos_estimator/module.mk +++ b/src/modules/ekf_att_pos_estimator/module.mk @@ -39,7 +39,7 @@ MODULE_COMMAND = ekf_att_pos_estimator SRCS = ekf_att_pos_estimator_main.cpp \ ekf_att_pos_estimator_params.c \ - estimator_23states.cpp \ + estimator_22states.cpp \ estimator_utilities.cpp EXTRACXXFLAGS = -Weffc++ -Wframe-larger-than=6100 diff --git a/src/modules/land_detector/FixedwingLandDetector.cpp b/src/modules/land_detector/FixedwingLandDetector.cpp new file mode 100644 index 000000000..8e5bcf7ba --- /dev/null +++ b/src/modules/land_detector/FixedwingLandDetector.cpp @@ -0,0 +1,125 @@ +/**************************************************************************** + * + * Copyright (c) 2013-2015 PX4 Development Team. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in + * the documentation and/or other materials provided with the + * distribution. + * 3. Neither the name PX4 nor the names of its contributors may be + * used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS + * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT + * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS + * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE + * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, + * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, + * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS + * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED + * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN + * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + * + ****************************************************************************/ + +/** + * @file FixedwingLandDetector.cpp + * Land detection algorithm for fixedwings + * + * @author Johan Jansen <jnsn.johan@gmail.com> + */ + +#include "FixedwingLandDetector.h" + +#include <cmath> +#include <drivers/drv_hrt.h> + +FixedwingLandDetector::FixedwingLandDetector() : LandDetector(), + _paramHandle(), + _params(), + _vehicleLocalPositionSub(-1), + _vehicleLocalPosition({}), + _airspeedSub(-1), + _airspeed({}), + _parameterSub(-1), + _velocity_xy_filtered(0.0f), + _velocity_z_filtered(0.0f), + _airspeed_filtered(0.0f), + _landDetectTrigger(0) +{ + _paramHandle.maxVelocity = param_find("LNDFW_VEL_XY_MAX"); + _paramHandle.maxClimbRate = param_find("LNDFW_VEL_Z_MAX"); + _paramHandle.maxAirSpeed = param_find("LNDFW_AIRSPD_MAX"); +} + +void FixedwingLandDetector::initialize() +{ + // Subscribe to local position and airspeed data + _vehicleLocalPositionSub = orb_subscribe(ORB_ID(vehicle_local_position)); + _airspeedSub = orb_subscribe(ORB_ID(airspeed)); +} + +void FixedwingLandDetector::updateSubscriptions() +{ + orb_update(ORB_ID(vehicle_local_position), _vehicleLocalPositionSub, &_vehicleLocalPosition); + orb_update(ORB_ID(airspeed), _airspeedSub, &_airspeed); +} + +bool FixedwingLandDetector::update() +{ + // First poll for new data from our subscriptions + updateSubscriptions(); + + const uint64_t now = hrt_absolute_time(); + bool landDetected = false; + + // TODO: reset filtered values on arming? + _velocity_xy_filtered = 0.95f * _velocity_xy_filtered + 0.05f * sqrtf(_vehicleLocalPosition.vx * + _vehicleLocalPosition.vx + _vehicleLocalPosition.vy * _vehicleLocalPosition.vy); + _velocity_z_filtered = 0.95f * _velocity_z_filtered + 0.05f * fabsf(_vehicleLocalPosition.vz); + _airspeed_filtered = 0.95f * _airspeed_filtered + 0.05f * _airspeed.true_airspeed_m_s; + + // crude land detector for fixedwing + if (_velocity_xy_filtered < _params.maxVelocity + && _velocity_z_filtered < _params.maxClimbRate + && _airspeed_filtered < _params.maxAirSpeed) { + + // these conditions need to be stable for a period of time before we trust them + if (now > _landDetectTrigger) { + landDetected = true; + } + + } else { + // reset land detect trigger + _landDetectTrigger = now + LAND_DETECTOR_TRIGGER_TIME; + } + + return landDetected; +} + +void FixedwingLandDetector::updateParameterCache(const bool force) +{ + bool updated; + parameter_update_s paramUpdate; + + orb_check(_parameterSub, &updated); + + if (updated) { + orb_copy(ORB_ID(parameter_update), _parameterSub, ¶mUpdate); + } + + if (updated || force) { + param_get(_paramHandle.maxVelocity, &_params.maxVelocity); + param_get(_paramHandle.maxClimbRate, &_params.maxClimbRate); + param_get(_paramHandle.maxAirSpeed, &_params.maxAirSpeed); + } +} diff --git a/src/modules/land_detector/FixedwingLandDetector.h b/src/modules/land_detector/FixedwingLandDetector.h new file mode 100644 index 000000000..0e9c092ee --- /dev/null +++ b/src/modules/land_detector/FixedwingLandDetector.h @@ -0,0 +1,105 @@ +/**************************************************************************** + * + * Copyright (c) 2013-2015 PX4 Development Team. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in + * the documentation and/or other materials provided with the + * distribution. + * 3. Neither the name PX4 nor the names of its contributors may be + * used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS + * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT + * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS + * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE + * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, + * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, + * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS + * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED + * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN + * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + * + ****************************************************************************/ + +/** + * @file FixedwingLandDetector.h + * Land detection algorithm for fixedwing + * + * @author Johan Jansen <jnsn.johan@gmail.com> + */ + +#ifndef __FIXED_WING_LAND_DETECTOR_H__ +#define __FIXED_WING_LAND_DETECTOR_H__ + +#include "LandDetector.h" +#include <uORB/topics/vehicle_local_position.h> +#include <uORB/topics/airspeed.h> +#include <uORB/topics/parameter_update.h> +#include <systemlib/param/param.h> + +class FixedwingLandDetector : public LandDetector +{ +public: + FixedwingLandDetector(); + +protected: + /** + * @brief blocking loop, should be run in a separate thread or task. Runs at 50Hz + **/ + bool update() override; + + /** + * @brief Initializes the land detection algorithm + **/ + void initialize() override; + + /** + * @brief polls all subscriptions and pulls any data that has changed + **/ + void updateSubscriptions(); + +private: + /** + * @brief download and update local parameter cache + **/ + void updateParameterCache(const bool force); + + /** + * @brief Handles for interesting parameters + **/ + struct { + param_t maxVelocity; + param_t maxClimbRate; + param_t maxAirSpeed; + } _paramHandle; + + struct { + float maxVelocity; + float maxClimbRate; + float maxAirSpeed; + } _params; + +private: + int _vehicleLocalPositionSub; /**< notification of local position */ + struct vehicle_local_position_s _vehicleLocalPosition; /**< the result from local position subscription */ + int _airspeedSub; + struct airspeed_s _airspeed; + int _parameterSub; + + float _velocity_xy_filtered; + float _velocity_z_filtered; + float _airspeed_filtered; + uint64_t _landDetectTrigger; +}; + +#endif //__FIXED_WING_LAND_DETECTOR_H__ diff --git a/src/modules/land_detector/LandDetector.cpp b/src/modules/land_detector/LandDetector.cpp new file mode 100644 index 000000000..a4fbb9861 --- /dev/null +++ b/src/modules/land_detector/LandDetector.cpp @@ -0,0 +1,124 @@ +/**************************************************************************** + * + * Copyright (c) 2013-2015 PX4 Development Team. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in + * the documentation and/or other materials provided with the + * distribution. + * 3. Neither the name PX4 nor the names of its contributors may be + * used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS + * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT + * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS + * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE + * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, + * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, + * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS + * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED + * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN + * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + * + ****************************************************************************/ + +/** + * @file LandDetector.cpp + * Land detection algorithm + * + * @author Johan Jansen <jnsn.johan@gmail.com> + * @author Morten Lysgaard <morten@lysgaard.no> + */ + +#include "LandDetector.h" +#include <unistd.h> //usleep +#include <drivers/drv_hrt.h> + +LandDetector::LandDetector() : + _landDetectedPub(-1), + _landDetected({0, false}), + _taskShouldExit(false), + _taskIsRunning(false) +{ + // ctor +} + +LandDetector::~LandDetector() +{ + _taskShouldExit = true; + close(_landDetectedPub); +} + +void LandDetector::shutdown() +{ + _taskShouldExit = true; +} + +void LandDetector::start() +{ + // make sure this method has not already been called by another thread + if (isRunning()) { + return; + } + + // advertise the first land detected uORB + _landDetected.timestamp = hrt_absolute_time(); + _landDetected.landed = false; + _landDetectedPub = orb_advertise(ORB_ID(vehicle_land_detected), &_landDetected); + + // initialize land detection algorithm + initialize(); + + // task is now running, keep doing so until shutdown() has been called + _taskIsRunning = true; + _taskShouldExit = false; + + while (isRunning()) { + + bool landDetected = update(); + + // publish if land detection state has changed + if (_landDetected.landed != landDetected) { + _landDetected.timestamp = hrt_absolute_time(); + _landDetected.landed = landDetected; + + // publish the land detected broadcast + orb_publish(ORB_ID(vehicle_land_detected), _landDetectedPub, &_landDetected); + } + + // limit loop rate + usleep(1000000 / LAND_DETECTOR_UPDATE_RATE); + } + + _taskIsRunning = false; + _exit(0); +} + +bool LandDetector::orb_update(const struct orb_metadata *meta, int handle, void *buffer) +{ + bool newData = false; + + // check if there is new data to grab + if (orb_check(handle, &newData) != OK) { + return false; + } + + if (!newData) { + return false; + } + + if (orb_copy(meta, handle, buffer) != OK) { + return false; + } + + return true; +} diff --git a/src/modules/land_detector/LandDetector.h b/src/modules/land_detector/LandDetector.h new file mode 100644 index 000000000..09db6e474 --- /dev/null +++ b/src/modules/land_detector/LandDetector.h @@ -0,0 +1,104 @@ +/**************************************************************************** + * + * Copyright (c) 2013-2015 PX4 Development Team. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in + * the documentation and/or other materials provided with the + * distribution. + * 3. Neither the name PX4 nor the names of its contributors may be + * used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS + * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT + * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS + * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE + * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, + * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, + * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS + * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED + * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN + * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + * + ****************************************************************************/ + +/** + * @file LandDetector.h + * Abstract interface for land detector algorithms + * + * @author Johan Jansen <jnsn.johan@gmail.com> + */ + +#ifndef __LAND_DETECTOR_H__ +#define __LAND_DETECTOR_H__ + +#include <uORB/uORB.h> +#include <uORB/topics/vehicle_land_detected.h> + +class LandDetector +{ +public: + + LandDetector(); + virtual ~LandDetector(); + + /** + * @return true if this task is currently running + **/ + inline bool isRunning() const {return _taskIsRunning;} + + /** + * @brief Tells the Land Detector task that it should exit + **/ + void shutdown(); + + /** + * @brief Blocking function that should be called from it's own task thread. This method will + * run the underlying algorithm at the desired update rate and publish if the landing state changes. + **/ + void start(); + +protected: + + /** + * @brief Pure abstract method that must be overriden by sub-classes. This actually runs the underlying algorithm + * @return true if a landing was detected and this should be broadcast to the rest of the system + **/ + virtual bool update() = 0; + + /** + * @brief Pure abstract method that is called by this class once for initializing the uderlying algorithm (memory allocation, + * uORB topic subscription, creating file descriptors, etc.) + **/ + virtual void initialize() = 0; + + /** + * @brief Convinience function for polling uORB subscriptions + * @return true if there was new data and it was successfully copied + **/ + bool orb_update(const struct orb_metadata *meta, int handle, void *buffer); + + static constexpr uint32_t LAND_DETECTOR_UPDATE_RATE = 50; /**< Run algorithm at 50Hz */ + + static constexpr uint64_t LAND_DETECTOR_TRIGGER_TIME = 2000000; /**< usec that landing conditions have to hold + before triggering a land */ + +protected: + orb_advert_t _landDetectedPub; /**< publisher for position in local frame */ + struct vehicle_land_detected_s _landDetected; /**< local vehicle position */ + +private: + bool _taskShouldExit; /**< true if it is requested that this task should exit */ + bool _taskIsRunning; /**< task has reached main loop and is currently running */ +}; + +#endif //__LAND_DETECTOR_H__ diff --git a/src/modules/land_detector/MulticopterLandDetector.cpp b/src/modules/land_detector/MulticopterLandDetector.cpp new file mode 100644 index 000000000..277cb9363 --- /dev/null +++ b/src/modules/land_detector/MulticopterLandDetector.cpp @@ -0,0 +1,145 @@ +/**************************************************************************** + * + * Copyright (c) 2013-2015 PX4 Development Team. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in + * the documentation and/or other materials provided with the + * distribution. + * 3. Neither the name PX4 nor the names of its contributors may be + * used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS + * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT + * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS + * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE + * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, + * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, + * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS + * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED + * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN + * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + * + ****************************************************************************/ + +/** + * @file MulticopterLandDetector.cpp + * Land detection algorithm for multicopters + * + * @author Johan Jansen <jnsn.johan@gmail.com> + * @author Morten Lysgaard <morten@lysgaard.no> + */ + +#include "MulticopterLandDetector.h" + +#include <cmath> +#include <drivers/drv_hrt.h> + +MulticopterLandDetector::MulticopterLandDetector() : LandDetector(), + _paramHandle(), + _params(), + _vehicleGlobalPositionSub(-1), + _sensorsCombinedSub(-1), + _waypointSub(-1), + _actuatorsSub(-1), + _armingSub(-1), + _parameterSub(-1), + _vehicleGlobalPosition({}), + _sensors({}), + _waypoint({}), + _actuators({}), + _arming({}), + _landTimer(0) +{ + _paramHandle.maxRotation = param_find("LNDMC_Z_VEL_MAX"); + _paramHandle.maxVelocity = param_find("LNDMC_XY_VEL_MAX"); + _paramHandle.maxClimbRate = param_find("LNDMC_ROT_MAX"); + _paramHandle.maxThrottle = param_find("LNDMC_THR_MAX"); +} + +void MulticopterLandDetector::initialize() +{ + // subscribe to position, attitude, arming and velocity changes + _vehicleGlobalPositionSub = orb_subscribe(ORB_ID(vehicle_global_position)); + _sensorsCombinedSub = orb_subscribe(ORB_ID(sensor_combined)); + _waypointSub = orb_subscribe(ORB_ID(position_setpoint_triplet)); + _actuatorsSub = orb_subscribe(ORB_ID_VEHICLE_ATTITUDE_CONTROLS); + _armingSub = orb_subscribe(ORB_ID(actuator_armed)); + _parameterSub = orb_subscribe(ORB_ID(parameter_update)); + + // download parameters + updateParameterCache(true); +} + +void MulticopterLandDetector::updateSubscriptions() +{ + orb_update(ORB_ID(vehicle_global_position), _vehicleGlobalPositionSub, &_vehicleGlobalPosition); + orb_update(ORB_ID(sensor_combined), _sensorsCombinedSub, &_sensors); + orb_update(ORB_ID(position_setpoint_triplet), _waypointSub, &_waypoint); + orb_update(ORB_ID_VEHICLE_ATTITUDE_CONTROLS, _actuatorsSub, &_actuators); + orb_update(ORB_ID(actuator_armed), _armingSub, &_arming); +} + +bool MulticopterLandDetector::update() +{ + // first poll for new data from our subscriptions + updateSubscriptions(); + + // only trigger flight conditions if we are armed + if (!_arming.armed) { + return true; + } + + const uint64_t now = hrt_absolute_time(); + + // check if we are moving vertically + bool verticalMovement = fabsf(_vehicleGlobalPosition.vel_d) > _params.maxClimbRate; + + // check if we are moving horizontally + bool horizontalMovement = sqrtf(_vehicleGlobalPosition.vel_n * _vehicleGlobalPosition.vel_n + + _vehicleGlobalPosition.vel_e * _vehicleGlobalPosition.vel_e) > _params.maxVelocity; + + // next look if all rotation angles are not moving + bool rotating = sqrtf(_sensors.gyro_rad_s[0] * _sensors.gyro_rad_s[0] + + _sensors.gyro_rad_s[1] * _sensors.gyro_rad_s[1] + + _sensors.gyro_rad_s[2] * _sensors.gyro_rad_s[2]) > _params.maxRotation; + + // check if thrust output is minimal (about half of default) + bool minimalThrust = _actuators.control[3] <= _params.maxThrottle; + + if (verticalMovement || rotating || !minimalThrust || horizontalMovement) { + // sensed movement, so reset the land detector + _landTimer = now; + return false; + } + + return now - _landTimer > LAND_DETECTOR_TRIGGER_TIME; +} + +void MulticopterLandDetector::updateParameterCache(const bool force) +{ + bool updated; + parameter_update_s paramUpdate; + + orb_check(_parameterSub, &updated); + + if (updated) { + orb_copy(ORB_ID(parameter_update), _parameterSub, ¶mUpdate); + } + + if (updated || force) { + param_get(_paramHandle.maxClimbRate, &_params.maxClimbRate); + param_get(_paramHandle.maxVelocity, &_params.maxVelocity); + param_get(_paramHandle.maxRotation, &_params.maxRotation); + param_get(_paramHandle.maxThrottle, &_params.maxThrottle); + } +} diff --git a/src/modules/land_detector/MulticopterLandDetector.h b/src/modules/land_detector/MulticopterLandDetector.h new file mode 100644 index 000000000..7bb7f1a90 --- /dev/null +++ b/src/modules/land_detector/MulticopterLandDetector.h @@ -0,0 +1,116 @@ +/**************************************************************************** + * + * Copyright (c) 2013-2015 PX4 Development Team. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in + * the documentation and/or other materials provided with the + * distribution. + * 3. Neither the name PX4 nor the names of its contributors may be + * used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS + * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT + * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS + * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE + * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, + * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, + * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS + * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED + * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN + * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + * + ****************************************************************************/ + +/** + * @file MulticopterLandDetector.h + * Land detection algorithm for multicopters + * + * @author Johan Jansen <jnsn.johan@gmail.com> + * @author Morten Lysgaard <morten@lysgaard.no> + */ + +#ifndef __MULTICOPTER_LAND_DETECTOR_H__ +#define __MULTICOPTER_LAND_DETECTOR_H__ + +#include "LandDetector.h" +#include <uORB/topics/vehicle_global_position.h> +#include <uORB/topics/sensor_combined.h> +#include <uORB/topics/position_setpoint_triplet.h> +#include <uORB/topics/actuator_controls.h> +#include <uORB/topics/actuator_armed.h> +#include <uORB/topics/parameter_update.h> +#include <systemlib/param/param.h> + +class MulticopterLandDetector : public LandDetector +{ +public: + MulticopterLandDetector(); + +protected: + /** + * @brief polls all subscriptions and pulls any data that has changed + **/ + void updateSubscriptions(); + + /** + * @brief Runs one iteration of the land detection algorithm + **/ + bool update() override; + + /** + * @brief Initializes the land detection algorithm + **/ + void initialize() override; + + +private: + /** + * @brief download and update local parameter cache + **/ + void updateParameterCache(const bool force); + + /** + * @brief Handles for interesting parameters + **/ + struct { + param_t maxClimbRate; + param_t maxVelocity; + param_t maxRotation; + param_t maxThrottle; + } _paramHandle; + + struct { + float maxClimbRate; + float maxVelocity; + float maxRotation; + float maxThrottle; + } _params; + +private: + int _vehicleGlobalPositionSub; /**< notification of global position */ + int _sensorsCombinedSub; + int _waypointSub; + int _actuatorsSub; + int _armingSub; + int _parameterSub; + + struct vehicle_global_position_s _vehicleGlobalPosition; /**< the result from global position subscription */ + struct sensor_combined_s _sensors; /**< subscribe to sensor readings */ + struct position_setpoint_triplet_s _waypoint; /**< subscribe to autopilot navigation */ + struct actuator_controls_s _actuators; + struct actuator_armed_s _arming; + + uint64_t _landTimer; /**< timestamp in microseconds since a possible land was detected*/ +}; + +#endif //__MULTICOPTER_LAND_DETECTOR_H__ diff --git a/src/modules/land_detector/land_detector_main.cpp b/src/modules/land_detector/land_detector_main.cpp new file mode 100644 index 000000000..1e43e7ad5 --- /dev/null +++ b/src/modules/land_detector/land_detector_main.cpp @@ -0,0 +1,214 @@ +/**************************************************************************** + * + * Copyright (c) 2013-2015 PX4 Development Team. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in + * the documentation and/or other materials provided with the + * distribution. + * 3. Neither the name PX4 nor the names of its contributors may be + * used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS + * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT + * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS + * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE + * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, + * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, + * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS + * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED + * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN + * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + * + ****************************************************************************/ + +/** + * @file land_detector_main.cpp + * Land detection algorithm + * + * @author Johan Jansen <jnsn.johan@gmail.com> + */ + +#include <unistd.h> //usleep +#include <stdio.h> +#include <string.h> +#include <stdlib.h> +#include <errno.h> +#include <drivers/drv_hrt.h> +#include <systemlib/systemlib.h> //Scheduler +#include <systemlib/err.h> //print to console + +#include "FixedwingLandDetector.h" +#include "MulticopterLandDetector.h" + +//Function prototypes +static int land_detector_start(const char *mode); +static void land_detector_stop(); + +/** + * land detector app start / stop handling function + * This makes the land detector module accessible from the nuttx shell + * @ingroup apps + */ +extern "C" __EXPORT int land_detector_main(int argc, char *argv[]); + +//Private variables +static LandDetector *land_detector_task = nullptr; +static int _landDetectorTaskID = -1; +static char _currentMode[12]; + +/** +* Deamon thread function +**/ +static void land_detector_deamon_thread(int argc, char *argv[]) +{ + land_detector_task->start(); +} + +/** +* Stop the task, force killing it if it doesn't stop by itself +**/ +static void land_detector_stop() +{ + if (land_detector_task == nullptr || _landDetectorTaskID == -1) { + errx(1, "not running"); + return; + } + + land_detector_task->shutdown(); + + //Wait for task to die + int i = 0; + + do { + /* wait 20ms */ + usleep(20000); + + /* if we have given up, kill it */ + if (++i > 50) { + task_delete(_landDetectorTaskID); + break; + } + } while (land_detector_task->isRunning()); + + + delete land_detector_task; + land_detector_task = nullptr; + _landDetectorTaskID = -1; + errx(0, "land_detector has been stopped"); +} + +/** +* Start new task, fails if it is already running. Returns OK if successful +**/ +static int land_detector_start(const char *mode) +{ + if (land_detector_task != nullptr || _landDetectorTaskID != -1) { + errx(1, "already running"); + return -1; + } + + //Allocate memory + if (!strcmp(mode, "fixedwing")) { + land_detector_task = new FixedwingLandDetector(); + + } else if (!strcmp(mode, "multicopter")) { + land_detector_task = new MulticopterLandDetector(); + + } else { + errx(1, "[mode] must be either 'fixedwing' or 'multicopter'"); + return -1; + } + + //Check if alloc worked + if (land_detector_task == nullptr) { + errx(1, "alloc failed"); + return -1; + } + + //Start new thread task + _landDetectorTaskID = task_spawn_cmd("land_detector", + SCHED_DEFAULT, + SCHED_PRIORITY_DEFAULT, + 1200, + (main_t)&land_detector_deamon_thread, + nullptr); + + if (_landDetectorTaskID < 0) { + errx(1, "task start failed: %d", -errno); + return -1; + } + + /* avoid memory fragmentation by not exiting start handler until the task has fully started */ + const uint32_t timeout = hrt_absolute_time() + 5000000; //5 second timeout + + while (!land_detector_task->isRunning()) { + usleep(50000); + printf("."); + fflush(stdout); + + if (hrt_absolute_time() > timeout) { + err(1, "start failed - timeout"); + land_detector_stop(); + exit(1); + } + } + + printf("\n"); + + //Remember current active mode + strncpy(_currentMode, mode, 12); + + exit(0); + return 0; +} + +/** +* Main entry point for this module +**/ +int land_detector_main(int argc, char *argv[]) +{ + + if (argc < 1) { + warnx("usage: land_detector {start|stop|status} [mode]\nmode can either be 'fixedwing' or 'multicopter'"); + exit(0); + } + + if (argc >= 2 && !strcmp(argv[1], "start")) { + land_detector_start(argv[2]); + } + + if (!strcmp(argv[1], "stop")) { + land_detector_stop(); + exit(0); + } + + if (!strcmp(argv[1], "status")) { + if (land_detector_task) { + + if (land_detector_task->isRunning()) { + warnx("running (%s)", _currentMode); + + } else { + errx(1, "exists, but not running (%s)", _currentMode); + } + + exit(0); + + } else { + errx(1, "not running"); + } + } + + warn("usage: land_detector {start|stop|status} [mode]\nmode can either be 'fixedwing' or 'multicopter'"); + return 1; +} diff --git a/src/modules/land_detector/land_detector_params.c b/src/modules/land_detector/land_detector_params.c new file mode 100644 index 000000000..0302bc7c1 --- /dev/null +++ b/src/modules/land_detector/land_detector_params.c @@ -0,0 +1,104 @@ +/**************************************************************************** + * + * Copyright (c) 2014, 2015 PX4 Development Team. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in + * the documentation and/or other materials provided with the + * distribution. + * 3. Neither the name PX4 nor the names of its contributors may be + * used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS + * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT + * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS + * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE + * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, + * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, + * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS + * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED + * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN + * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + * + ****************************************************************************/ + +/** + * @file land_detector.c + * Land detector algorithm parameters. + * + * @author Johan Jansen <jnsn.johan@gmail.com> + */ + +#include <systemlib/param/param.h> + +/** + * Multicopter max climb rate + * + * Maximum vertical velocity allowed to trigger a land (m/s up and down) + * + * @group Land Detector + */ +PARAM_DEFINE_FLOAT(LNDMC_Z_VEL_MAX, 0.30f); + +/** + * Multicopter max horizontal velocity + * + * Maximum horizontal velocity allowed to trigger a land (m/s) + * + * @group Land Detector + */ +PARAM_DEFINE_FLOAT(LNDMC_XY_VEL_MAX, 1.00f); + +/** + * Multicopter max rotation + * + * Maximum allowed around each axis to trigger a land (radians per second) + * + * @group Land Detector + */ +PARAM_DEFINE_FLOAT(LNDMC_ROT_MAX, 0.20f); + +/** + * Multicopter max throttle + * + * Maximum actuator output on throttle before triggering a land + * + * @group Land Detector + */ +PARAM_DEFINE_FLOAT(LNDMC_THR_MAX, 0.20f); + +/** + * Fixedwing max horizontal velocity + * + * Maximum horizontal velocity allowed to trigger a land (m/s) + * + * @group Land Detector + */ +PARAM_DEFINE_FLOAT(LNDFW_VEL_XY_MAX, 0.20f); + +/** + * Fixedwing max climb rate + * + * Maximum vertical velocity allowed to trigger a land (m/s up and down) + * + * @group Land Detector + */ +PARAM_DEFINE_FLOAT(LNDFW_VEL_Z_MAX, 10.00f); + +/** + * Airspeed max + * + * Maximum airspeed allowed to trigger a land (m/s) + * + * @group Land Detector + */ +PARAM_DEFINE_FLOAT(LNDFW_AIRSPD_MAX, 10.00f); diff --git a/src/modules/land_detector/module.mk b/src/modules/land_detector/module.mk new file mode 100644 index 000000000..e08a4b7a8 --- /dev/null +++ b/src/modules/land_detector/module.mk @@ -0,0 +1,13 @@ +# +# Land detector +# + +MODULE_COMMAND = land_detector + +SRCS = land_detector_main.cpp \ + land_detector_params.c \ + LandDetector.cpp \ + MulticopterLandDetector.cpp \ + FixedwingLandDetector.cpp + +EXTRACXXFLAGS = -Weffc++ -Os diff --git a/src/modules/mavlink/mavlink_receiver.cpp b/src/modules/mavlink/mavlink_receiver.cpp index ce3f2ae0e..f4e3dc441 100644 --- a/src/modules/mavlink/mavlink_receiver.cpp +++ b/src/modules/mavlink/mavlink_receiver.cpp @@ -92,6 +92,7 @@ MavlinkReceiver::MavlinkReceiver(Mavlink *parent) : _mavlink(parent), status{}, hil_local_pos{}, + hil_land_detector{}, _control_mode{}, _global_pos_pub(-1), _local_pos_pub(-1), @@ -118,6 +119,7 @@ MavlinkReceiver::MavlinkReceiver(Mavlink *parent) : _telemetry_status_pub(-1), _rc_pub(-1), _manual_pub(-1), + _land_detector_pub(-1), _control_mode_sub(orb_subscribe(ORB_ID(vehicle_control_mode))), _hil_frames(0), _old_timestamp(0), @@ -1353,9 +1355,6 @@ MavlinkReceiver::handle_message_hil_state_quaternion(mavlink_message_t *msg) hil_local_pos.xy_global = true; hil_local_pos.z_global = true; - bool landed = (float)(hil_state.alt) / 1000.0f < (_hil_local_alt0 + 0.1f); // XXX improve? - hil_local_pos.landed = landed; - if (_local_pos_pub < 0) { _local_pos_pub = orb_advertise(ORB_ID(vehicle_local_position), &hil_local_pos); @@ -1364,6 +1363,22 @@ MavlinkReceiver::handle_message_hil_state_quaternion(mavlink_message_t *msg) } } + /* land detector */ + { + bool landed = (float)(hil_state.alt) / 1000.0f < (_hil_local_alt0 + 0.1f); // XXX improve? + if(hil_land_detector.landed != landed) { + hil_land_detector.landed = landed; + hil_land_detector.timestamp = hrt_absolute_time(); + + if (_land_detector_pub < 0) { + _land_detector_pub = orb_advertise(ORB_ID(vehicle_land_detected), &hil_land_detector); + + } else { + orb_publish(ORB_ID(vehicle_land_detected), _land_detector_pub, &hil_land_detector); + } + } + } + /* accelerometer */ { struct accel_report accel; diff --git a/src/modules/mavlink/mavlink_receiver.h b/src/modules/mavlink/mavlink_receiver.h index 4afc9b372..699996860 100644 --- a/src/modules/mavlink/mavlink_receiver.h +++ b/src/modules/mavlink/mavlink_receiver.h @@ -50,6 +50,7 @@ #include <uORB/topics/vehicle_gps_position.h> #include <uORB/topics/vehicle_global_position.h> #include <uORB/topics/vehicle_local_position.h> +#include <uORB/topics/vehicle_land_detected.h> #include <uORB/topics/home_position.h> #include <uORB/topics/vehicle_status.h> #include <uORB/topics/offboard_control_setpoint.h> @@ -145,6 +146,7 @@ private: mavlink_status_t status; struct vehicle_local_position_s hil_local_pos; + struct vehicle_land_detected_s hil_land_detector; struct vehicle_control_mode_s _control_mode; orb_advert_t _global_pos_pub; orb_advert_t _local_pos_pub; @@ -171,6 +173,7 @@ private: orb_advert_t _telemetry_status_pub; orb_advert_t _rc_pub; orb_advert_t _manual_pub; + orb_advert_t _land_detector_pub; int _control_mode_sub; int _hil_frames; uint64_t _old_timestamp; diff --git a/src/modules/position_estimator_inav/position_estimator_inav_main.c b/src/modules/position_estimator_inav/position_estimator_inav_main.c index 38011a935..68ebd0f4f 100644 --- a/src/modules/position_estimator_inav/position_estimator_inav_main.c +++ b/src/modules/position_estimator_inav/position_estimator_inav_main.c @@ -247,9 +247,6 @@ int position_estimator_inav_thread_main(int argc, char *argv[]) float baro_offset = 0.0f; // baro offset for reference altitude, initialized on start, then adjusted float surface_offset = 0.0f; // ground level offset from reference altitude float surface_offset_rate = 0.0f; // surface offset change rate - float alt_avg = 0.0f; - bool landed = true; - hrt_abstime landed_time = 0; hrt_abstime accel_timestamp = 0; hrt_abstime baro_timestamp = 0; @@ -1069,36 +1066,6 @@ int position_estimator_inav_thread_main(int argc, char *argv[]) inertial_filter_correct(-y_est[1], dt, y_est, 1, params.w_xy_res_v); } - /* detect land */ - alt_avg += (- z_est[0] - alt_avg) * dt / params.land_t; - float alt_disp2 = - z_est[0] - alt_avg; - alt_disp2 = alt_disp2 * alt_disp2; - float land_disp2 = params.land_disp * params.land_disp; - /* get actual thrust output */ - float thrust = armed.armed ? actuator.control[3] : 0.0f; - - if (landed) { - if (alt_disp2 > land_disp2 || thrust > params.land_thr) { - landed = false; - landed_time = 0; - } - } else { - if (alt_disp2 < land_disp2 && thrust < params.land_thr) { - if (landed_time == 0) { - landed_time = t; // land detected first time - - } else { - if (t > landed_time + params.land_t * 1000000.0f) { - landed = true; - landed_time = 0; - } - } - - } else { - landed_time = 0; - } - } - if (verbose_mode) { /* print updates rate */ if (t > updates_counter_start + updates_counter_len) { @@ -1149,7 +1116,6 @@ int position_estimator_inav_thread_main(int argc, char *argv[]) local_pos.vy = y_est[1]; local_pos.z = z_est[0]; local_pos.vz = z_est[1]; - local_pos.landed = landed; local_pos.yaw = att.yaw; local_pos.dist_bottom_valid = dist_bottom_valid; local_pos.eph = eph; diff --git a/src/modules/px4iofirmware/controls.c b/src/modules/px4iofirmware/controls.c index 58c9429b6..d20f776d6 100644 --- a/src/modules/px4iofirmware/controls.c +++ b/src/modules/px4iofirmware/controls.c @@ -454,6 +454,10 @@ ppm_input(uint16_t *values, uint16_t *num_values, uint16_t *frame_len) { bool result = false; + if (!(num_values) || !(values) || !(frame_len)) { + return result; + } + /* avoid racing with PPM updates */ irqstate_t state = irqsave(); @@ -468,7 +472,7 @@ ppm_input(uint16_t *values, uint16_t *num_values, uint16_t *frame_len) if (*num_values > PX4IO_RC_INPUT_CHANNELS) *num_values = PX4IO_RC_INPUT_CHANNELS; - for (unsigned i = 0; i < *num_values; i++) { + for (unsigned i = 0; ((i < *num_values) && (i < PPM_MAX_CHANNELS)); i++) { values[i] = ppm_buffer[i]; } @@ -476,8 +480,7 @@ ppm_input(uint16_t *values, uint16_t *num_values, uint16_t *frame_len) ppm_last_valid_decode = 0; /* store PPM frame length */ - if (num_values) - *frame_len = ppm_frame_length; + *frame_len = ppm_frame_length; /* good if we got any channels */ result = (*num_values > 0); diff --git a/src/modules/sdlog2/sdlog2.c b/src/modules/sdlog2/sdlog2.c index d35b70239..a3407e42c 100644 --- a/src/modules/sdlog2/sdlog2.c +++ b/src/modules/sdlog2/sdlog2.c @@ -94,6 +94,7 @@ #include <uORB/topics/servorail_status.h> #include <uORB/topics/wind_estimate.h> #include <uORB/topics/encoders.h> +#include <uORB/topics/vtol_vehicle_status.h> #include <systemlib/systemlib.h> #include <systemlib/param/param.h> @@ -1000,6 +1001,7 @@ int sdlog2_thread_main(int argc, char *argv[]) struct satellite_info_s sat_info; struct wind_estimate_s wind_estimate; struct encoders_s encoders; + struct vtol_vehicle_status_s vtol_status; } buf; memset(&buf, 0, sizeof(buf)); @@ -1019,6 +1021,7 @@ int sdlog2_thread_main(int argc, char *argv[]) struct log_GPS_s log_GPS; struct log_ATTC_s log_ATTC; struct log_STAT_s log_STAT; + struct log_VTOL_s log_VTOL; struct log_RC_s log_RC; struct log_OUT0_s log_OUT0; struct log_AIRS_s log_AIRS; @@ -1053,6 +1056,7 @@ int sdlog2_thread_main(int argc, char *argv[]) struct { int cmd_sub; int status_sub; + int vtol_status_sub; int sensor_sub; int att_sub; int att_sp_sub; @@ -1086,6 +1090,7 @@ int sdlog2_thread_main(int argc, char *argv[]) subs.cmd_sub = orb_subscribe(ORB_ID(vehicle_command)); subs.status_sub = orb_subscribe(ORB_ID(vehicle_status)); + subs.vtol_status_sub = orb_subscribe(ORB_ID(vtol_vehicle_status)); subs.gps_pos_sub = orb_subscribe(ORB_ID(vehicle_gps_position)); subs.sensor_sub = orb_subscribe(ORB_ID(sensor_combined)); subs.att_sub = orb_subscribe(ORB_ID(vehicle_attitude)); @@ -1112,6 +1117,7 @@ int sdlog2_thread_main(int argc, char *argv[]) subs.system_power_sub = orb_subscribe(ORB_ID(system_power)); subs.servorail_status_sub = orb_subscribe(ORB_ID(servorail_status)); subs.wind_sub = orb_subscribe(ORB_ID(wind_estimate)); + /* we need to rate-limit wind, as we do not need the full update rate */ orb_set_interval(subs.wind_sub, 90); subs.encoders_sub = orb_subscribe(ORB_ID(encoders)); @@ -1218,6 +1224,13 @@ int sdlog2_thread_main(int argc, char *argv[]) LOGBUFFER_WRITE_AND_COUNT(STAT); } + /* --- VTOL VEHICLE STATUS --- */ + if(copy_if_updated(ORB_ID(vtol_vehicle_status), subs.vtol_status_sub, &buf.vtol_status)) { + log_msg.msg_type = LOG_VTOL_MSG; + log_msg.body.log_VTOL.airspeed_tot = buf.vtol_status.airspeed_tot; + LOGBUFFER_WRITE_AND_COUNT(VTOL); + } + /* --- GPS POSITION - UNIT #1 --- */ if (gps_pos_updated) { @@ -1424,6 +1437,10 @@ int sdlog2_thread_main(int argc, char *argv[]) /* --- ATTITUDE --- */ if (copy_if_updated(ORB_ID(vehicle_attitude), subs.att_sub, &buf.att)) { log_msg.msg_type = LOG_ATT_MSG; + log_msg.body.log_ATT.q_w = buf.att.q[0]; + log_msg.body.log_ATT.q_x = buf.att.q[1]; + log_msg.body.log_ATT.q_y = buf.att.q[2]; + log_msg.body.log_ATT.q_z = buf.att.q[3]; log_msg.body.log_ATT.roll = buf.att.roll; log_msg.body.log_ATT.pitch = buf.att.pitch; log_msg.body.log_ATT.yaw = buf.att.yaw; @@ -1434,18 +1451,6 @@ int sdlog2_thread_main(int argc, char *argv[]) log_msg.body.log_ATT.gy = buf.att.g_comp[1]; log_msg.body.log_ATT.gz = buf.att.g_comp[2]; LOGBUFFER_WRITE_AND_COUNT(ATT); - // secondary attitude - log_msg.msg_type = LOG_ATT2_MSG; - log_msg.body.log_ATT.roll = buf.att.roll_sec; - log_msg.body.log_ATT.pitch = buf.att.pitch_sec; - log_msg.body.log_ATT.yaw = buf.att.yaw_sec; - log_msg.body.log_ATT.roll_rate = buf.att.rollspeed_sec; - log_msg.body.log_ATT.pitch_rate = buf.att.pitchspeed_sec; - log_msg.body.log_ATT.yaw_rate = buf.att.yawspeed_sec; - log_msg.body.log_ATT.gx = buf.att.g_comp_sec[0]; - log_msg.body.log_ATT.gy = buf.att.g_comp_sec[1]; - log_msg.body.log_ATT.gz = buf.att.g_comp_sec[2]; - LOGBUFFER_WRITE_AND_COUNT(ATT); } /* --- ATTITUDE SETPOINT --- */ @@ -1514,7 +1519,6 @@ int sdlog2_thread_main(int argc, char *argv[]) (buf.local_pos.v_z_valid ? 8 : 0) | (buf.local_pos.xy_global ? 16 : 0) | (buf.local_pos.z_global ? 32 : 0); - log_msg.body.log_LPOS.landed = buf.local_pos.landed; log_msg.body.log_LPOS.ground_dist_flags = (buf.local_pos.dist_bottom_valid ? 1 : 0); log_msg.body.log_LPOS.eph = buf.local_pos.eph; log_msg.body.log_LPOS.epv = buf.local_pos.epv; diff --git a/src/modules/sdlog2/sdlog2_messages.h b/src/modules/sdlog2/sdlog2_messages.h index 5941bfac0..7080d9c31 100644 --- a/src/modules/sdlog2/sdlog2_messages.h +++ b/src/modules/sdlog2/sdlog2_messages.h @@ -50,8 +50,11 @@ #pragma pack(push, 1) /* --- ATT - ATTITUDE --- */ #define LOG_ATT_MSG 2 -#define LOG_ATT2_MSG 41 struct log_ATT_s { + float q_w; + float q_x; + float q_y; + float q_z; float roll; float pitch; float yaw; @@ -113,7 +116,6 @@ struct log_LPOS_s { int32_t ref_lon; float ref_alt; uint8_t pos_flags; - uint8_t landed; uint8_t ground_dist_flags; float eph; float epv; @@ -427,6 +429,12 @@ struct log_ENCD_s { /* --- AIR SPEED SENSORS - DIFF. PRESSURE --- */ #define LOG_AIR1_MSG 40 +/* --- VTOL - VTOL VEHICLE STATUS */ +#define LOG_VTOL_MSG 42 +struct log_VTOL_s { + float airspeed_tot; +}; + /********** SYSTEM MESSAGES, ID > 0x80 **********/ /* --- TIME - TIME STAMP --- */ @@ -455,19 +463,20 @@ struct log_PARM_s { static const struct log_format_s log_formats[] = { /* business-level messages, ID < 0x80 */ LOG_FORMAT_S(ATT, ATT, "fffffffff", "Roll,Pitch,Yaw,RollRate,PitchRate,YawRate,GX,GY,GZ"), - LOG_FORMAT_S(ATT2, ATT, "fffffffff", "Roll,Pitch,Yaw,RollRate,PitchRate,YawRate,GX,GY,GZ"), + LOG_FORMAT(ATT, "fffffffffffff", "qw,qx,qy,qz,Roll,Pitch,Yaw,RollRate,PitchRate,YawRate,GX,GY,GZ"), LOG_FORMAT(ATSP, "ffff", "RollSP,PitchSP,YawSP,ThrustSP"), LOG_FORMAT_S(IMU, IMU, "fffffffff", "AccX,AccY,AccZ,GyroX,GyroY,GyroZ,MagX,MagY,MagZ"), LOG_FORMAT_S(IMU1, IMU, "fffffffff", "AccX,AccY,AccZ,GyroX,GyroY,GyroZ,MagX,MagY,MagZ"), LOG_FORMAT_S(IMU2, IMU, "fffffffff", "AccX,AccY,AccZ,GyroX,GyroY,GyroZ,MagX,MagY,MagZ"), LOG_FORMAT_S(SENS, SENS, "fffff", "BaroPres,BaroAlt,BaroTemp,DiffPres,DiffPresFilt"), LOG_FORMAT_S(AIR1, SENS, "fffff", "BaroPa,BaroAlt,BaroTmp,DiffPres,DiffPresF"), - LOG_FORMAT(LPOS, "ffffffffLLfBBBff", "X,Y,Z,Dist,DistR,VX,VY,VZ,RLat,RLon,RAlt,PFlg,LFlg,GFlg,EPH,EPV"), + LOG_FORMAT(LPOS, "ffffffffLLfBBff", "X,Y,Z,Dist,DistR,VX,VY,VZ,RLat,RLon,RAlt,PFlg,GFlg,EPH,EPV"), LOG_FORMAT(LPSP, "ffff", "X,Y,Z,Yaw"), LOG_FORMAT(GPS, "QBffLLfffffBHHH", "GPSTime,Fix,EPH,EPV,Lat,Lon,Alt,VelN,VelE,VelD,Cog,nSat,SNR,N,J"), LOG_FORMAT_S(ATTC, ATTC, "ffff", "Roll,Pitch,Yaw,Thrust"), LOG_FORMAT_S(ATC1, ATTC, "ffff", "Roll,Pitch,Yaw,Thrust"), LOG_FORMAT(STAT, "BBBfBB", "MainState,ArmState,FailsafeState,BatRem,BatWarn,Landed"), + LOG_FORMAT(VTOL, "f", "Arsp"), LOG_FORMAT(RC, "ffffffffBB", "Ch0,Ch1,Ch2,Ch3,Ch4,Ch5,Ch6,Ch7,Count,SignalLost"), LOG_FORMAT(OUT0, "ffffffff", "Out0,Out1,Out2,Out3,Out4,Out5,Out6,Out7"), LOG_FORMAT(AIRS, "fff", "IndSpeed,TrueSpeed,AirTemp"), diff --git a/src/modules/sensors/sensor_params.c b/src/modules/sensors/sensor_params.c index a065541b9..bf5708e0b 100644 --- a/src/modules/sensors/sensor_params.c +++ b/src/modules/sensors/sensor_params.c @@ -98,6 +98,12 @@ PARAM_DEFINE_FLOAT(SENS_GYRO_YSCALE, 1.0f); */ PARAM_DEFINE_FLOAT(SENS_GYRO_ZSCALE, 1.0f); +/** + * ID of Magnetometer the calibration is for. + * + * @group Sensor Calibration + */ +PARAM_DEFINE_INT32(SENS_MAG_ID, 0); /** * Magnetometer X-axis offset diff --git a/src/modules/sensors/sensors.cpp b/src/modules/sensors/sensors.cpp index 0a27367d9..6aa6b6bbd 100644 --- a/src/modules/sensors/sensors.cpp +++ b/src/modules/sensors/sensors.cpp @@ -1,6 +1,6 @@ /**************************************************************************** * - * Copyright (c) 2012-2014 PX4 Development Team. All rights reserved. + * Copyright (c) 2012-2015 PX4 Development Team. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions @@ -1465,7 +1465,7 @@ Sensors::parameter_update_poll(bool forced) /* this sensor is optional, abort without error */ - if (fd > 0) { + if (fd >= 0) { struct airspeed_scale airscale = { _parameters.diff_pres_offset_pa, 1.0f, diff --git a/src/modules/systemlib/err.c b/src/modules/systemlib/err.c index 998b5ac7d..a1a8e7ea8 100644 --- a/src/modules/systemlib/err.c +++ b/src/modules/systemlib/err.c @@ -154,6 +154,7 @@ warn(const char *fmt, ...) va_start(args, fmt); vwarn(fmt, args); + va_end(args); } void @@ -169,6 +170,7 @@ warnc(int errcode, const char *fmt, ...) va_start(args, fmt); vwarnc(errcode, fmt, args); + va_end(args); } void @@ -184,6 +186,7 @@ warnx(const char *fmt, ...) va_start(args, fmt); vwarnx(fmt, args); + va_end(args); } void diff --git a/src/modules/uORB/objects_common.cpp b/src/modules/uORB/objects_common.cpp index 293412455..78fdf4de7 100644 --- a/src/modules/uORB/objects_common.cpp +++ b/src/modules/uORB/objects_common.cpp @@ -83,6 +83,9 @@ ORB_DEFINE(sensor_combined, struct sensor_combined_s); #include "topics/vehicle_gps_position.h" ORB_DEFINE(vehicle_gps_position, struct vehicle_gps_position_s); +#include "topics/vehicle_land_detected.h" +ORB_DEFINE(vehicle_land_detected, struct vehicle_land_detected_s); + #include "topics/satellite_info.h" ORB_DEFINE(satellite_info, struct satellite_info_s); diff --git a/src/modules/uORB/topics/vehicle_land_detected.h b/src/modules/uORB/topics/vehicle_land_detected.h new file mode 100644 index 000000000..51b3568e8 --- /dev/null +++ b/src/modules/uORB/topics/vehicle_land_detected.h @@ -0,0 +1,63 @@ +/**************************************************************************** + * + * Copyright (c) 2013-2015 PX4 Development Team. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in + * the documentation and/or other materials provided with the + * distribution. + * 3. Neither the name PX4 nor the names of its contributors may be + * used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS + * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT + * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS + * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE + * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, + * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, + * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS + * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED + * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN + * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE + * POSSIBILITY OF SUCH DAMAGE. + * + ****************************************************************************/ + +/** + * @file vehicle_land_detected.h + * Land detected uORB topic + * + * @author Johan Jansen <jnsn.johan@gmail.com> + */ + +#ifndef __TOPIC_VEHICLE_LANDED_H__ +#define __TOPIC_VEHICLE_LANDED_H__ + +#include "../uORB.h" + +/** + * @addtogroup topics + * @{ + */ + +struct vehicle_land_detected_s { + uint64_t timestamp; /**< timestamp of the setpoint */ + bool landed; /**< true if vehicle is currently landed on the ground*/ +}; + +/** + * @} + */ + +/* register this as object request broker structure */ +ORB_DECLARE(vehicle_land_detected); + +#endif //__TOPIC_VEHICLE_LANDED_H__ diff --git a/src/modules/uORB/topics/vehicle_local_position.h b/src/modules/uORB/topics/vehicle_local_position.h index 5d39c897d..8b46c5a3f 100644 --- a/src/modules/uORB/topics/vehicle_local_position.h +++ b/src/modules/uORB/topics/vehicle_local_position.h @@ -77,7 +77,6 @@ struct vehicle_local_position_s { double ref_lat; /**< Reference point latitude in degrees */ double ref_lon; /**< Reference point longitude in degrees */ float ref_alt; /**< Reference altitude AMSL in meters, MUST be set to current (not at reference point!) ground level */ - bool landed; /**< true if vehicle is landed */ /* Distance to surface */ float dist_bottom; /**< Distance to bottom surface (ground) */ float dist_bottom_rate; /**< Distance to bottom surface (ground) change rate */ diff --git a/src/modules/uORB/topics/vtol_vehicle_status.h b/src/modules/uORB/topics/vtol_vehicle_status.h index 7b4e22bc8..968c2b6bd 100644 --- a/src/modules/uORB/topics/vtol_vehicle_status.h +++ b/src/modules/uORB/topics/vtol_vehicle_status.h @@ -55,6 +55,7 @@ struct vtol_vehicle_status_s { uint64_t timestamp; /**< Microseconds since system boot */ bool vtol_in_rw_mode; /*true: vtol vehicle is in rotating wing mode */ bool fw_permanent_stab; /**< In fw mode stabilize attitude even if in manual mode*/ + float airspeed_tot; /*< Estimated airspeed over control surfaces */ }; /** diff --git a/src/modules/uORB/uORB.cpp b/src/modules/uORB/uORB.cpp index 149b8f6d2..3373aac83 100644 --- a/src/modules/uORB/uORB.cpp +++ b/src/modules/uORB/uORB.cpp @@ -1,6 +1,6 @@ /**************************************************************************** * - * Copyright (C) 2012 PX4 Development Team. All rights reserved. + * Copyright (Cc) 2012-2015 PX4 Development Team. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions @@ -230,7 +230,7 @@ ORBDevNode::open(struct file *filp) ret = CDev::open(filp); if (ret != OK) - free(sd); + delete sd; return ret; } @@ -817,18 +817,6 @@ uorb_main(int argc, char *argv[]) namespace { -void debug(const char *fmt, ...) -{ - va_list ap; - - va_start(ap, fmt); - vfprintf(stderr, fmt, ap); - va_end(ap); - fprintf(stderr, "\n"); - fflush(stderr); - usleep(100000); -} - /** * Advertise a node; don't consider it an error if the node has * already been advertised. diff --git a/src/modules/vtol_att_control/vtol_att_control_main.cpp b/src/modules/vtol_att_control/vtol_att_control_main.cpp index c72a85ecd..8e68730b8 100644 --- a/src/modules/vtol_att_control/vtol_att_control_main.cpp +++ b/src/modules/vtol_att_control/vtol_att_control_main.cpp @@ -65,6 +65,8 @@ #include <uORB/topics/actuator_armed.h> #include <uORB/topics/airspeed.h> #include <uORB/topics/parameter_update.h> +#include <uORB/topics/vehicle_local_position.h> +#include <uORB/topics/battery_status.h> #include <systemlib/param/param.h> #include <systemlib/err.h> #include <systemlib/perf_counter.h> @@ -105,7 +107,9 @@ private: int _params_sub; //parameter updates subscription int _manual_control_sp_sub; //manual control setpoint subscription int _armed_sub; //arming status subscription + int _local_pos_sub; // sensor subscription int _airspeed_sub; // airspeed subscription + int _battery_status_sub; // battery status subscription int _actuator_inputs_mc; //topic on which the mc_att_controller publishes actuator inputs int _actuator_inputs_fw; //topic on which the fw_att_controller publishes actuator inputs @@ -129,7 +133,9 @@ private: struct actuator_controls_s _actuators_mc_in; //actuator controls from mc_att_control struct actuator_controls_s _actuators_fw_in; //actuator controls from fw_att_control struct actuator_armed_s _armed; //actuator arming status + struct vehicle_local_position_s _local_pos; struct airspeed_s _airspeed; // airspeed + struct battery_status_s _batt_status; // battery status struct { param_t idle_pwm_mc; //pwm value for idle in mc mode @@ -139,6 +145,9 @@ private: float mc_airspeed_trim; // trim airspeed in multicopter mode float mc_airspeed_max; // max airpseed in multicopter mode float fw_pitch_trim; // trim for neutral elevon position in fw mode + float power_max; // maximum power of one engine + float prop_eff; // factor to calculate prop efficiency + float arsp_lp_gain; // total airspeed estimate low pass gain } _params; struct { @@ -149,6 +158,9 @@ private: param_t mc_airspeed_trim; param_t mc_airspeed_max; param_t fw_pitch_trim; + param_t power_max; + param_t prop_eff; + param_t arsp_lp_gain; } _params_handles; perf_counter_t _loop_perf; /**< loop performance counter */ @@ -159,6 +171,7 @@ private: * to waste energy when gliding. */ bool flag_idle_mc; //false = "idle is set for fixed wing mode"; true = "idle is set for multicopter mode" unsigned _motor_count; // number of motors + float _airspeed_tot; //*****************Member functions*********************************************************************** @@ -172,7 +185,9 @@ private: void actuator_controls_fw_poll(); //Check for changes in fw_attitude_control output void vehicle_rates_sp_mc_poll(); void vehicle_rates_sp_fw_poll(); + void vehicle_local_pos_poll(); // Check for changes in sensor values void vehicle_airspeed_poll(); // Check for changes in airspeed + void vehicle_battery_poll(); // Check for battery updates void parameters_update_poll(); //Check if parameters have changed int parameters_update(); //Update local paraemter cache void fill_mc_att_control_output(); //write mc_att_control results to actuator message @@ -182,6 +197,7 @@ private: void set_idle_fw(); void set_idle_mc(); void scale_mc_output(); + void calc_tot_airspeed(); // estimated airspeed seen by elevons }; namespace VTOL_att_control @@ -205,7 +221,9 @@ VtolAttitudeControl::VtolAttitudeControl() : _params_sub(-1), _manual_control_sp_sub(-1), _armed_sub(-1), + _local_pos_sub(-1), _airspeed_sub(-1), + _battery_status_sub(-1), //init publication handlers _actuators_0_pub(-1), @@ -218,6 +236,7 @@ VtolAttitudeControl::VtolAttitudeControl() : { flag_idle_mc = true; + _airspeed_tot = 0.0f; memset(& _vtol_vehicle_status, 0, sizeof(_vtol_vehicle_status)); _vtol_vehicle_status.vtol_in_rw_mode = true; /* start vtol in rotary wing mode*/ @@ -234,7 +253,9 @@ VtolAttitudeControl::VtolAttitudeControl() : memset(&_actuators_mc_in, 0, sizeof(_actuators_mc_in)); memset(&_actuators_fw_in, 0, sizeof(_actuators_fw_in)); memset(&_armed, 0, sizeof(_armed)); + memset(&_local_pos,0,sizeof(_local_pos)); memset(&_airspeed,0,sizeof(_airspeed)); + memset(&_batt_status,0,sizeof(_batt_status)); _params.idle_pwm_mc = PWM_LOWEST_MIN; _params.vtol_motor_count = 0; @@ -247,6 +268,9 @@ VtolAttitudeControl::VtolAttitudeControl() : _params_handles.mc_airspeed_max = param_find("VT_MC_ARSPD_MAX"); _params_handles.mc_airspeed_trim = param_find("VT_MC_ARSPD_TRIM"); _params_handles.fw_pitch_trim = param_find("VT_FW_PITCH_TRIM"); + _params_handles.power_max = param_find("VT_POWER_MAX"); + _params_handles.prop_eff = param_find("VT_PROP_EFF"); + _params_handles.arsp_lp_gain = param_find("VT_ARSP_LP_GAIN"); /* fetch initial parameter values */ parameters_update(); @@ -388,6 +412,19 @@ VtolAttitudeControl::vehicle_airspeed_poll() { } /** +* Check for battery updates. +*/ +void +VtolAttitudeControl::vehicle_battery_poll() { + bool updated; + orb_check(_battery_status_sub, &updated); + + if (updated) { + orb_copy(ORB_ID(battery_status), _battery_status_sub , &_batt_status); + } +} + +/** * Check for parameter updates. */ void @@ -406,6 +443,22 @@ VtolAttitudeControl::parameters_update_poll() } /** +* Check for sensor updates. +*/ +void +VtolAttitudeControl::vehicle_local_pos_poll() +{ + bool updated; + /* Check if parameters have changed */ + orb_check(_local_pos_sub, &updated); + + if (updated) { + orb_copy(ORB_ID(vehicle_local_position), _local_pos_sub , &_local_pos); + } + +} + +/** * Update parameters. */ int @@ -437,6 +490,18 @@ VtolAttitudeControl::parameters_update() param_get(_params_handles.fw_pitch_trim, &v); _params.fw_pitch_trim = v; + /* vtol maximum power engine can produce */ + param_get(_params_handles.power_max, &v); + _params.power_max = v; + + /* vtol propeller efficiency factor */ + param_get(_params_handles.prop_eff, &v); + _params.prop_eff = v; + + /* vtol total airspeed estimate low pass gain */ + param_get(_params_handles.arsp_lp_gain, &v); + _params.arsp_lp_gain = v; + return OK; } @@ -555,7 +620,7 @@ void VtolAttitudeControl::scale_mc_output() { // scale around tuning airspeed float airspeed; - + calc_tot_airspeed(); // estimate air velocity seen by elevons // if airspeed is not updating, we assume the normal average speed if (bool nonfinite = !isfinite(_airspeed.true_airspeed_m_s) || hrt_elapsed_time(&_airspeed.timestamp) > 1e6) { @@ -563,16 +628,12 @@ VtolAttitudeControl::scale_mc_output() { if (nonfinite) { perf_count(_nonfinite_input_perf); } - } else { - // prevent numerical drama by requiring 0.5 m/s minimal speed - airspeed = math::max(0.5f, _airspeed.true_airspeed_m_s); - } - - // Sanity check if airspeed is consistent with throttle - if(_manual_control_sp.z >= 0.35f && airspeed < _params.mc_airspeed_trim) { // XXX magic number, should be hover throttle param - airspeed = _params.mc_airspeed_trim; + } else { + airspeed = _airspeed_tot; + airspeed = math::constrain(airspeed,_params.mc_airspeed_min, _params.mc_airspeed_max); } + _vtol_vehicle_status.airspeed_tot = airspeed; // save value for logging /* * For scaling our actuators using anything less than the min (close to stall) * speed doesn't make any sense - its the strongest reasonable deflection we @@ -584,6 +645,23 @@ VtolAttitudeControl::scale_mc_output() { _actuators_mc_in.control[1] = math::constrain(_actuators_mc_in.control[1]*airspeed_scaling*airspeed_scaling,-1.0f,1.0f); } +void VtolAttitudeControl::calc_tot_airspeed() { + float airspeed = math::max(1.0f, _airspeed.true_airspeed_m_s); // prevent numerical drama + // calculate momentary power of one engine + float P = _batt_status.voltage_filtered_v * _batt_status.current_a / _params.vtol_motor_count; + P = math::constrain(P,1.0f,_params.power_max); + // calculate prop efficiency + float power_factor = 1.0f - P*_params.prop_eff/_params.power_max; + float eta = (1.0f/(1 + expf(-0.4f * power_factor * airspeed)) - 0.5f)*2.0f; + eta = math::constrain(eta,0.001f,1.0f); // live on the safe side + // calculate induced airspeed by propeller + float v_ind = (airspeed/eta - airspeed)*2.0f; + // calculate total airspeed + float airspeed_raw = airspeed + v_ind; + // apply low-pass filter + _airspeed_tot = _params.arsp_lp_gain * (_airspeed_tot - airspeed_raw) + airspeed_raw; +} + void VtolAttitudeControl::task_main_trampoline(int argc, char *argv[]) { @@ -604,7 +682,9 @@ void VtolAttitudeControl::task_main() _params_sub = orb_subscribe(ORB_ID(parameter_update)); _manual_control_sp_sub = orb_subscribe(ORB_ID(manual_control_setpoint)); _armed_sub = orb_subscribe(ORB_ID(actuator_armed)); + _local_pos_sub = orb_subscribe(ORB_ID(vehicle_local_position)); _airspeed_sub = orb_subscribe(ORB_ID(airspeed)); + _battery_status_sub = orb_subscribe(ORB_ID(battery_status)); _actuator_inputs_mc = orb_subscribe(ORB_ID(actuator_controls_virtual_mc)); _actuator_inputs_fw = orb_subscribe(ORB_ID(actuator_controls_virtual_fw)); @@ -674,7 +754,10 @@ void VtolAttitudeControl::task_main() vehicle_rates_sp_mc_poll(); vehicle_rates_sp_fw_poll(); parameters_update_poll(); + vehicle_local_pos_poll(); // Check for new sensor values vehicle_airspeed_poll(); + vehicle_battery_poll(); + if (_manual_control_sp.aux1 <= 0.0f) { /* vehicle is in mc mode */ _vtol_vehicle_status.vtol_in_rw_mode = true; @@ -688,7 +771,8 @@ void VtolAttitudeControl::task_main() if (fds[0].revents & POLLIN) { vehicle_manual_poll(); /* update remote input */ orb_copy(ORB_ID(actuator_controls_virtual_mc), _actuator_inputs_mc, &_actuators_mc_in); - // scale pitch control with airspeed + + // scale pitch control with total airspeed scale_mc_output(); fill_mc_att_control_output(); diff --git a/src/modules/vtol_att_control/vtol_att_control_params.c b/src/modules/vtol_att_control/vtol_att_control_params.c index d1d4697f3..33752b2c4 100644 --- a/src/modules/vtol_att_control/vtol_att_control_params.c +++ b/src/modules/vtol_att_control/vtol_att_control_params.c @@ -64,7 +64,7 @@ PARAM_DEFINE_INT32(VT_IDLE_PWM_MC,900); * @min 0.0 * @group VTOL Attitude Control */ -PARAM_DEFINE_FLOAT(VT_MC_ARSPD_MIN,2.0f); +PARAM_DEFINE_FLOAT(VT_MC_ARSPD_MIN,10.0f); /** * Maximum airspeed in multicopter mode @@ -109,3 +109,36 @@ PARAM_DEFINE_INT32(VT_FW_PERM_STAB,0); */ PARAM_DEFINE_FLOAT(VT_FW_PITCH_TRIM,0.0f); +/** + * Motor max power + * + * Indicates the maximum power the motor is able to produce. Used to calculate + * propeller efficiency map. + * + * @min 1 + * @group VTOL Attitude Control + */ +PARAM_DEFINE_FLOAT(VT_POWER_MAX,120.0f); + +/** + * Propeller efficiency parameter + * + * Influences propeller efficiency at different power settings. Should be tuned beforehand. + * + * @min 0.5 + * @max 0.9 + * @group VTOL Attitude Control + */ +PARAM_DEFINE_FLOAT(VT_PROP_EFF,0.0f); + +/** + * Total airspeed estimate low-pass filter gain + * + * Gain for tuning the low-pass filter for the total airspeed estimate + * + * @min 0.0 + * @max 0.99 + * @group VTOL Attitude Control + */ +PARAM_DEFINE_FLOAT(VT_ARSP_LP_GAIN,0.3f); + diff --git a/src/systemcmds/config/config.c b/src/systemcmds/config/config.c index 4a97d328c..077bc47c9 100644 --- a/src/systemcmds/config/config.c +++ b/src/systemcmds/config/config.c @@ -58,6 +58,7 @@ #include "systemlib/systemlib.h" #include "systemlib/err.h" +#include "systemlib/param/param.h" __EXPORT int config_main(int argc, char *argv[]); @@ -264,8 +265,11 @@ do_mag(int argc, char *argv[]) int srate = ioctl(fd, MAGIOCGSAMPLERATE, 0); int prate = ioctl(fd, SENSORIOCGPOLLRATE, 0); int range = ioctl(fd, MAGIOCGRANGE, 0); + int id = ioctl(fd, DEVIOCGDEVICEID,0); + int32_t calibration_id = 0; + param_get(param_find("SENS_MAG_ID"), &(calibration_id)); - warnx("mag: \n\tsample rate:\t%d Hz\n\tread rate:\t%d Hz\n\trange:\t%d Ga", srate, prate, range); + warnx("mag: \n\tdevice id:\t%x\t(calibration is for device id %x)\n\tsample rate:\t%d Hz\n\tread rate:\t%d Hz\n\trange:\t%d Ga", id, calibration_id, srate, prate, range); close(fd); } diff --git a/src/systemcmds/preflight_check/preflight_check.c b/src/systemcmds/preflight_check/preflight_check.c index 86e4ff545..bbd90b961 100644 --- a/src/systemcmds/preflight_check/preflight_check.c +++ b/src/systemcmds/preflight_check/preflight_check.c @@ -84,6 +84,7 @@ int preflight_check_main(int argc, char *argv[]) /* open text message output path */ int mavlink_fd = open(MAVLINK_LOG_DEVICE, 0); int ret; + int32_t mag_devid,mag_calibration_devid; /* give the system some time to sample the sensors in the background */ usleep(150000); @@ -96,6 +97,16 @@ int preflight_check_main(int argc, char *argv[]) system_ok = false; goto system_eval; } + + mag_devid = ioctl(fd, DEVIOCGDEVICEID,0); + param_get(param_find("SENS_MAG_ID"), &(mag_calibration_devid)); + if (mag_devid != mag_calibration_devid){ + warnx("magnetometer calibration is for a different device - calibrate magnetometer first"); + mavlink_log_critical(mavlink_fd, "SENSOR FAIL: MAG CAL ID"); + system_ok = false; + goto system_eval; + } + ret = ioctl(fd, MAGIOCSELFTEST, 0); if (ret != OK) { |