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-rw-r--r--src/modules/att_pos_estimator_ekf/KalmanNav.cpp198
1 files changed, 110 insertions, 88 deletions
diff --git a/src/modules/att_pos_estimator_ekf/KalmanNav.cpp b/src/modules/att_pos_estimator_ekf/KalmanNav.cpp
index c3836bdfa..97d7fdd75 100644
--- a/src/modules/att_pos_estimator_ekf/KalmanNav.cpp
+++ b/src/modules/att_pos_estimator_ekf/KalmanNav.cpp
@@ -1,6 +1,6 @@
/****************************************************************************
*
- * Copyright (C) 2012 PX4 Development Team. All rights reserved.
+ * Copyright (c) 2012, 2013 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
@@ -40,6 +40,7 @@
#include <poll.h>
#include "KalmanNav.hpp"
+#include <systemlib/err.h>
// constants
// Titterton pg. 52
@@ -58,14 +59,17 @@ KalmanNav::KalmanNav(SuperBlock *parent, const char *name) :
P0(9, 9),
V(6, 6),
// attitude measurement ekf matrices
- HAtt(6, 9),
- RAtt(6, 6),
+ HAtt(4, 9),
+ RAtt(4, 4),
// position measurement ekf matrices
HPos(6, 9),
RPos(6, 6),
// attitude representations
C_nb(),
q(),
+ _accel_sub(-1),
+ _gyro_sub(-1),
+ _mag_sub(-1),
// subscriptions
_sensors(&getSubscriptions(), ORB_ID(sensor_combined), 5), // limit to 200 Hz
_gps(&getSubscriptions(), ORB_ID(vehicle_gps_position), 100), // limit to 10 Hz
@@ -123,8 +127,19 @@ KalmanNav::KalmanNav(SuperBlock *parent, const char *name) :
lon = 0.0f;
alt = 0.0f;
- // initialize quaternions
- q = Quaternion(EulerAngles(phi, theta, psi));
+ // gyro, accel and mag subscriptions
+ _gyro_sub = orb_subscribe(ORB_ID(sensor_gyro));
+ _accel_sub = orb_subscribe(ORB_ID(sensor_accel));
+ _mag_sub = orb_subscribe(ORB_ID(sensor_mag));
+
+ struct accel_report accel;
+ orb_copy(ORB_ID(sensor_accel), _accel_sub, &accel);
+
+ struct mag_report mag;
+ orb_copy(ORB_ID(sensor_mag), _mag_sub, &mag);
+
+ // initialize rotation quaternion with a single raw sensor measurement
+ q = init(accel.x, accel.y, accel.z, mag.x, mag.y, mag.z);
// initialize dcm
C_nb = Dcm(q);
@@ -141,6 +156,45 @@ KalmanNav::KalmanNav(SuperBlock *parent, const char *name) :
updateParams();
}
+math::Quaternion KalmanNav::init(float ax, float ay, float az, float mx, float my, float mz)
+{
+ 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);
+
+ 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);
+
+ float q0 = cosRoll * cosPitch * cosHeading + sinRoll * sinPitch * sinHeading;
+ float q1 = sinRoll * cosPitch * cosHeading - cosRoll * sinPitch * sinHeading;
+ float q2 = cosRoll * sinPitch * cosHeading + sinRoll * cosPitch * sinHeading;
+ float q3 = cosRoll * cosPitch * sinHeading - sinRoll * sinPitch * cosHeading;
+
+ return math::Quaternion(q0, q1, q2, q3);
+
+}
+
void KalmanNav::update()
{
using namespace math;
@@ -181,8 +235,8 @@ void KalmanNav::update()
if (correctAtt() == ret_ok) _attitudeInitCounter++;
if (_attitudeInitCounter > 100) {
- printf("[kalman_demo] initialized EKF attitude\n");
- printf("phi: %8.4f, theta: %8.4f, psi: %8.4f\n",
+ warnx("initialized EKF attitude\n");
+ warnx("phi: %8.4f, theta: %8.4f, psi: %8.4f\n",
double(phi), double(theta), double(psi));
_attitudeInitialized = true;
}
@@ -202,13 +256,13 @@ void KalmanNav::update()
setLonDegE7(_gps.lon);
setAltE3(_gps.alt);
_positionInitialized = true;
- printf("[kalman_demo] initialized EKF state with GPS\n");
- printf("vN: %8.4f, vE: %8.4f, vD: %8.4f, lat: %8.4f, lon: %8.4f, alt: %8.4f\n",
+ warnx("initialized EKF state with GPS\n");
+ warnx("vN: %8.4f, vE: %8.4f, vD: %8.4f, lat: %8.4f, lon: %8.4f, alt: %8.4f\n",
double(vN), double(vE), double(vD),
lat, lon, alt);
}
- // prediciton step
+ // prediction step
// using sensors timestamp so we can account for packet lag
float dt = (_sensors.timestamp - _predictTimeStamp) / 1.0e6f;
//printf("dt: %15.10f\n", double(dt));
@@ -233,7 +287,7 @@ void KalmanNav::update()
// attitude correction step
if (_attitudeInitialized // initialized
&& sensorsUpdate // new data
- && _sensors.timestamp - _attTimeStamp > 1e6 / 20 // 20 Hz
+ && _sensors.timestamp - _attTimeStamp > 1e6 / 50 // 50 Hz
) {
_attTimeStamp = _sensors.timestamp;
correctAtt();
@@ -480,26 +534,32 @@ int KalmanNav::correctAtt()
// trig
float cosPhi = cosf(phi);
float cosTheta = cosf(theta);
- float cosPsi = cosf(psi);
+ // float cosPsi = cosf(psi);
float sinPhi = sinf(phi);
float sinTheta = sinf(theta);
- float sinPsi = sinf(psi);
-
- // mag measurement
- Vector3 zMag(_sensors.magnetometer_ga);
- //float magNorm = zMag.norm();
- zMag = zMag.unit();
+ // float sinPsi = sinf(psi);
// mag predicted measurement
// choosing some typical magnetic field properties,
// TODO dip/dec depend on lat/ lon/ time
- float dip = _magDip.get() / M_RAD_TO_DEG_F; // dip, inclination with level
+ //float dip = _magDip.get() / M_RAD_TO_DEG_F; // dip, inclination with level
float dec = _magDec.get() / M_RAD_TO_DEG_F; // declination, clockwise rotation from north
- float bN = cosf(dip) * cosf(dec);
- float bE = cosf(dip) * sinf(dec);
- float bD = sinf(dip);
- Vector3 bNav(bN, bE, bD);
- Vector3 zMagHat = (C_nb.transpose() * bNav).unit();
+
+ // compensate roll and pitch, but not yaw
+ // XXX take the vectors out of the C_nb matrix to avoid singularities
+ math::Dcm C_rp(math::EulerAngles(phi, theta, 0.0f));//C_nb.transpose();
+
+ // mag measurement
+ Vector3 magBody(_sensors.magnetometer_ga);
+
+ // transform to earth frame
+ Vector3 magNav = C_rp * magBody;
+
+ // calculate error between estimate and measurement
+ // apply declination correction for true heading as well.
+ float yMag = -atan2f(magNav(1),magNav(0)) - psi - dec;
+ if (yMag > M_PI_F) yMag -= 2*M_PI_F;
+ if (yMag < -M_PI_F) yMag += 2*M_PI_F;
// accel measurement
Vector3 zAccel(_sensors.accelerometer_m_s2);
@@ -512,9 +572,9 @@ int KalmanNav::correctAtt()
bool ignoreAccel = fabsf(accelMag - _g.get()) > 1.1f;
if (ignoreAccel) {
+ RAttAdjust(1, 1) = 1.0e10;
+ RAttAdjust(2, 2) = 1.0e10;
RAttAdjust(3, 3) = 1.0e10;
- RAttAdjust(4, 4) = 1.0e10;
- RAttAdjust(5, 5) = 1.0e10;
} else {
//printf("correcting attitude with accel\n");
@@ -523,58 +583,25 @@ int KalmanNav::correctAtt()
// accel predicted measurement
Vector3 zAccelHat = (C_nb.transpose() * Vector3(0, 0, -_g.get())).unit();
- // combined measurement
- Vector zAtt(6);
- Vector zAttHat(6);
+ // calculate residual
+ Vector y(4);
+ y(0) = yMag;
+ y(1) = zAccel(0) - zAccelHat(0);
+ y(2) = zAccel(1) - zAccelHat(1);
+ y(3) = zAccel(2) - zAccelHat(2);
- for (int i = 0; i < 3; i++) {
- zAtt(i) = zMag(i);
- zAtt(i + 3) = zAccel(i);
- zAttHat(i) = zMagHat(i);
- zAttHat(i + 3) = zAccelHat(i);
- }
+ // HMag
+ HAtt(0, 2) = 1;
- // HMag , HAtt (0-2,:)
- float tmp1 =
- cosPsi * cosTheta * bN +
- sinPsi * cosTheta * bE -
- sinTheta * bD;
- HAtt(0, 1) = -(
- cosPsi * sinTheta * bN +
- sinPsi * sinTheta * bE +
- cosTheta * bD
- );
- HAtt(0, 2) = -cosTheta * (sinPsi * bN - cosPsi * bE);
- HAtt(1, 0) =
- (cosPhi * cosPsi * sinTheta + sinPhi * sinPsi) * bN +
- (cosPhi * sinPsi * sinTheta - sinPhi * cosPsi) * bE +
- cosPhi * cosTheta * bD;
- HAtt(1, 1) = sinPhi * tmp1;
- HAtt(1, 2) = -(
- (sinPhi * sinPsi * sinTheta + cosPhi * cosPsi) * bN -
- (sinPhi * cosPsi * sinTheta - cosPhi * sinPsi) * bE
- );
- HAtt(2, 0) = -(
- (sinPhi * cosPsi * sinTheta - cosPhi * sinPsi) * bN +
- (sinPhi * sinPsi * sinTheta + cosPhi * cosPsi) * bE +
- (sinPhi * cosTheta) * bD
- );
- HAtt(2, 1) = cosPhi * tmp1;
- HAtt(2, 2) = -(
- (cosPhi * sinPsi * sinTheta - sinPhi * cosTheta) * bN -
- (cosPhi * cosPsi * sinTheta + sinPhi * sinPsi) * bE
- );
-
- // HAccel , HAtt (3-5,:)
- HAtt(3, 1) = cosTheta;
- HAtt(4, 0) = -cosPhi * cosTheta;
- HAtt(4, 1) = sinPhi * sinTheta;
- HAtt(5, 0) = sinPhi * cosTheta;
- HAtt(5, 1) = cosPhi * sinTheta;
+ // HAccel
+ HAtt(1, 1) = cosTheta;
+ HAtt(2, 0) = -cosPhi * cosTheta;
+ HAtt(2, 1) = sinPhi * sinTheta;
+ HAtt(3, 0) = sinPhi * cosTheta;
+ HAtt(3, 1) = cosPhi * sinTheta;
// compute correction
// http://en.wikipedia.org/wiki/Extended_Kalman_filter
- Vector y = zAtt - zAttHat; // residual
Matrix S = HAtt * P * HAtt.transpose() + RAttAdjust; // residual covariance
Matrix K = P * HAtt.transpose() * S.inverse();
Vector xCorrect = K * y;
@@ -585,7 +612,7 @@ int KalmanNav::correctAtt()
if (isnan(val) || isinf(val)) {
// abort correction and return
- printf("[kalman_demo] numerical failure in att correction\n");
+ warnx("numerical failure in att correction\n");
// reset P matrix to P0
P = P0;
return ret_error;
@@ -615,11 +642,8 @@ int KalmanNav::correctAtt()
float beta = y.dot(S.inverse() * y);
if (beta > _faultAtt.get()) {
- printf("fault in attitude: beta = %8.4f\n", (double)beta);
- printf("y:\n"); y.print();
- printf("zMagHat:\n"); zMagHat.print();
- printf("zMag:\n"); zMag.print();
- printf("bNav:\n"); bNav.print();
+ warnx("fault in attitude: beta = %8.4f", (double)beta);
+ warnx("y:\n"); y.print();
}
// update quaternions from euler
@@ -652,9 +676,9 @@ int KalmanNav::correctPos()
for (size_t i = 0; i < xCorrect.getRows(); i++) {
float val = xCorrect(i);
- if (isnan(val) || isinf(val)) {
+ if (!isfinite(val)) {
// abort correction and return
- printf("[kalman_demo] numerical failure in gps correction\n");
+ warnx("numerical failure in gps correction\n");
// fallback to GPS
vN = _gps.vel_n_m_s;
vE = _gps.vel_e_m_s;
@@ -685,8 +709,8 @@ int KalmanNav::correctPos()
static int counter = 0;
if (beta > _faultPos.get() && (counter % 10 == 0)) {
- printf("fault in gps: beta = %8.4f\n", (double)beta);
- printf("Y/N: vN: %8.4f, vE: %8.4f, lat: %8.4f, lon: %8.4f, alt: %8.4f\n",
+ warnx("fault in gps: beta = %8.4f", (double)beta);
+ warnx("Y/N: vN: %8.4f, vE: %8.4f, lat: %8.4f, lon: %8.4f, alt: %8.4f",
double(y(0) / sqrtf(RPos(0, 0))),
double(y(1) / sqrtf(RPos(1, 1))),
double(y(2) / sqrtf(RPos(2, 2))),
@@ -722,8 +746,6 @@ void KalmanNav::updateParams()
if (noiseMagSq < noiseMin) noiseMagSq = noiseMin;
RAtt(0, 0) = noiseMagSq; // normalized direction
- RAtt(1, 1) = noiseMagSq;
- RAtt(2, 2) = noiseMagSq;
// accelerometer noise
float noiseAccelSq = _rAccel.get() * _rAccel.get();
@@ -731,9 +753,9 @@ void KalmanNav::updateParams()
// bound noise to prevent singularities
if (noiseAccelSq < noiseMin) noiseAccelSq = noiseMin;
- RAtt(3, 3) = noiseAccelSq; // normalized direction
- RAtt(4, 4) = noiseAccelSq;
- RAtt(5, 5) = noiseAccelSq;
+ RAtt(1, 1) = noiseAccelSq; // normalized direction
+ RAtt(2, 2) = noiseAccelSq;
+ RAtt(3, 3) = noiseAccelSq;
// gps noise
float R = R0 + float(alt);