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-/****************************************************************************
- *
- * 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
- * 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 KalmanNav.cpp
- *
- * Kalman filter navigation code
- */
-
-#include <poll.h>
-
-#include "KalmanNav.hpp"
-#include <systemlib/err.h>
-#include <geo/geo.h>
-
-// constants
-// Titterton pg. 52
-static const float omega = 7.2921150e-5f; // earth rotation rate, rad/s
-static const float R0 = 6378137.0f; // earth radius, m
-static const float g0 = 9.806f; // standard gravitational accel. m/s^2
-static const int8_t ret_ok = 0; // no error in function
-static const int8_t ret_error = -1; // error occurred
-
-KalmanNav::KalmanNav(SuperBlock *parent, const char *name) :
- SuperBlock(parent, name),
- // ekf matrices
- F(9, 9),
- G(9, 6),
- P(9, 9),
- P0(9, 9),
- V(6, 6),
- // attitude measurement ekf matrices
- HAtt(4, 9),
- RAtt(4, 4),
- // position measurement ekf matrices
- HPos(6, 9),
- RPos(6, 6),
- // attitude representations
- C_nb(),
- q(),
- // subscriptions
- _sensors(&getSubscriptions(), ORB_ID(sensor_combined), 5), // limit to 200 Hz
- _gps(&getSubscriptions(), ORB_ID(vehicle_gps_position), 100), // limit to 10 Hz
- _param_update(&getSubscriptions(), ORB_ID(parameter_update), 1000), // limit to 1 Hz
- // publications
- _pos(&getPublications(), ORB_ID(vehicle_global_position)),
- _localPos(&getPublications(), ORB_ID(vehicle_local_position)),
- _att(&getPublications(), ORB_ID(vehicle_attitude)),
- // timestamps
- _pubTimeStamp(hrt_absolute_time()),
- _predictTimeStamp(hrt_absolute_time()),
- _attTimeStamp(hrt_absolute_time()),
- _outTimeStamp(hrt_absolute_time()),
- // frame count
- _navFrames(0),
- // miss counts
- _miss(0),
- // accelerations
- fN(0), fE(0), fD(0),
- // state
- phi(0), theta(0), psi(0),
- vN(0), vE(0), vD(0),
- lat(0), lon(0), alt(0),
- lat0(0), lon0(0), alt0(0),
- // parameters for ground station
- _vGyro(this, "V_GYRO"),
- _vAccel(this, "V_ACCEL"),
- _rMag(this, "R_MAG"),
- _rGpsVel(this, "R_GPS_VEL"),
- _rGpsPos(this, "R_GPS_POS"),
- _rGpsAlt(this, "R_GPS_ALT"),
- _rPressAlt(this, "R_PRESS_ALT"),
- _rAccel(this, "R_ACCEL"),
- _magDip(this, "ENV_MAG_DIP"),
- _magDec(this, "ENV_MAG_DEC"),
- _g(this, "ENV_G"),
- _faultPos(this, "FAULT_POS"),
- _faultAtt(this, "FAULT_ATT"),
- _attitudeInitialized(false),
- _positionInitialized(false),
- _attitudeInitCounter(0)
-{
- using namespace math;
-
- // initial state covariance matrix
- P0 = Matrix::identity(9) * 0.01f;
- P = P0;
-
- // initial state
- phi = 0.0f;
- theta = 0.0f;
- psi = 0.0f;
- vN = 0.0f;
- vE = 0.0f;
- vD = 0.0f;
- lat = 0.0f;
- lon = 0.0f;
- alt = 0.0f;
-
- // initialize rotation quaternion with a single raw sensor measurement
- _sensors.update();
- q = init(
- _sensors.accelerometer_m_s2[0],
- _sensors.accelerometer_m_s2[1],
- _sensors.accelerometer_m_s2[2],
- _sensors.magnetometer_ga[0],
- _sensors.magnetometer_ga[1],
- _sensors.magnetometer_ga[2]);
-
- // initialize dcm
- C_nb = Dcm(q);
-
- // HPos is constant
- HPos(0, 3) = 1.0f;
- HPos(1, 4) = 1.0f;
- HPos(2, 6) = 1.0e7f * M_RAD_TO_DEG_F;
- HPos(3, 7) = 1.0e7f * M_RAD_TO_DEG_F;
- HPos(4, 8) = 1.0f;
- HPos(5, 8) = 1.0f;
-
- // initialize all parameters
- 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;
-
- struct pollfd fds[1];
- fds[0].fd = _sensors.getHandle();
- fds[0].events = POLLIN;
-
- // poll for new data
- int ret = poll(fds, 1, 1000);
-
- if (ret < 0) {
- // XXX this is seriously bad - should be an emergency
- return;
-
- } else if (ret == 0) { // timeout
- return;
- }
-
- // get new timestamp
- uint64_t newTimeStamp = hrt_absolute_time();
-
- // check updated subscriptions
- if (_param_update.updated()) updateParams();
-
- bool gpsUpdate = _gps.updated();
- bool sensorsUpdate = _sensors.updated();
-
- // get new information from subscriptions
- // this clears update flag
- updateSubscriptions();
-
- // initialize attitude when sensors online
- if (!_attitudeInitialized && sensorsUpdate) {
- if (correctAtt() == ret_ok) _attitudeInitCounter++;
-
- if (_attitudeInitCounter > 100) {
- warnx("initialized EKF attitude\n");
- warnx("phi: %8.4f, theta: %8.4f, psi: %8.4f\n",
- double(phi), double(theta), double(psi));
- _attitudeInitialized = true;
- }
- }
-
- // initialize position when gps received
- if (!_positionInitialized &&
- _attitudeInitialized && // wait for attitude first
- gpsUpdate &&
- _gps.fix_type > 2
- //&& _gps.counter_pos_valid > 10
- ) {
- vN = _gps.vel_n_m_s;
- vE = _gps.vel_e_m_s;
- vD = _gps.vel_d_m_s;
- setLatDegE7(_gps.lat);
- setLonDegE7(_gps.lon);
- setAltE3(_gps.alt);
- // set reference position for
- // local position
- lat0 = lat;
- lon0 = lon;
- alt0 = alt;
- // XXX map_projection has internal global
- // states that multiple things could change,
- // should make map_projection take reference
- // lat/lon and not have init
- map_projection_init(lat0, lon0);
- _positionInitialized = true;
- 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, double(alt));
- }
-
- // 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));
- _predictTimeStamp = _sensors.timestamp;
-
- // don't predict if time greater than a second
- if (dt < 1.0f) {
- predictState(dt);
- predictStateCovariance(dt);
- // count fast frames
- _navFrames += 1;
- }
-
- // count times 100 Hz rate isn't met
- if (dt > 0.01f) _miss++;
-
- // gps correction step
- if (_positionInitialized && gpsUpdate) {
- correctPos();
- }
-
- // attitude correction step
- if (_attitudeInitialized // initialized
- && sensorsUpdate // new data
- && _sensors.timestamp - _attTimeStamp > 1e6 / 50 // 50 Hz
- ) {
- _attTimeStamp = _sensors.timestamp;
- correctAtt();
- }
-
- // publication
- if (newTimeStamp - _pubTimeStamp > 1e6 / 50) { // 50 Hz
- _pubTimeStamp = newTimeStamp;
-
- updatePublications();
- }
-
- // output
- if (newTimeStamp - _outTimeStamp > 10e6) { // 0.1 Hz
- _outTimeStamp = newTimeStamp;
- //printf("nav: %4d Hz, miss #: %4d\n",
- // _navFrames / 10, _miss / 10);
- _navFrames = 0;
- _miss = 0;
- }
-}
-
-void KalmanNav::updatePublications()
-{
- using namespace math;
-
- // global position publication
- _pos.timestamp = _pubTimeStamp;
- _pos.time_gps_usec = _gps.timestamp_position;
- _pos.valid = true;
- _pos.lat = getLatDegE7();
- _pos.lon = getLonDegE7();
- _pos.alt = float(alt);
- _pos.relative_alt = float(alt); // TODO, make relative
- _pos.vx = vN;
- _pos.vy = vE;
- _pos.vz = vD;
- _pos.yaw = psi;
-
- // local position publication
- float x;
- float y;
- bool landed = alt < (alt0 + 0.1); // XXX improve?
- map_projection_project(lat, lon, &x, &y);
- _localPos.timestamp = _pubTimeStamp;
- _localPos.xy_valid = true;
- _localPos.z_valid = true;
- _localPos.v_xy_valid = true;
- _localPos.v_z_valid = true;
- _localPos.x = x;
- _localPos.y = y;
- _localPos.z = alt0 - alt;
- _localPos.vx = vN;
- _localPos.vy = vE;
- _localPos.vz = vD;
- _localPos.yaw = psi;
- _localPos.xy_global = true;
- _localPos.z_global = true;
- _localPos.ref_timestamp = _pubTimeStamp;
- _localPos.ref_lat = getLatDegE7();
- _localPos.ref_lon = getLonDegE7();
- _localPos.ref_alt = 0;
- _localPos.landed = landed;
-
- // attitude publication
- _att.timestamp = _pubTimeStamp;
- _att.roll = phi;
- _att.pitch = theta;
- _att.yaw = psi;
- _att.rollspeed = _sensors.gyro_rad_s[0];
- _att.pitchspeed = _sensors.gyro_rad_s[1];
- _att.yawspeed = _sensors.gyro_rad_s[2];
- // TODO, add gyro offsets to filter
- _att.rate_offsets[0] = 0.0f;
- _att.rate_offsets[1] = 0.0f;
- _att.rate_offsets[2] = 0.0f;
-
- for (int i = 0; i < 3; i++) for (int j = 0; j < 3; j++)
- _att.R[i][j] = C_nb(i, j);
-
- for (int i = 0; i < 4; i++) _att.q[i] = q(i);
-
- _att.R_valid = true;
- _att.q_valid = true;
-
- // selectively update publications,
- // do NOT call superblock do-all method
- if (_positionInitialized) {
- _pos.update();
- _localPos.update();
- }
-
- if (_attitudeInitialized)
- _att.update();
-}
-
-int KalmanNav::predictState(float dt)
-{
- using namespace math;
-
- // trig
- float sinL = sinf(lat);
- float cosL = cosf(lat);
- float cosLSing = cosf(lat);
-
- // prevent singularity
- if (fabsf(cosLSing) < 0.01f) {
- if (cosLSing > 0) cosLSing = 0.01;
- else cosLSing = -0.01;
- }
-
- // attitude prediction
- if (_attitudeInitialized) {
- Vector3 w(_sensors.gyro_rad_s);
-
- // attitude
- q = q + q.derivative(w) * dt;
-
- // renormalize quaternion if needed
- if (fabsf(q.norm() - 1.0f) > 1e-4f) {
- q = q.unit();
- }
-
- // C_nb update
- C_nb = Dcm(q);
-
- // euler update
- EulerAngles euler(C_nb);
- phi = euler.getPhi();
- theta = euler.getTheta();
- psi = euler.getPsi();
-
- // specific acceleration in nav frame
- Vector3 accelB(_sensors.accelerometer_m_s2);
- Vector3 accelN = C_nb * accelB;
- fN = accelN(0);
- fE = accelN(1);
- fD = accelN(2);
- }
-
- // position prediction
- if (_positionInitialized) {
- // neglects angular deflections in local gravity
- // see Titerton pg. 70
- float R = R0 + float(alt);
- float LDot = vN / R;
- float lDot = vE / (cosLSing * R);
- float rotRate = 2 * omega + lDot;
-
- // XXX position prediction using speed
- float vNDot = fN - vE * rotRate * sinL +
- vD * LDot;
- float vDDot = fD - vE * rotRate * cosL -
- vN * LDot + _g.get();
- float vEDot = fE + vN * rotRate * sinL +
- vDDot * rotRate * cosL;
-
- // rectangular integration
- vN += vNDot * dt;
- vE += vEDot * dt;
- vD += vDDot * dt;
- lat += double(LDot * dt);
- lon += double(lDot * dt);
- alt += double(-vD * dt);
- }
-
- return ret_ok;
-}
-
-int KalmanNav::predictStateCovariance(float dt)
-{
- using namespace math;
-
- // trig
- float sinL = sinf(lat);
- float cosL = cosf(lat);
- float cosLSq = cosL * cosL;
- float tanL = tanf(lat);
-
- // prepare for matrix
- float R = R0 + float(alt);
- float RSq = R * R;
-
- // F Matrix
- // Titterton pg. 291
-
- F(0, 1) = -(omega * sinL + vE * tanL / R);
- F(0, 2) = vN / R;
- F(0, 4) = 1.0f / R;
- F(0, 6) = -omega * sinL;
- F(0, 8) = -vE / RSq;
-
- F(1, 0) = omega * sinL + vE * tanL / R;
- F(1, 2) = omega * cosL + vE / R;
- F(1, 3) = -1.0f / R;
- F(1, 8) = vN / RSq;
-
- F(2, 0) = -vN / R;
- F(2, 1) = -omega * cosL - vE / R;
- F(2, 4) = -tanL / R;
- F(2, 6) = -omega * cosL - vE / (R * cosLSq);
- F(2, 8) = vE * tanL / RSq;
-
- F(3, 1) = -fD;
- F(3, 2) = fE;
- F(3, 3) = vD / R;
- F(3, 4) = -2 * (omega * sinL + vE * tanL / R);
- F(3, 5) = vN / R;
- F(3, 6) = -vE * (2 * omega * cosL + vE / (R * cosLSq));
- F(3, 8) = (vE * vE * tanL - vN * vD) / RSq;
-
- F(4, 0) = fD;
- F(4, 2) = -fN;
- F(4, 3) = 2 * omega * sinL + vE * tanL / R;
- F(4, 4) = (vN * tanL + vD) / R;
- F(4, 5) = 2 * omega * cosL + vE / R;
- F(4, 6) = 2 * omega * (vN * cosL - vD * sinL) +
- vN * vE / (R * cosLSq);
- F(4, 8) = -vE * (vN * tanL + vD) / RSq;
-
- F(5, 0) = -fE;
- F(5, 1) = fN;
- F(5, 3) = -2 * vN / R;
- F(5, 4) = -2 * (omega * cosL + vE / R);
- F(5, 6) = 2 * omega * vE * sinL;
- F(5, 8) = (vN * vN + vE * vE) / RSq;
-
- F(6, 3) = 1 / R;
- F(6, 8) = -vN / RSq;
-
- F(7, 4) = 1 / (R * cosL);
- F(7, 6) = vE * tanL / (R * cosL);
- F(7, 8) = -vE / (cosL * RSq);
-
- F(8, 5) = -1;
-
- // G Matrix
- // Titterton pg. 291
- G(0, 0) = -C_nb(0, 0);
- G(0, 1) = -C_nb(0, 1);
- G(0, 2) = -C_nb(0, 2);
- G(1, 0) = -C_nb(1, 0);
- G(1, 1) = -C_nb(1, 1);
- G(1, 2) = -C_nb(1, 2);
- G(2, 0) = -C_nb(2, 0);
- G(2, 1) = -C_nb(2, 1);
- G(2, 2) = -C_nb(2, 2);
-
- G(3, 3) = C_nb(0, 0);
- G(3, 4) = C_nb(0, 1);
- G(3, 5) = C_nb(0, 2);
- G(4, 3) = C_nb(1, 0);
- G(4, 4) = C_nb(1, 1);
- G(4, 5) = C_nb(1, 2);
- G(5, 3) = C_nb(2, 0);
- G(5, 4) = C_nb(2, 1);
- G(5, 5) = C_nb(2, 2);
-
- // continuous predictioon equations
- // for discrte time EKF
- // http://en.wikipedia.org/wiki/Extended_Kalman_filter
- P = P + (F * P + P * F.transpose() + G * V * G.transpose()) * dt;
-
- return ret_ok;
-}
-
-int KalmanNav::correctAtt()
-{
- using namespace math;
-
- // trig
- float cosPhi = cosf(phi);
- float cosTheta = cosf(theta);
- // float cosPsi = cosf(psi);
- float sinPhi = sinf(phi);
- float sinTheta = sinf(theta);
- // 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 dec = _magDec.get() / M_RAD_TO_DEG_F; // declination, clockwise rotation from north
-
- // 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);
- float accelMag = zAccel.norm();
- zAccel = zAccel.unit();
-
- // ignore accel correction when accel mag not close to g
- Matrix RAttAdjust = RAtt;
-
- 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;
-
- } else {
- //printf("correcting attitude with accel\n");
- }
-
- // accel predicted measurement
- Vector3 zAccelHat = (C_nb.transpose() * Vector3(0, 0, -_g.get())).unit();
-
- // 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);
-
- // HMag
- HAtt(0, 2) = 1;
-
- // 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
- Matrix S = HAtt * P * HAtt.transpose() + RAttAdjust; // residual covariance
- Matrix K = P * HAtt.transpose() * S.inverse();
- Vector xCorrect = K * y;
-
- // check correciton is sane
- for (size_t i = 0; i < xCorrect.getRows(); i++) {
- float val = xCorrect(i);
-
- if (isnan(val) || isinf(val)) {
- // abort correction and return
- warnx("numerical failure in att correction\n");
- // reset P matrix to P0
- P = P0;
- return ret_error;
- }
- }
-
- // correct state
- if (!ignoreAccel) {
- phi += xCorrect(PHI);
- theta += xCorrect(THETA);
- }
-
- psi += xCorrect(PSI);
-
- // attitude also affects nav velocities
- if (_positionInitialized) {
- vN += xCorrect(VN);
- vE += xCorrect(VE);
- vD += xCorrect(VD);
- }
-
- // update state covariance
- // http://en.wikipedia.org/wiki/Extended_Kalman_filter
- P = P - K * HAtt * P;
-
- // fault detection
- float beta = y.dot(S.inverse() * y);
-
- if (beta > _faultAtt.get()) {
- warnx("fault in attitude: beta = %8.4f", (double)beta);
- warnx("y:"); y.print();
- }
-
- // update quaternions from euler
- // angle correction
- q = Quaternion(EulerAngles(phi, theta, psi));
-
- return ret_ok;
-}
-
-int KalmanNav::correctPos()
-{
- using namespace math;
-
- // residual
- Vector y(6);
- y(0) = _gps.vel_n_m_s - vN;
- y(1) = _gps.vel_e_m_s - vE;
- y(2) = double(_gps.lat) - double(lat) * 1.0e7 * M_RAD_TO_DEG;
- y(3) = double(_gps.lon) - double(lon) * 1.0e7 * M_RAD_TO_DEG;
- y(4) = _gps.alt / 1.0e3f - alt;
- y(5) = _sensors.baro_alt_meter - alt;
-
- // compute correction
- // http://en.wikipedia.org/wiki/Extended_Kalman_filter
- Matrix S = HPos * P * HPos.transpose() + RPos; // residual covariance
- Matrix K = P * HPos.transpose() * S.inverse();
- Vector xCorrect = K * y;
-
- // check correction is sane
- for (size_t i = 0; i < xCorrect.getRows(); i++) {
- float val = xCorrect(i);
-
- if (!isfinite(val)) {
- // abort correction and return
- warnx("numerical failure in gps correction\n");
- // fallback to GPS
- vN = _gps.vel_n_m_s;
- vE = _gps.vel_e_m_s;
- vD = _gps.vel_d_m_s;
- setLatDegE7(_gps.lat);
- setLonDegE7(_gps.lon);
- setAltE3(_gps.alt);
- // reset P matrix to P0
- P = P0;
- return ret_error;
- }
- }
-
- // correct state
- vN += xCorrect(VN);
- vE += xCorrect(VE);
- vD += xCorrect(VD);
- lat += double(xCorrect(LAT));
- lon += double(xCorrect(LON));
- alt += xCorrect(ALT);
-
- // update state covariance
- // http://en.wikipedia.org/wiki/Extended_Kalman_filter
- P = P - K * HPos * P;
-
- // fault detetcion
- float beta = y.dot(S.inverse() * y);
-
- static int counter = 0;
- if (beta > _faultPos.get() && (counter % 10 == 0)) {
- 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, baro: %8.4f",
- double(y(0) / sqrtf(RPos(0, 0))),
- double(y(1) / sqrtf(RPos(1, 1))),
- double(y(2) / sqrtf(RPos(2, 2))),
- double(y(3) / sqrtf(RPos(3, 3))),
- double(y(4) / sqrtf(RPos(4, 4))),
- double(y(5) / sqrtf(RPos(5, 5))));
- }
- counter++;
-
- return ret_ok;
-}
-
-void KalmanNav::updateParams()
-{
- using namespace math;
- using namespace control;
- SuperBlock::updateParams();
-
- // gyro noise
- V(0, 0) = _vGyro.get(); // gyro x, rad/s
- V(1, 1) = _vGyro.get(); // gyro y
- V(2, 2) = _vGyro.get(); // gyro z
-
- // accel noise
- V(3, 3) = _vAccel.get(); // accel x, m/s^2
- V(4, 4) = _vAccel.get(); // accel y
- V(5, 5) = _vAccel.get(); // accel z
-
- // magnetometer noise
- float noiseMin = 1e-6f;
- float noiseMagSq = _rMag.get() * _rMag.get();
-
- if (noiseMagSq < noiseMin) noiseMagSq = noiseMin;
-
- RAtt(0, 0) = noiseMagSq; // normalized direction
-
- // accelerometer noise
- float noiseAccelSq = _rAccel.get() * _rAccel.get();
-
- // bound noise to prevent singularities
- if (noiseAccelSq < noiseMin) noiseAccelSq = noiseMin;
-
- RAtt(1, 1) = noiseAccelSq; // normalized direction
- RAtt(2, 2) = noiseAccelSq;
- RAtt(3, 3) = noiseAccelSq;
-
- // gps noise
- float R = R0 + float(alt);
- float cosLSing = cosf(lat);
-
- // prevent singularity
- if (fabsf(cosLSing) < 0.01f) {
- if (cosLSing > 0) cosLSing = 0.01;
- else cosLSing = -0.01;
- }
-
- float noiseVel = _rGpsVel.get();
- float noiseLatDegE7 = 1.0e7f * M_RAD_TO_DEG_F * _rGpsPos.get() / R;
- float noiseLonDegE7 = noiseLatDegE7 / cosLSing;
- float noiseGpsAlt = _rGpsAlt.get();
- float noisePressAlt = _rPressAlt.get();
-
- // bound noise to prevent singularities
- if (noiseVel < noiseMin) noiseVel = noiseMin;
-
- if (noiseLatDegE7 < noiseMin) noiseLatDegE7 = noiseMin;
-
- if (noiseLonDegE7 < noiseMin) noiseLonDegE7 = noiseMin;
-
- if (noiseGpsAlt < noiseMin) noiseGpsAlt = noiseMin;
-
- if (noisePressAlt < noiseMin) noisePressAlt = noiseMin;
-
- RPos(0, 0) = noiseVel * noiseVel; // vn
- RPos(1, 1) = noiseVel * noiseVel; // ve
- RPos(2, 2) = noiseLatDegE7 * noiseLatDegE7; // lat
- RPos(3, 3) = noiseLonDegE7 * noiseLonDegE7; // lon
- RPos(4, 4) = noiseGpsAlt * noiseGpsAlt; // h
- RPos(5, 5) = noisePressAlt * noisePressAlt; // h
- // XXX, note that RPos depends on lat, so updateParams should
- // be called if lat changes significantly
-}