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ekf2-gravity: nomalize gravity fusion and proper sequential fusion
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@@ -40,14 +40,16 @@
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*/
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#include "ekf.h"
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#include <ekf_derivation/generated/compute_gravity_innov_var_and_k_and_h.h>
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#include <ekf_derivation/generated/compute_gravity_xyz_innov_var_and_hx.h>
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#include <ekf_derivation/generated/compute_gravity_y_innov_var_and_h.h>
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#include <ekf_derivation/generated/compute_gravity_z_innov_var_and_h.h>
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#include <mathlib/mathlib.h>
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void Ekf::controlGravityFusion(const imuSample &imu)
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{
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// get raw accelerometer reading at delayed horizon and expected measurement noise (gaussian)
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const Vector3f measurement = imu.delta_vel / imu.delta_vel_dt - _state.accel_bias;
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const Vector3f measurement = Vector3f(imu.delta_vel / imu.delta_vel_dt - _state.accel_bias).unit();
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const float measurement_var = math::max(sq(_params.gravity_noise), sq(0.01f));
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const float upper_accel_limit = CONSTANTS_ONE_G * 1.1f;
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@@ -60,12 +62,11 @@ void Ekf::controlGravityFusion(const imuSample &imu)
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&& !isHorizontalAidingActive();
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// calculate kalman gains and innovation variances
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Vector3f innovation; // innovation of the last gravity fusion observation (m/s**2)
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Vector3f innovation = _state.quat_nominal.rotateVectorInverse(Vector3f(0.f, 0.f, -1.f)) - measurement;
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Vector3f innovation_variance;
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VectorState Kx, Ky, Kz; // Kalman gain vectors
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sym::ComputeGravityInnovVarAndKAndH(
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_state.vector(), P, measurement, measurement_var, FLT_EPSILON,
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&innovation, &innovation_variance, &Kx, &Ky, &Kz);
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const auto state_vector = _state.vector();
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VectorState H;
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sym::ComputeGravityXyzInnovVarAndHx(state_vector, P, measurement_var, &innovation_variance, &H);
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// fill estimator aid source status
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resetEstimatorAidStatus(_aid_src_gravity);
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@@ -82,16 +83,40 @@ void Ekf::controlGravityFusion(const imuSample &imu)
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float innovation_gate = 0.25f;
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setEstimatorAidStatusTestRatio(_aid_src_gravity, innovation_gate);
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const bool accel_clipping = imu.delta_vel_clipping[0] || imu.delta_vel_clipping[1] || imu.delta_vel_clipping[2];
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bool fused[3] {false, false, false};
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if (_control_status.flags.gravity_vector && !_aid_src_gravity.innovation_rejected && !accel_clipping) {
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// perform fusion for each axis
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_aid_src_gravity.fused = measurementUpdate(Kx, innovation_variance(0), innovation(0))
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&& measurementUpdate(Ky, innovation_variance(1), innovation(1))
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&& measurementUpdate(Kz, innovation_variance(2), innovation(2));
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// update the states and covariance using sequential fusion
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for (uint8_t index = 0; index <= 2; index++) {
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// Calculate Kalman gains and observation jacobians
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if (index == 0) {
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// everything was already computed above
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if (_aid_src_gravity.fused) {
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_aid_src_gravity.time_last_fuse = imu.time_us;
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} else if (index == 1) {
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// recalculate innovation variance because state covariances have changed due to previous fusion (linearise using the same initial state for all axes)
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sym::ComputeGravityYInnovVarAndH(state_vector, P, measurement_var, &_aid_src_gravity.innovation_variance[index], &H);
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// recalculate innovation using the updated state
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_aid_src_gravity.innovation[index] = _state.quat_nominal.rotateVectorInverse(Vector3f(0.f, 0.f, -1.f))(index) - measurement(index);
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} else if (index == 2) {
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// recalculate innovation variance because state covariances have changed due to previous fusion (linearise using the same initial state for all axes)
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sym::ComputeGravityZInnovVarAndH(state_vector, P, measurement_var, &_aid_src_gravity.innovation_variance[index], &H);
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// recalculate innovation using the updated state
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_aid_src_gravity.innovation[index] = _state.quat_nominal.rotateVectorInverse(Vector3f(0.f, 0.f, -1.f))(index) - measurement(index);
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}
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VectorState K = P * H / _aid_src_gravity.innovation_variance[index];
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const bool accel_clipping = imu.delta_vel_clipping[0] || imu.delta_vel_clipping[1] || imu.delta_vel_clipping[2];
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if (_control_status.flags.gravity_vector && !_aid_src_gravity.innovation_rejected && !accel_clipping) {
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fused[index] = measurementUpdate(K, _aid_src_gravity.innovation_variance[index], _aid_src_gravity.innovation[index]);
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}
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}
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if (fused[0] && fused[1] && fused[2]) {
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_aid_src_gravity.fused = true;
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_aid_src_gravity.time_last_fuse = imu.time_us;
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}
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}
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