diff --git a/CMakeLists.txt b/CMakeLists.txt index 351fe611ce..742c50bee4 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -54,6 +54,7 @@ px4_add_module( EKF/sideslip_fusion.cpp EKF/terrain_estimator.cpp EKF/vel_pos_fusion.cpp + EKF/drag_fusion.cpp l1/ecl_l1_pos_controller.cpp validation/data_validator.cpp validation/data_validator_group.cpp diff --git a/EKF/CMakeLists.txt b/EKF/CMakeLists.txt index 10d92ad81a..f87fe30993 100644 --- a/EKF/CMakeLists.txt +++ b/EKF/CMakeLists.txt @@ -71,6 +71,7 @@ set(SRCS sideslip_fusion.cpp terrain_estimator.cpp vel_pos_fusion.cpp + drag_fusion.cpp ) add_definitions(-DPOSIX_SHARED) diff --git a/EKF/common.h b/EKF/common.h index 0b05d7921d..366c287187 100644 --- a/EKF/common.h +++ b/EKF/common.h @@ -157,6 +157,7 @@ struct extVisionSample { #define MASK_INHIBIT_ACC_BIAS (1<<2) // set to true to inhibit estimation of accelerometer delta velocity bias #define MASK_USE_EVPOS (1<<3) // set to true to use external vision NED position data #define MASK_USE_EVYAW (1<<4) // set to true to use exernal vision quaternion data for yaw +#define MASK_USE_DRAG (1<<5) // set to true to use the multi-rotor drag model to estimate wind // Integer definitions for mag_fusion_type #define MAG_FUSE_TYPE_AUTO 0 // The selection of either heading or 3D magnetometer fusion will be automatic @@ -176,7 +177,7 @@ struct extVisionSample { struct parameters { // measurement source control - int fusion_mode; // bitmasked integer that selects which of the GPS and optical flow aiding sources will be used + int fusion_mode; // bitmasked integer that selects which aiding sources will be used int vdist_sensor_type; // selects the primary source for height data int sensor_interval_min_ms; // minimum time of arrival difference between non IMU sensor updates. Sets the size of the observation buffers. @@ -447,7 +448,7 @@ union innovation_fault_status_u { bool reject_sideslip: 1; // 8 - true if the synthetic sideslip observation has been rejected bool reject_hagl: 1; // 9 - true if the height above ground observation has been rejected bool reject_optflow_X: 1; // 10 - true if the X optical flow observation has been rejected - bool reject_optflow_Y: 1; // 11 - true if the Y optical flow observation has been rejected + bool reject_optflow_Y: 1; // 11 - true if the Y optical flow observation has been rejected } flags; uint16_t value; diff --git a/EKF/control.cpp b/EKF/control.cpp index 43af6e137c..f19fabfe73 100644 --- a/EKF/control.cpp +++ b/EKF/control.cpp @@ -106,6 +106,7 @@ void Ekf::controlFusionModes() controlRangeFinderFusion(); controlAirDataFusion(); controlBetaFusion(); + controlDragFusion(); // for efficiency, fusion of direct state observations for position and velocity is performed sequentially // in a single function using sensor data from multiple sources (GPS, external vision, baro, range finder, etc) @@ -793,7 +794,7 @@ void Ekf::controlAirDataFusion() // If both airspeed and sideslip fusion have timed out then we no longer have valid wind estimates bool airspeed_timed_out = _time_last_imu - _time_last_arsp_fuse > 10e6; bool sideslip_timed_out = _time_last_imu - _time_last_beta_fuse > 10e6; - if (_control_status.flags.wind && airspeed_timed_out && sideslip_timed_out) { + if (_control_status.flags.wind && airspeed_timed_out && sideslip_timed_out && !(_params.fusion_mode & MASK_USE_DRAG)) { // if the airspeed or sideslip measurements have timed out for 10 seconds we declare the wind estimate to be invalid _control_status.flags.wind = false; @@ -827,7 +828,7 @@ void Ekf::controlBetaFusion() // If both airspeed and sideslip fusion have timed out then we no longer have valid wind estimates bool sideslip_timed_out = _time_last_imu - _time_last_beta_fuse > 10e6; bool airspeed_timed_out = _time_last_imu - _time_last_arsp_fuse > 10e6; - if(_control_status.flags.wind && airspeed_timed_out && sideslip_timed_out){ + if(_control_status.flags.wind && airspeed_timed_out && sideslip_timed_out && !(_params.fusion_mode & MASK_USE_DRAG)){ _control_status.flags.wind = false; } @@ -860,6 +861,22 @@ void Ekf::controlBetaFusion() } +void Ekf::controlDragFusion() +{ + if (_params.fusion_mode & MASK_USE_DRAG && _control_status.flags.in_air) { + if (!_control_status.flags.wind) { + _control_status.flags.wind = true; + resetWindStates(); + resetWindCovariance(); + + } else { + fuseDrag(); + } + } else { + _control_status.flags.wind = false; + } +} + void Ekf::controlMagFusion() { // If we are using external vision data for heading then no magnetometer fusion is used diff --git a/EKF/covariance.cpp b/EKF/covariance.cpp index eb9b7b0b91..63a66a8670 100644 --- a/EKF/covariance.cpp +++ b/EKF/covariance.cpp @@ -864,8 +864,8 @@ void Ekf::resetWindCovariance() } else { // without airspeed, start with a small initial uncertainty to improve the initial estimate - P[22][22] = sq(5.0f); - P[23][23] = sq(5.0f); + P[22][22] = sq(1.0f); + P[23][23] = sq(1.0f); } diff --git a/EKF/drag_fusion.cpp b/EKF/drag_fusion.cpp new file mode 100644 index 0000000000..e910e85bd6 --- /dev/null +++ b/EKF/drag_fusion.cpp @@ -0,0 +1,315 @@ +/**************************************************************************** + * + * Copyright (c) 2015 Estimation and Control Library (ECL). 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 ECL 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 drag_fusion.cpp + * body frame drag fusion methods used for multi-rotor wind estimation. + * + * @author Paul Riseborough + * + */ +#include "../ecl.h" +#include "ekf.h" +#include "mathlib.h" + +void Ekf::fuseDrag() +{ + float SH_ACC[4] = {}; // Variable used to optimise calculations of measurement jacobian + float H_ACC[24] = {}; // Observation Jacobian + float SK_ACC[9] = {}; // Variable used to optimise calculations of the Kalman gain vector + float Kfusion[24] = {}; // Kalman gain vector + float R_ACC = 2.5f; // observation noise in specific force drag (m/sec**2) TODO add tuning parameter + + float eas2tas = 1.0f; // conversion factor from EAS to TAS - TODO calculate from barometric pressure + float rho = 1.225f / sqrtf(eas2tas); // air density (kg/m**3) + + // measured steady state EAS at specified tilt angle in X and Y directions + // TODO make the speeds tuning parameters + const float max_spd_x = 15.0f; + const float max_spd_y = 15.0f; + const float tilt_ref_angle = math::radians(25.0f); + + // calculate inverse of ballistic coefficient from max speed and tilt angle + // used to predict the acceleration for a given predicted state vector + float numerator = 2.0f*_gravity_mss*tanf(tilt_ref_angle); + float BC_inv_x = numerator / (rho * sq(max_spd_x)); + float BC_inv_y = numerator / (rho * sq(max_spd_y)); + + // get latest estimated orientation + float q0 = _state.quat_nominal(0); + float q1 = _state.quat_nominal(1); + float q2 = _state.quat_nominal(2); + float q3 = _state.quat_nominal(3); + + // get latest velocity in earth frame + float vn = _state.vel(0); + float ve = _state.vel(1); + float vd = _state.vel(2); + + // get latest wind velocity in earth frame + float vwn = _state.wind_vel(0); + float vwe = _state.wind_vel(1); + + // calculate measured XY specific forces if enough data + if (_imu_sample_delayed.delta_vel_dt < 1e-3f) { + return; + } + + // predicted specific forces + // calculate relative wind velocity in earth frame and rotte into body frame + Vector3f rel_wind; + rel_wind(0) = vn - vwn; + rel_wind(1) = ve - vwe; + rel_wind(2) = vd; + matrix::Dcm earth_to_body(_state.quat_nominal); + earth_to_body = earth_to_body.transpose(); + rel_wind = earth_to_body * rel_wind; + + // perform sequential fusion of XY specific forces + for (uint8_t axis_index = 0; axis_index <2; axis_index++) { + // calculate observation jacobiam and Kalman gain vectors + if (axis_index == 0) { + // Estimate the airspeed from the measured drag force and ballistic coefficient + float mea_acc = (_imu_sample_delayed.delta_vel(axis_index) - _state.accel_bias(axis_index))/_imu_sample_delayed.delta_vel_dt; + float airSpd = sqrtf((2.0f * fabsf(mea_acc)) / (BC_inv_x * rho)); + + // Estimate the derivative of specific force wrt airspeed along the X axis + // Limit lower value to prevent artithmetic exceptions + float Kacc = fmax(1e-1f,rho * BC_inv_x * airSpd); + + SH_ACC[0] = sq(q0) + sq(q1) - sq(q2) - sq(q3); + SH_ACC[1] = vn - vwn; + SH_ACC[2] = ve - vwe; + SH_ACC[3] = 2.0f*q0*q3 + 2.0f*q1*q2; + H_ACC[0] = -Kacc*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd); + H_ACC[1] = -Kacc*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd); + H_ACC[2] = Kacc*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd); + H_ACC[3] = -Kacc*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd); + H_ACC[4] = -Kacc*SH_ACC[0]; + H_ACC[5] = -Kacc*SH_ACC[3]; + H_ACC[6] = Kacc*(2.0f*q0*q2 - 2.0f*q1*q3); + H_ACC[22] = Kacc*SH_ACC[0]; + H_ACC[23] = Kacc*SH_ACC[3]; + _drag_innov_var[0] = (R_ACC + Kacc*SH_ACC[0]*(Kacc*P[4][4]*SH_ACC[0] + Kacc*P[5][4]*SH_ACC[3] - Kacc*P[22][4]*SH_ACC[0] - Kacc*P[23][4]*SH_ACC[3] - Kacc*P[6][4]*(2.0f*q0*q2 - 2.0f*q1*q3) + Kacc*P[0][4]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd) + Kacc*P[1][4]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[2][4]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[3][4]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd)) + Kacc*SH_ACC[3]*(Kacc*P[4][5]*SH_ACC[0] + Kacc*P[5][5]*SH_ACC[3] - Kacc*P[22][5]*SH_ACC[0] - Kacc*P[23][5]*SH_ACC[3] - Kacc*P[6][5]*(2.0f*q0*q2 - 2.0f*q1*q3) + Kacc*P[0][5]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd) + Kacc*P[1][5]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[2][5]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[3][5]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd)) - Kacc*SH_ACC[0]*(Kacc*P[4][22]*SH_ACC[0] + Kacc*P[5][22]*SH_ACC[3] - Kacc*P[22][22]*SH_ACC[0] - Kacc*P[23][22]*SH_ACC[3] - Kacc*P[6][22]*(2.0f*q0*q2 - 2.0f*q1*q3) + Kacc*P[0][22]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd) + Kacc*P[1][22]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[2][22]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[3][22]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd)) - Kacc*SH_ACC[3]*(Kacc*P[4][23]*SH_ACC[0] + Kacc*P[5][23]*SH_ACC[3] - Kacc*P[22][23]*SH_ACC[0] - Kacc*P[23][23]*SH_ACC[3] - Kacc*P[6][23]*(2.0f*q0*q2 - 2.0f*q1*q3) + Kacc*P[0][23]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd) + Kacc*P[1][23]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[2][23]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[3][23]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd)) - Kacc*(2.0f*q0*q2 - 2.0f*q1*q3)*(Kacc*P[4][6]*SH_ACC[0] + Kacc*P[5][6]*SH_ACC[3] - Kacc*P[22][6]*SH_ACC[0] - Kacc*P[23][6]*SH_ACC[3] - Kacc*P[6][6]*(2.0f*q0*q2 - 2.0f*q1*q3) + Kacc*P[0][6]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd) + Kacc*P[1][6]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[2][6]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[3][6]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd)) + Kacc*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd)*(Kacc*P[4][0]*SH_ACC[0] + Kacc*P[5][0]*SH_ACC[3] - Kacc*P[22][0]*SH_ACC[0] - Kacc*P[23][0]*SH_ACC[3] - Kacc*P[6][0]*(2.0f*q0*q2 - 2.0f*q1*q3) + Kacc*P[0][0]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd) + Kacc*P[1][0]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[2][0]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[3][0]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd)) + Kacc*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd)*(Kacc*P[4][1]*SH_ACC[0] + Kacc*P[5][1]*SH_ACC[3] - Kacc*P[22][1]*SH_ACC[0] - Kacc*P[23][1]*SH_ACC[3] - Kacc*P[6][1]*(2.0f*q0*q2 - 2.0f*q1*q3) + Kacc*P[0][1]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd) + Kacc*P[1][1]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[2][1]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[3][1]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd)) - Kacc*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd)*(Kacc*P[4][2]*SH_ACC[0] + Kacc*P[5][2]*SH_ACC[3] - Kacc*P[22][2]*SH_ACC[0] - Kacc*P[23][2]*SH_ACC[3] - Kacc*P[6][2]*(2.0f*q0*q2 - 2.0f*q1*q3) + Kacc*P[0][2]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd) + Kacc*P[1][2]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[2][2]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[3][2]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd)) + Kacc*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd)*(Kacc*P[4][3]*SH_ACC[0] + Kacc*P[5][3]*SH_ACC[3] - Kacc*P[22][3]*SH_ACC[0] - Kacc*P[23][3]*SH_ACC[3] - Kacc*P[6][3]*(2.0f*q0*q2 - 2.0f*q1*q3) + Kacc*P[0][3]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd) + Kacc*P[1][3]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[2][3]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[3][3]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd))); + if (_drag_innov_var[0] < R_ACC) { + return; + } + SK_ACC[0] = 1.0f/_drag_innov_var[0]; + SK_ACC[1] = 2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd; + SK_ACC[2] = 2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd; + SK_ACC[3] = 2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd; + SK_ACC[4] = 2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd; + SK_ACC[5] = 2.0f*q0*q2 - 2.0f*q1*q3; + SK_ACC[6] = SH_ACC[3]; +// Don't allow modification of any states other than wind velocity at this stage of development - we only need a wind estimate. +// Kfusion[0] = -SK_ACC[0]*(Kacc*P[0][4]*SH_ACC[0] - Kacc*P[0][22]*SH_ACC[0] + Kacc*P[0][0]*SK_ACC[3] - Kacc*P[0][2]*SK_ACC[2] + Kacc*P[0][3]*SK_ACC[1] + Kacc*P[0][1]*SK_ACC[4] + Kacc*P[0][5]*SK_ACC[6] - Kacc*P[0][6]*SK_ACC[5] - Kacc*P[0][23]*SK_ACC[6]); +// Kfusion[1] = -SK_ACC[0]*(Kacc*P[1][4]*SH_ACC[0] - Kacc*P[1][22]*SH_ACC[0] + Kacc*P[1][0]*SK_ACC[3] - Kacc*P[1][2]*SK_ACC[2] + Kacc*P[1][3]*SK_ACC[1] + Kacc*P[1][1]*SK_ACC[4] + Kacc*P[1][5]*SK_ACC[6] - Kacc*P[1][6]*SK_ACC[5] - Kacc*P[1][23]*SK_ACC[6]); +// Kfusion[2] = -SK_ACC[0]*(Kacc*P[2][4]*SH_ACC[0] - Kacc*P[2][22]*SH_ACC[0] + Kacc*P[2][0]*SK_ACC[3] - Kacc*P[2][2]*SK_ACC[2] + Kacc*P[2][3]*SK_ACC[1] + Kacc*P[2][1]*SK_ACC[4] + Kacc*P[2][5]*SK_ACC[6] - Kacc*P[2][6]*SK_ACC[5] - Kacc*P[2][23]*SK_ACC[6]); +// Kfusion[3] = -SK_ACC[0]*(Kacc*P[3][4]*SH_ACC[0] - Kacc*P[3][22]*SH_ACC[0] + Kacc*P[3][0]*SK_ACC[3] - Kacc*P[3][2]*SK_ACC[2] + Kacc*P[3][3]*SK_ACC[1] + Kacc*P[3][1]*SK_ACC[4] + Kacc*P[3][5]*SK_ACC[6] - Kacc*P[3][6]*SK_ACC[5] - Kacc*P[3][23]*SK_ACC[6]); +// Kfusion[4] = -SK_ACC[0]*(Kacc*P[4][4]*SH_ACC[0] - Kacc*P[4][22]*SH_ACC[0] + Kacc*P[4][0]*SK_ACC[3] - Kacc*P[4][2]*SK_ACC[2] + Kacc*P[4][3]*SK_ACC[1] + Kacc*P[4][1]*SK_ACC[4] + Kacc*P[4][5]*SK_ACC[6] - Kacc*P[4][6]*SK_ACC[5] - Kacc*P[4][23]*SK_ACC[6]); +// Kfusion[5] = -SK_ACC[0]*(Kacc*P[5][4]*SH_ACC[0] - Kacc*P[5][22]*SH_ACC[0] + Kacc*P[5][0]*SK_ACC[3] - Kacc*P[5][2]*SK_ACC[2] + Kacc*P[5][3]*SK_ACC[1] + Kacc*P[5][1]*SK_ACC[4] + Kacc*P[5][5]*SK_ACC[6] - Kacc*P[5][6]*SK_ACC[5] - Kacc*P[5][23]*SK_ACC[6]); +// Kfusion[6] = -SK_ACC[0]*(Kacc*P[6][4]*SH_ACC[0] - Kacc*P[6][22]*SH_ACC[0] + Kacc*P[6][0]*SK_ACC[3] - Kacc*P[6][2]*SK_ACC[2] + Kacc*P[6][3]*SK_ACC[1] + Kacc*P[6][1]*SK_ACC[4] + Kacc*P[6][5]*SK_ACC[6] - Kacc*P[6][6]*SK_ACC[5] - Kacc*P[6][23]*SK_ACC[6]); +// Kfusion[7] = -SK_ACC[0]*(Kacc*P[7][4]*SH_ACC[0] - Kacc*P[7][22]*SH_ACC[0] + Kacc*P[7][0]*SK_ACC[3] - Kacc*P[7][2]*SK_ACC[2] + Kacc*P[7][3]*SK_ACC[1] + Kacc*P[7][1]*SK_ACC[4] + Kacc*P[7][5]*SK_ACC[6] - Kacc*P[7][6]*SK_ACC[5] - Kacc*P[7][23]*SK_ACC[6]); +// Kfusion[8] = -SK_ACC[0]*(Kacc*P[8][4]*SH_ACC[0] - Kacc*P[8][22]*SH_ACC[0] + Kacc*P[8][0]*SK_ACC[3] - Kacc*P[8][2]*SK_ACC[2] + Kacc*P[8][3]*SK_ACC[1] + Kacc*P[8][1]*SK_ACC[4] + Kacc*P[8][5]*SK_ACC[6] - Kacc*P[8][6]*SK_ACC[5] - Kacc*P[8][23]*SK_ACC[6]); +// Kfusion[9] = -SK_ACC[0]*(Kacc*P[9][4]*SH_ACC[0] - Kacc*P[9][22]*SH_ACC[0] + Kacc*P[9][0]*SK_ACC[3] - Kacc*P[9][2]*SK_ACC[2] + Kacc*P[9][3]*SK_ACC[1] + Kacc*P[9][1]*SK_ACC[4] + Kacc*P[9][5]*SK_ACC[6] - Kacc*P[9][6]*SK_ACC[5] - Kacc*P[9][23]*SK_ACC[6]); +// Kfusion[10] = -SK_ACC[0]*(Kacc*P[10][4]*SH_ACC[0] - Kacc*P[10][22]*SH_ACC[0] + Kacc*P[10][0]*SK_ACC[3] - Kacc*P[10][2]*SK_ACC[2] + Kacc*P[10][3]*SK_ACC[1] + Kacc*P[10][1]*SK_ACC[4] + Kacc*P[10][5]*SK_ACC[6] - Kacc*P[10][6]*SK_ACC[5] - Kacc*P[10][23]*SK_ACC[6]); +// Kfusion[11] = -SK_ACC[0]*(Kacc*P[11][4]*SH_ACC[0] - Kacc*P[11][22]*SH_ACC[0] + Kacc*P[11][0]*SK_ACC[3] - Kacc*P[11][2]*SK_ACC[2] + Kacc*P[11][3]*SK_ACC[1] + Kacc*P[11][1]*SK_ACC[4] + Kacc*P[11][5]*SK_ACC[6] - Kacc*P[11][6]*SK_ACC[5] - Kacc*P[11][23]*SK_ACC[6]); +// Kfusion[12] = -SK_ACC[0]*(Kacc*P[12][4]*SH_ACC[0] - Kacc*P[12][22]*SH_ACC[0] + Kacc*P[12][0]*SK_ACC[3] - Kacc*P[12][2]*SK_ACC[2] + Kacc*P[12][3]*SK_ACC[1] + Kacc*P[12][1]*SK_ACC[4] + Kacc*P[12][5]*SK_ACC[6] - Kacc*P[12][6]*SK_ACC[5] - Kacc*P[12][23]*SK_ACC[6]); +// Kfusion[13] = -SK_ACC[0]*(Kacc*P[13][4]*SH_ACC[0] - Kacc*P[13][22]*SH_ACC[0] + Kacc*P[13][0]*SK_ACC[3] - Kacc*P[13][2]*SK_ACC[2] + Kacc*P[13][3]*SK_ACC[1] + Kacc*P[13][1]*SK_ACC[4] + Kacc*P[13][5]*SK_ACC[6] - Kacc*P[13][6]*SK_ACC[5] - Kacc*P[13][23]*SK_ACC[6]); +// Kfusion[14] = -SK_ACC[0]*(Kacc*P[14][4]*SH_ACC[0] - Kacc*P[14][22]*SH_ACC[0] + Kacc*P[14][0]*SK_ACC[3] - Kacc*P[14][2]*SK_ACC[2] + Kacc*P[14][3]*SK_ACC[1] + Kacc*P[14][1]*SK_ACC[4] + Kacc*P[14][5]*SK_ACC[6] - Kacc*P[14][6]*SK_ACC[5] - Kacc*P[14][23]*SK_ACC[6]); +// Kfusion[15] = -SK_ACC[0]*(Kacc*P[15][4]*SH_ACC[0] - Kacc*P[15][22]*SH_ACC[0] + Kacc*P[15][0]*SK_ACC[3] - Kacc*P[15][2]*SK_ACC[2] + Kacc*P[15][3]*SK_ACC[1] + Kacc*P[15][1]*SK_ACC[4] + Kacc*P[15][5]*SK_ACC[6] - Kacc*P[15][6]*SK_ACC[5] - Kacc*P[15][23]*SK_ACC[6]); +// Kfusion[16] = -SK_ACC[0]*(Kacc*P[16][4]*SH_ACC[0] - Kacc*P[16][22]*SH_ACC[0] + Kacc*P[16][0]*SK_ACC[3] - Kacc*P[16][2]*SK_ACC[2] + Kacc*P[16][3]*SK_ACC[1] + Kacc*P[16][1]*SK_ACC[4] + Kacc*P[16][5]*SK_ACC[6] - Kacc*P[16][6]*SK_ACC[5] - Kacc*P[16][23]*SK_ACC[6]); +// Kfusion[17] = -SK_ACC[0]*(Kacc*P[17][4]*SH_ACC[0] - Kacc*P[17][22]*SH_ACC[0] + Kacc*P[17][0]*SK_ACC[3] - Kacc*P[17][2]*SK_ACC[2] + Kacc*P[17][3]*SK_ACC[1] + Kacc*P[17][1]*SK_ACC[4] + Kacc*P[17][5]*SK_ACC[6] - Kacc*P[17][6]*SK_ACC[5] - Kacc*P[17][23]*SK_ACC[6]); +// Kfusion[18] = -SK_ACC[0]*(Kacc*P[18][4]*SH_ACC[0] - Kacc*P[18][22]*SH_ACC[0] + Kacc*P[18][0]*SK_ACC[3] - Kacc*P[18][2]*SK_ACC[2] + Kacc*P[18][3]*SK_ACC[1] + Kacc*P[18][1]*SK_ACC[4] + Kacc*P[18][5]*SK_ACC[6] - Kacc*P[18][6]*SK_ACC[5] - Kacc*P[18][23]*SK_ACC[6]); +// Kfusion[19] = -SK_ACC[0]*(Kacc*P[19][4]*SH_ACC[0] - Kacc*P[19][22]*SH_ACC[0] + Kacc*P[19][0]*SK_ACC[3] - Kacc*P[19][2]*SK_ACC[2] + Kacc*P[19][3]*SK_ACC[1] + Kacc*P[19][1]*SK_ACC[4] + Kacc*P[19][5]*SK_ACC[6] - Kacc*P[19][6]*SK_ACC[5] - Kacc*P[19][23]*SK_ACC[6]); +// Kfusion[20] = -SK_ACC[0]*(Kacc*P[20][4]*SH_ACC[0] - Kacc*P[20][22]*SH_ACC[0] + Kacc*P[20][0]*SK_ACC[3] - Kacc*P[20][2]*SK_ACC[2] + Kacc*P[20][3]*SK_ACC[1] + Kacc*P[20][1]*SK_ACC[4] + Kacc*P[20][5]*SK_ACC[6] - Kacc*P[20][6]*SK_ACC[5] - Kacc*P[20][23]*SK_ACC[6]); +// Kfusion[21] = -SK_ACC[0]*(Kacc*P[21][4]*SH_ACC[0] - Kacc*P[21][22]*SH_ACC[0] + Kacc*P[21][0]*SK_ACC[3] - Kacc*P[21][2]*SK_ACC[2] + Kacc*P[21][3]*SK_ACC[1] + Kacc*P[21][1]*SK_ACC[4] + Kacc*P[21][5]*SK_ACC[6] - Kacc*P[21][6]*SK_ACC[5] - Kacc*P[21][23]*SK_ACC[6]); + Kfusion[22] = -SK_ACC[0]*(Kacc*P[22][4]*SH_ACC[0] - Kacc*P[22][22]*SH_ACC[0] + Kacc*P[22][0]*SK_ACC[3] - Kacc*P[22][2]*SK_ACC[2] + Kacc*P[22][3]*SK_ACC[1] + Kacc*P[22][1]*SK_ACC[4] + Kacc*P[22][5]*SK_ACC[6] - Kacc*P[22][6]*SK_ACC[5] - Kacc*P[22][23]*SK_ACC[6]); + Kfusion[23] = -SK_ACC[0]*(Kacc*P[23][4]*SH_ACC[0] - Kacc*P[23][22]*SH_ACC[0] + Kacc*P[23][0]*SK_ACC[3] - Kacc*P[23][2]*SK_ACC[2] + Kacc*P[23][3]*SK_ACC[1] + Kacc*P[23][1]*SK_ACC[4] + Kacc*P[23][5]*SK_ACC[6] - Kacc*P[23][6]*SK_ACC[5] - Kacc*P[23][23]*SK_ACC[6]); + + // calculate the predicted acceleration and innovation measured along the X body axis + float drag_sign; + if (rel_wind(axis_index) >= 0.0f) { + drag_sign = 1.0f; + } else { + drag_sign = -1.0f; + } + float predAccel = -BC_inv_x * 0.5f*rho*sq(rel_wind(axis_index)) * drag_sign; + _drag_innov[axis_index] = predAccel - mea_acc; + _drag_test_ratio[axis_index] = sq(_drag_innov[axis_index]) / (25.0f * _drag_innov_var[axis_index]); + + } else if (axis_index == 1) { + // Estimate the airspeed from the measured drag force and ballistic coefficient + float mea_acc = (_imu_sample_delayed.delta_vel(axis_index) - _state.accel_bias(axis_index))/_imu_sample_delayed.delta_vel_dt; + float airSpd = sqrtf((2.0f * fabsf(mea_acc)) / (BC_inv_y * rho)); + + // Estimate the derivative of specific force wrt airspeed along the X axis + // Limit lower value to prevent artithmetic exceptions + float Kacc = fmax(1e-1f,rho * BC_inv_y * airSpd); + + SH_ACC[0] = sq(q0) - sq(q1) + sq(q2) - sq(q3); + SH_ACC[1] = vn - vwn; + SH_ACC[2] = ve - vwe; + H_ACC[0] = -Kacc*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd); + H_ACC[1] = -Kacc*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd); + H_ACC[2] = -Kacc*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd); + H_ACC[3] = Kacc*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd); + H_ACC[4] = Kacc*(2.0f*q0*q3 - 2.0f*q1*q2); + H_ACC[5] = -Kacc*SH_ACC[0]; + H_ACC[6] = -Kacc*(2.0f*q0*q1 + 2.0f*q2*q3); + H_ACC[22] = -2.0f*Kacc*(q0*q3 - q1*q2); + H_ACC[23] = Kacc*SH_ACC[0]; + _drag_innov_var[1] = (R_ACC + Kacc*SH_ACC[0]*(Kacc*P[5][5]*SH_ACC[0] - Kacc*P[23][5]*SH_ACC[0] - Kacc*P[4][5]*(2.0f*q0*q3 - 2.0f*q1*q2) + Kacc*P[6][5]*(2.0f*q0*q1 + 2.0f*q2*q3) + 2*Kacc*P[22][5]*(q0*q3 - q1*q2) + Kacc*P[0][5]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd) + Kacc*P[1][5]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[2][5]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[3][5]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd)) - Kacc*SH_ACC[0]*(Kacc*P[5][23]*SH_ACC[0] - Kacc*P[23][23]*SH_ACC[0] - Kacc*P[4][23]*(2.0f*q0*q3 - 2.0f*q1*q2) + Kacc*P[6][23]*(2.0f*q0*q1 + 2.0f*q2*q3) + 2*Kacc*P[22][23]*(q0*q3 - q1*q2) + Kacc*P[0][23]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd) + Kacc*P[1][23]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[2][23]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[3][23]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd)) - Kacc*(2.0f*q0*q3 - 2.0f*q1*q2)*(Kacc*P[5][4]*SH_ACC[0] - Kacc*P[23][4]*SH_ACC[0] - Kacc*P[4][4]*(2.0f*q0*q3 - 2.0f*q1*q2) + Kacc*P[6][4]*(2.0f*q0*q1 + 2.0f*q2*q3) + 2*Kacc*P[22][4]*(q0*q3 - q1*q2) + Kacc*P[0][4]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd) + Kacc*P[1][4]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[2][4]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[3][4]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd)) + Kacc*(2.0f*q0*q1 + 2.0f*q2*q3)*(Kacc*P[5][6]*SH_ACC[0] - Kacc*P[23][6]*SH_ACC[0] - Kacc*P[4][6]*(2.0f*q0*q3 - 2.0f*q1*q2) + Kacc*P[6][6]*(2.0f*q0*q1 + 2.0f*q2*q3) + 2*Kacc*P[22][6]*(q0*q3 - q1*q2) + Kacc*P[0][6]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd) + Kacc*P[1][6]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[2][6]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[3][6]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd)) + 2*Kacc*(q0*q3 - q1*q2)*(Kacc*P[5][22]*SH_ACC[0] - Kacc*P[23][22]*SH_ACC[0] - Kacc*P[4][22]*(2.0f*q0*q3 - 2.0f*q1*q2) + Kacc*P[6][22]*(2.0f*q0*q1 + 2.0f*q2*q3) + 2*Kacc*P[22][22]*(q0*q3 - q1*q2) + Kacc*P[0][22]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd) + Kacc*P[1][22]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[2][22]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[3][22]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd)) + Kacc*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd)*(Kacc*P[5][0]*SH_ACC[0] - Kacc*P[23][0]*SH_ACC[0] - Kacc*P[4][0]*(2.0f*q0*q3 - 2.0f*q1*q2) + Kacc*P[6][0]*(2.0f*q0*q1 + 2.0f*q2*q3) + 2*Kacc*P[22][0]*(q0*q3 - q1*q2) + Kacc*P[0][0]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd) + Kacc*P[1][0]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[2][0]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[3][0]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd)) + Kacc*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd)*(Kacc*P[5][1]*SH_ACC[0] - Kacc*P[23][1]*SH_ACC[0] - Kacc*P[4][1]*(2.0f*q0*q3 - 2.0f*q1*q2) + Kacc*P[6][1]*(2.0f*q0*q1 + 2.0f*q2*q3) + 2*Kacc*P[22][1]*(q0*q3 - q1*q2) + Kacc*P[0][1]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd) + Kacc*P[1][1]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[2][1]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[3][1]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd)) + Kacc*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd)*(Kacc*P[5][2]*SH_ACC[0] - Kacc*P[23][2]*SH_ACC[0] - Kacc*P[4][2]*(2.0f*q0*q3 - 2.0f*q1*q2) + Kacc*P[6][2]*(2.0f*q0*q1 + 2.0f*q2*q3) + 2*Kacc*P[22][2]*(q0*q3 - q1*q2) + Kacc*P[0][2]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd) + Kacc*P[1][2]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[2][2]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[3][2]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd)) - Kacc*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd)*(Kacc*P[5][3]*SH_ACC[0] - Kacc*P[23][3]*SH_ACC[0] - Kacc*P[4][3]*(2.0f*q0*q3 - 2.0f*q1*q2) + Kacc*P[6][3]*(2.0f*q0*q1 + 2.0f*q2*q3) + 2*Kacc*P[22][3]*(q0*q3 - q1*q2) + Kacc*P[0][3]*(2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd) + Kacc*P[1][3]*(2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd) + Kacc*P[2][3]*(2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd) - Kacc*P[3][3]*(2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd))); + if (_drag_innov_var[1] < R_ACC) { + // calculation is badly conditioned + return; + } + SK_ACC[0] = 1.0f/_drag_innov_var[1]; + SK_ACC[1] = 2.0f*q0*SH_ACC[1] + 2.0f*q3*SH_ACC[2] - 2.0f*q2*vd; + SK_ACC[2] = 2.0f*q2*SH_ACC[1] - 2.0f*q1*SH_ACC[2] + 2.0f*q0*vd; + SK_ACC[3] = 2.0f*q0*SH_ACC[2] - 2.0f*q3*SH_ACC[1] + 2.0f*q1*vd; + SK_ACC[4] = 2.0f*q1*SH_ACC[1] + 2.0f*q2*SH_ACC[2] + 2.0f*q3*vd; + SK_ACC[5] = 2.0f*q0*q3 - 2.0f*q1*q2; + SK_ACC[6] = q0*q3 - q1*q2; + SK_ACC[7] = 2.0f*q0*q1 + 2.0f*q2*q3; + SK_ACC[8] = SH_ACC[0]; +// Don't allow modification of any states other than wind velocity at this stage of development - we only need a wind estimate. +// Kfusion[0] = -SK_ACC[0]*(Kacc*P[0][0]*SK_ACC[3] + Kacc*P[0][1]*SK_ACC[2] - Kacc*P[0][3]*SK_ACC[1] + Kacc*P[0][2]*SK_ACC[4] - Kacc*P[0][4]*SK_ACC[5] + Kacc*P[0][5]*SK_ACC[8] + Kacc*P[0][6]*SK_ACC[7] + 2*Kacc*P[0][22]*SK_ACC[6] - Kacc*P[0][23]*SK_ACC[8]); +// Kfusion[1] = -SK_ACC[0]*(Kacc*P[1][0]*SK_ACC[3] + Kacc*P[1][1]*SK_ACC[2] - Kacc*P[1][3]*SK_ACC[1] + Kacc*P[1][2]*SK_ACC[4] - Kacc*P[1][4]*SK_ACC[5] + Kacc*P[1][5]*SK_ACC[8] + Kacc*P[1][6]*SK_ACC[7] + 2*Kacc*P[1][22]*SK_ACC[6] - Kacc*P[1][23]*SK_ACC[8]); +// Kfusion[2] = -SK_ACC[0]*(Kacc*P[2][0]*SK_ACC[3] + Kacc*P[2][1]*SK_ACC[2] - Kacc*P[2][3]*SK_ACC[1] + Kacc*P[2][2]*SK_ACC[4] - Kacc*P[2][4]*SK_ACC[5] + Kacc*P[2][5]*SK_ACC[8] + Kacc*P[2][6]*SK_ACC[7] + 2*Kacc*P[2][22]*SK_ACC[6] - Kacc*P[2][23]*SK_ACC[8]); +// Kfusion[3] = -SK_ACC[0]*(Kacc*P[3][0]*SK_ACC[3] + Kacc*P[3][1]*SK_ACC[2] - Kacc*P[3][3]*SK_ACC[1] + Kacc*P[3][2]*SK_ACC[4] - Kacc*P[3][4]*SK_ACC[5] + Kacc*P[3][5]*SK_ACC[8] + Kacc*P[3][6]*SK_ACC[7] + 2*Kacc*P[3][22]*SK_ACC[6] - Kacc*P[3][23]*SK_ACC[8]); +// Kfusion[4] = -SK_ACC[0]*(Kacc*P[4][0]*SK_ACC[3] + Kacc*P[4][1]*SK_ACC[2] - Kacc*P[4][3]*SK_ACC[1] + Kacc*P[4][2]*SK_ACC[4] - Kacc*P[4][4]*SK_ACC[5] + Kacc*P[4][5]*SK_ACC[8] + Kacc*P[4][6]*SK_ACC[7] + 2*Kacc*P[4][22]*SK_ACC[6] - Kacc*P[4][23]*SK_ACC[8]); +// Kfusion[5] = -SK_ACC[0]*(Kacc*P[5][0]*SK_ACC[3] + Kacc*P[5][1]*SK_ACC[2] - Kacc*P[5][3]*SK_ACC[1] + Kacc*P[5][2]*SK_ACC[4] - Kacc*P[5][4]*SK_ACC[5] + Kacc*P[5][5]*SK_ACC[8] + Kacc*P[5][6]*SK_ACC[7] + 2*Kacc*P[5][22]*SK_ACC[6] - Kacc*P[5][23]*SK_ACC[8]); +// Kfusion[6] = -SK_ACC[0]*(Kacc*P[6][0]*SK_ACC[3] + Kacc*P[6][1]*SK_ACC[2] - Kacc*P[6][3]*SK_ACC[1] + Kacc*P[6][2]*SK_ACC[4] - Kacc*P[6][4]*SK_ACC[5] + Kacc*P[6][5]*SK_ACC[8] + Kacc*P[6][6]*SK_ACC[7] + 2*Kacc*P[6][22]*SK_ACC[6] - Kacc*P[6][23]*SK_ACC[8]); +// Kfusion[7] = -SK_ACC[0]*(Kacc*P[7][0]*SK_ACC[3] + Kacc*P[7][1]*SK_ACC[2] - Kacc*P[7][3]*SK_ACC[1] + Kacc*P[7][2]*SK_ACC[4] - Kacc*P[7][4]*SK_ACC[5] + Kacc*P[7][5]*SK_ACC[8] + Kacc*P[7][6]*SK_ACC[7] + 2*Kacc*P[7][22]*SK_ACC[6] - Kacc*P[7][23]*SK_ACC[8]); +// Kfusion[8] = -SK_ACC[0]*(Kacc*P[8][0]*SK_ACC[3] + Kacc*P[8][1]*SK_ACC[2] - Kacc*P[8][3]*SK_ACC[1] + Kacc*P[8][2]*SK_ACC[4] - Kacc*P[8][4]*SK_ACC[5] + Kacc*P[8][5]*SK_ACC[8] + Kacc*P[8][6]*SK_ACC[7] + 2*Kacc*P[8][22]*SK_ACC[6] - Kacc*P[8][23]*SK_ACC[8]); +// Kfusion[9] = -SK_ACC[0]*(Kacc*P[9][0]*SK_ACC[3] + Kacc*P[9][1]*SK_ACC[2] - Kacc*P[9][3]*SK_ACC[1] + Kacc*P[9][2]*SK_ACC[4] - Kacc*P[9][4]*SK_ACC[5] + Kacc*P[9][5]*SK_ACC[8] + Kacc*P[9][6]*SK_ACC[7] + 2*Kacc*P[9][22]*SK_ACC[6] - Kacc*P[9][23]*SK_ACC[8]); +// Kfusion[10] = -SK_ACC[0]*(Kacc*P[10][0]*SK_ACC[3] + Kacc*P[10][1]*SK_ACC[2] - Kacc*P[10][3]*SK_ACC[1] + Kacc*P[10][2]*SK_ACC[4] - Kacc*P[10][4]*SK_ACC[5] + Kacc*P[10][5]*SK_ACC[8] + Kacc*P[10][6]*SK_ACC[7] + 2*Kacc*P[10][22]*SK_ACC[6] - Kacc*P[10][23]*SK_ACC[8]); +// Kfusion[11] = -SK_ACC[0]*(Kacc*P[11][0]*SK_ACC[3] + Kacc*P[11][1]*SK_ACC[2] - Kacc*P[11][3]*SK_ACC[1] + Kacc*P[11][2]*SK_ACC[4] - Kacc*P[11][4]*SK_ACC[5] + Kacc*P[11][5]*SK_ACC[8] + Kacc*P[11][6]*SK_ACC[7] + 2*Kacc*P[11][22]*SK_ACC[6] - Kacc*P[11][23]*SK_ACC[8]); +// Kfusion[12] = -SK_ACC[0]*(Kacc*P[12][0]*SK_ACC[3] + Kacc*P[12][1]*SK_ACC[2] - Kacc*P[12][3]*SK_ACC[1] + Kacc*P[12][2]*SK_ACC[4] - Kacc*P[12][4]*SK_ACC[5] + Kacc*P[12][5]*SK_ACC[8] + Kacc*P[12][6]*SK_ACC[7] + 2*Kacc*P[12][22]*SK_ACC[6] - Kacc*P[12][23]*SK_ACC[8]); +// Kfusion[13] = -SK_ACC[0]*(Kacc*P[13][0]*SK_ACC[3] + Kacc*P[13][1]*SK_ACC[2] - Kacc*P[13][3]*SK_ACC[1] + Kacc*P[13][2]*SK_ACC[4] - Kacc*P[13][4]*SK_ACC[5] + Kacc*P[13][5]*SK_ACC[8] + Kacc*P[13][6]*SK_ACC[7] + 2*Kacc*P[13][22]*SK_ACC[6] - Kacc*P[13][23]*SK_ACC[8]); +// Kfusion[14] = -SK_ACC[0]*(Kacc*P[14][0]*SK_ACC[3] + Kacc*P[14][1]*SK_ACC[2] - Kacc*P[14][3]*SK_ACC[1] + Kacc*P[14][2]*SK_ACC[4] - Kacc*P[14][4]*SK_ACC[5] + Kacc*P[14][5]*SK_ACC[8] + Kacc*P[14][6]*SK_ACC[7] + 2*Kacc*P[14][22]*SK_ACC[6] - Kacc*P[14][23]*SK_ACC[8]); +// Kfusion[15] = -SK_ACC[0]*(Kacc*P[15][0]*SK_ACC[3] + Kacc*P[15][1]*SK_ACC[2] - Kacc*P[15][3]*SK_ACC[1] + Kacc*P[15][2]*SK_ACC[4] - Kacc*P[15][4]*SK_ACC[5] + Kacc*P[15][5]*SK_ACC[8] + Kacc*P[15][6]*SK_ACC[7] + 2*Kacc*P[15][22]*SK_ACC[6] - Kacc*P[15][23]*SK_ACC[8]); +// Kfusion[16] = -SK_ACC[0]*(Kacc*P[16][0]*SK_ACC[3] + Kacc*P[16][1]*SK_ACC[2] - Kacc*P[16][3]*SK_ACC[1] + Kacc*P[16][2]*SK_ACC[4] - Kacc*P[16][4]*SK_ACC[5] + Kacc*P[16][5]*SK_ACC[8] + Kacc*P[16][6]*SK_ACC[7] + 2*Kacc*P[16][22]*SK_ACC[6] - Kacc*P[16][23]*SK_ACC[8]); +// Kfusion[17] = -SK_ACC[0]*(Kacc*P[17][0]*SK_ACC[3] + Kacc*P[17][1]*SK_ACC[2] - Kacc*P[17][3]*SK_ACC[1] + Kacc*P[17][2]*SK_ACC[4] - Kacc*P[17][4]*SK_ACC[5] + Kacc*P[17][5]*SK_ACC[8] + Kacc*P[17][6]*SK_ACC[7] + 2*Kacc*P[17][22]*SK_ACC[6] - Kacc*P[17][23]*SK_ACC[8]); +// Kfusion[18] = -SK_ACC[0]*(Kacc*P[18][0]*SK_ACC[3] + Kacc*P[18][1]*SK_ACC[2] - Kacc*P[18][3]*SK_ACC[1] + Kacc*P[18][2]*SK_ACC[4] - Kacc*P[18][4]*SK_ACC[5] + Kacc*P[18][5]*SK_ACC[8] + Kacc*P[18][6]*SK_ACC[7] + 2*Kacc*P[18][22]*SK_ACC[6] - Kacc*P[18][23]*SK_ACC[8]); +// Kfusion[19] = -SK_ACC[0]*(Kacc*P[19][0]*SK_ACC[3] + Kacc*P[19][1]*SK_ACC[2] - Kacc*P[19][3]*SK_ACC[1] + Kacc*P[19][2]*SK_ACC[4] - Kacc*P[19][4]*SK_ACC[5] + Kacc*P[19][5]*SK_ACC[8] + Kacc*P[19][6]*SK_ACC[7] + 2*Kacc*P[19][22]*SK_ACC[6] - Kacc*P[19][23]*SK_ACC[8]); +// Kfusion[20] = -SK_ACC[0]*(Kacc*P[20][0]*SK_ACC[3] + Kacc*P[20][1]*SK_ACC[2] - Kacc*P[20][3]*SK_ACC[1] + Kacc*P[20][2]*SK_ACC[4] - Kacc*P[20][4]*SK_ACC[5] + Kacc*P[20][5]*SK_ACC[8] + Kacc*P[20][6]*SK_ACC[7] + 2*Kacc*P[20][22]*SK_ACC[6] - Kacc*P[20][23]*SK_ACC[8]); +// Kfusion[21] = -SK_ACC[0]*(Kacc*P[21][0]*SK_ACC[3] + Kacc*P[21][1]*SK_ACC[2] - Kacc*P[21][3]*SK_ACC[1] + Kacc*P[21][2]*SK_ACC[4] - Kacc*P[21][4]*SK_ACC[5] + Kacc*P[21][5]*SK_ACC[8] + Kacc*P[21][6]*SK_ACC[7] + 2*Kacc*P[21][22]*SK_ACC[6] - Kacc*P[21][23]*SK_ACC[8]); + Kfusion[22] = -SK_ACC[0]*(Kacc*P[22][0]*SK_ACC[3] + Kacc*P[22][1]*SK_ACC[2] - Kacc*P[22][3]*SK_ACC[1] + Kacc*P[22][2]*SK_ACC[4] - Kacc*P[22][4]*SK_ACC[5] + Kacc*P[22][5]*SK_ACC[8] + Kacc*P[22][6]*SK_ACC[7] + 2*Kacc*P[22][22]*SK_ACC[6] - Kacc*P[22][23]*SK_ACC[8]); + Kfusion[23] = -SK_ACC[0]*(Kacc*P[23][0]*SK_ACC[3] + Kacc*P[23][1]*SK_ACC[2] - Kacc*P[23][3]*SK_ACC[1] + Kacc*P[23][2]*SK_ACC[4] - Kacc*P[23][4]*SK_ACC[5] + Kacc*P[23][5]*SK_ACC[8] + Kacc*P[23][6]*SK_ACC[7] + 2*Kacc*P[23][22]*SK_ACC[6] - Kacc*P[23][23]*SK_ACC[8]); + + // calculate the predicted acceleration and innovation measured along the Y body axis + float drag_sign; + if (rel_wind(axis_index) >= 0.0f) { + drag_sign = 1.0f; + } else { + drag_sign = -1.0f; + } + float predAccel = -BC_inv_y * 0.5f*rho*sq(rel_wind(axis_index)) * drag_sign; + _drag_innov[axis_index] = predAccel - mea_acc; + _drag_test_ratio[axis_index] = sq(_drag_innov[axis_index]) / (25.0f * _drag_innov_var[axis_index]); + + } + + // if the innovation consistency check fails then don't fuse the sample + if (_drag_test_ratio[axis_index] <= 1.0f) { + // apply covariance correction via P_new = (I -K*H)*P + // first calculate expression for KHP + // then calculate P - KHP + float KHP[_k_num_states][_k_num_states]; + float KH[9]; + for (unsigned row = 0; row < _k_num_states; row++) { + + KH[0] = Kfusion[row] * H_ACC[0]; + KH[1] = Kfusion[row] * H_ACC[1]; + KH[2] = Kfusion[row] * H_ACC[2]; + KH[3] = Kfusion[row] * H_ACC[3]; + KH[4] = Kfusion[row] * H_ACC[4]; + KH[5] = Kfusion[row] * H_ACC[5]; + KH[6] = Kfusion[row] * H_ACC[6]; + KH[7] = Kfusion[row] * H_ACC[22]; + KH[8] = Kfusion[row] * H_ACC[23]; + + for (unsigned column = 0; column < _k_num_states; column++) { + float tmp = KH[0] * P[0][column]; + tmp += KH[1] * P[1][column]; + tmp += KH[2] * P[2][column]; + tmp += KH[3] * P[3][column]; + tmp += KH[4] * P[4][column]; + tmp += KH[5] * P[5][column]; + tmp += KH[6] * P[6][column]; + tmp += KH[7] * P[22][column]; + tmp += KH[8] * P[23][column]; + KHP[row][column] = tmp; + } + } + + // if the covariance correction will result in a negative variance, then + // the covariance marix is unhealthy and must be corrected + bool healthy = true; + //_fault_status.flags.bad_sideslip = false; + for (int i = 0; i < _k_num_states; i++) { + if (P[i][i] < KHP[i][i]) { + // zero rows and columns + zeroRows(P,i,i); + zeroCols(P,i,i); + + //flag as unhealthy + healthy = false; + + // update individual measurement health status + //_fault_status.flags.bad_sideslip = true; + + } + } + + // only apply covariance and state corrrections if healthy + if (healthy) { + // apply the covariance corrections + for (unsigned row = 0; row < _k_num_states; row++) { + for (unsigned column = 0; column < _k_num_states; column++) { + P[row][column] = P[row][column] - KHP[row][column]; + } + } + + // correct the covariance marix for gross errors + fixCovarianceErrors(); + + // apply the state corrections + fuse(Kfusion, _drag_innov[axis_index]); + + } + } + } +} diff --git a/EKF/ekf.cpp b/EKF/ekf.cpp index de965c7716..baf6ca46f1 100644 --- a/EKF/ekf.cpp +++ b/EKF/ekf.cpp @@ -150,6 +150,8 @@ Ekf::Ekf(): _gps_check_fail_status.value = 0; _state_reset_status = {}; _dt_ekf_avg = 0.001f * (float)(FILTER_UPDATE_PERIOD_MS); + memset(_drag_innov, 0, sizeof(_drag_innov)); + memset(_drag_innov_var, 0, sizeof(_drag_innov_var)); } bool Ekf::init(uint64_t timestamp) diff --git a/EKF/ekf.h b/EKF/ekf.h index f14a34ef45..5cb0a4332b 100644 --- a/EKF/ekf.h +++ b/EKF/ekf.h @@ -94,6 +94,12 @@ public: // gets the innovation of the flow measurement void get_flow_innov(float flow_innov[2]); + // gets the innovation variance of the drag specific force measurement + void get_drag_innov_var(float drag_innov_var[2]); + + // gets the innovation of the drag specific force measurement + void get_drag_innov(float drag_innov[2]); + // gets the innovation variance of the HAGL measurement void get_hagl_innov_var(float *hagl_innov_var); @@ -272,6 +278,9 @@ private: float _beta_innov; // synthetic sideslip measurement innovation float _beta_innov_var; // synthetic sideslip measurement innovation variance + float _drag_innov[2]; // multirotor drag measurement innovation + float _drag_innov_var[2]; // multirotor drag measurement innovation variance + float _heading_innov; // heading measurement innovation float _heading_innov_var; // heading measurement innovation variance @@ -383,6 +392,9 @@ private: // fuse synthetic zero sideslip measurement void fuseSideslip(); + // fuse body frame drag specific forces for multi-rotor wind estimation + void fuseDrag(); + // fuse velocity and position measurements (also barometer height) void fuseVelPosHeight(); @@ -464,6 +476,9 @@ private: // control fusion of synthetic sideslip observations void controlBetaFusion(); + // control fusion of multi-rotor drag specific force observations + void controlDragFusion(); + // control fusion of pressure altitude observations void controlBaroFusion(); diff --git a/EKF/estimator_interface.cpp b/EKF/estimator_interface.cpp index da1a370135..1eb37e809f 100644 --- a/EKF/estimator_interface.cpp +++ b/EKF/estimator_interface.cpp @@ -75,6 +75,7 @@ EstimatorInterface::EstimatorInterface(): _tas_test_ratio(0.0f), _terr_test_ratio(0.0f), _beta_test_ratio(0.0f), + _drag_test_ratio{}, _is_dead_reckoning(false), _vibe_metrics{}, _time_last_imu(0), diff --git a/EKF/estimator_interface.h b/EKF/estimator_interface.h index ee4cdc848e..9f373a07ab 100644 --- a/EKF/estimator_interface.h +++ b/EKF/estimator_interface.h @@ -107,6 +107,12 @@ public: // gets the innovation of the flow measurement virtual void get_flow_innov(float flow_innov[2]) = 0; + // gets the innovation variance of the drag specific force measurement + virtual void get_drag_innov_var(float drag_innov_var[2]) = 0; + + // gets the innovation of the drag specific force measurement + virtual void get_drag_innov(float drag_innov[2]) = 0; + // gets the innovation variance of the HAGL measurement virtual void get_hagl_innov_var(float *flow_innov_var) = 0; @@ -339,6 +345,7 @@ protected: float _tas_test_ratio; // tas innovation consistency check ratio float _terr_test_ratio; // height above terrain measurement innovation consistency check ratio float _beta_test_ratio; // sideslip innovation consistency check ratio + float _drag_test_ratio[2]; // drag innovation cinsistency check ratio innovation_fault_status_u _innov_check_fail_status{}; bool _is_dead_reckoning; // true if we are no longer fusing measurements that constrain horizontal velocity drift diff --git a/EKF/optflow_fusion.cpp b/EKF/optflow_fusion.cpp index d8d599262d..16b03d2e94 100644 --- a/EKF/optflow_fusion.cpp +++ b/EKF/optflow_fusion.cpp @@ -510,6 +510,17 @@ void Ekf::get_flow_innov_var(float flow_innov_var[2]) memcpy(flow_innov_var, _flow_innov_var, sizeof(_flow_innov_var)); } +void Ekf::get_drag_innov(float drag_innov[2]) +{ + memcpy(drag_innov, _drag_innov, sizeof(_drag_innov)); +} + + +void Ekf::get_drag_innov_var(float drag_innov_var[2]) +{ + memcpy(drag_innov_var, _drag_innov_var, sizeof(_drag_innov_var)); +} + // calculate optical flow gyro bias errors void Ekf::calcOptFlowBias() {