/**************************************************************************** * * 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 vel_pos_fusion.cpp * Function for fusing gps and baro measurements/ * * @author Roman Bast * */ #include "ekf.h" void Ekf::fuseVelPosHeight() { bool fuse_map[6] = {}; float innovations[6] = {}; float R[6] = {}; float Kfusion[24] = {}; // calculate innovations if (_fuse_vel) { fuse_map[0] = fuse_map[1] = fuse_map[2] = true; innovations[0] = _state.vel(0) - _gps_sample_delayed.vel(0); innovations[1] = _state.vel(1) - _gps_sample_delayed.vel(1); innovations[2] = _state.vel(2) - _gps_sample_delayed.vel(2); R[0] = _params.gps_vel_noise; R[1] = _params.gps_vel_noise; R[2] = _params.gps_vel_noise; } if (_fuse_pos) { fuse_map[3] = fuse_map[4] = true; innovations[3] = _state.pos(0) - _gps_sample_delayed.pos(0); innovations[4] = _state.pos(1) - _gps_sample_delayed.pos(1); R[3] = _params.gps_pos_noise; R[4] = _params.gps_pos_noise; } if (_fuse_height) { fuse_map[5] = true; innovations[5] = _state.pos(2) - (-_baro_sample_delayed.hgt); // baro measurement has inversed z axis R[5] = _params.baro_noise; } // XXX Do checks here for (unsigned obs_index = 0; obs_index < 6; obs_index++) { if (!fuse_map[obs_index]) { continue; } unsigned state_index = obs_index + 3; // we start with vx and this is the 4. state // compute the innovation variance SK = HPH + R float S = P[state_index][state_index] + R[obs_index]; S = 1.0f / S; // calculate kalman gain K = PHS for (int row = 0; row < 24; row++) { Kfusion[row] = P[row][state_index] * S; } // by definition the angle error state is zero at the fusion time _state.ang_error.setZero(); // fuse the observation fuse(Kfusion, innovations[obs_index]); // correct the nominal quaternion Quaternion dq; dq.from_axis_angle(_state.ang_error); _state.quat_nominal = dq * _state.quat_nominal; _state.quat_nominal.normalize(); // update covarinace matrix via Pnew = (I - KH)P float KHP[_k_num_states][_k_num_states] = {}; for (unsigned row = 0; row < _k_num_states; row++) { for (unsigned column = 0; column < _k_num_states; column++) { KHP[row][column] = Kfusion[row] * P[state_index][column]; } } 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]; } } makeSymmetrical(); limitCov(); } } void Ekf::fuse(float *K, float innovation) { for (unsigned i = 0; i < 3; i++) { _state.ang_error(i) = _state.ang_error(i) - K[i] * innovation; } for (unsigned i = 0; i < 3; i++) { _state.vel(i) = _state.vel(i) - K[i + 3] * innovation; } for (unsigned i = 0; i < 3; i++) { _state.pos(i) = _state.pos(i) - K[i + 6] * innovation; } for (unsigned i = 0; i < 3; i++) { _state.gyro_bias(i) = _state.gyro_bias(i) - K[i + 9] * innovation; } for (unsigned i = 0; i < 3; i++) { _state.gyro_scale(i) = _state.gyro_scale(i) - K[i + 12] * innovation; } _state.accel_z_bias -= K[15] * innovation; for (unsigned i = 0; i < 3; i++) { _state.mag_I(i) = _state.mag_I(i) - K[i + 16] * innovation; } for (unsigned i = 0; i < 3; i++) { _state.mag_B(i) = _state.mag_B(i) - K[i + 19] * innovation; } for (unsigned i = 0; i < 2; i++) { _state.wind_vel(i) = _state.wind_vel(i) - K[i + 22] * innovation; } }