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PX4-Autopilot/src/modules/commander/calibration_routines.cpp
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/****************************************************************************
*
* Copyright (c) 2012 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
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* 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
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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/**
* @file calibration_routines.cpp
* Calibration routines implementations.
*
* @author Lorenz Meier <lm@inf.ethz.ch>
*/
#include <px4_platform_common/defines.h>
#include <px4_platform_common/posix.h>
#include <px4_platform_common/time.h>
#include <drivers/drv_hrt.h>
#include <drivers/drv_tone_alarm.h>
#include <lib/ecl/geo/geo.h>
#include <lib/mathlib/mathlib.h>
#include <lib/systemlib/mavlink_log.h>
#include <matrix/math.hpp>
#include <uORB/Publication.hpp>
#include <uORB/SubscriptionBlocking.hpp>
#include <uORB/topics/vehicle_acceleration.h>
#include <uORB/topics/vehicle_command.h>
#include <uORB/topics/vehicle_command_ack.h>
#include "calibration_routines.h"
#include "calibration_messages.h"
#include "commander_helper.h"
using namespace time_literals;
int run_lm_sphere_fit(const float x[], const float y[], const float z[], float &_fitness, float &_sphere_lambda,
unsigned int samples_collected, float *offset_x, float *offset_y, float *offset_z,
float *sphere_radius, float *diag_x, float *diag_y, float *diag_z, float *offdiag_x, float *offdiag_y, float *offdiag_z)
{
// Run Sphere Fit using Levenberg Marquardt LSq Fit
const float lma_damping = 10.f;
float fitness = _fitness;
float fit1 = 0.f;
float fit2 = 0.f;
matrix::SquareMatrix<float, 4> JTJ{};
matrix::SquareMatrix<float, 4> JTJ2{};
float JTFI[4] {};
float residual = 0.0f;
// Gauss Newton Part common for all kind of extensions including LM
for (uint16_t k = 0; k < samples_collected; k++) {
float sphere_jacob[4];
//Calculate Jacobian
float A = (*diag_x * (x[k] - *offset_x)) + (*offdiag_x * (y[k] - *offset_y)) + (*offdiag_y * (z[k] - *offset_z));
float B = (*offdiag_x * (x[k] - *offset_x)) + (*diag_y * (y[k] - *offset_y)) + (*offdiag_z * (z[k] - *offset_z));
float C = (*offdiag_y * (x[k] - *offset_x)) + (*offdiag_z * (y[k] - *offset_y)) + (*diag_z * (z[k] - *offset_z));
float length = sqrtf(A * A + B * B + C * C);
// 0: partial derivative (radius wrt fitness fn) fn operated on sample
sphere_jacob[0] = 1.0f;
// 1-3: partial derivative (offsets wrt fitness fn) fn operated on sample
sphere_jacob[1] = 1.0f * (((*diag_x * A) + (*offdiag_x * B) + (*offdiag_y * C)) / length);
sphere_jacob[2] = 1.0f * (((*offdiag_x * A) + (*diag_y * B) + (*offdiag_z * C)) / length);
sphere_jacob[3] = 1.0f * (((*offdiag_y * A) + (*offdiag_z * B) + (*diag_z * C)) / length);
residual = *sphere_radius - length;
for (uint8_t i = 0; i < 4; i++) {
// compute JTJ
for (uint8_t j = 0; j < 4; j++) {
JTJ(i, j) += sphere_jacob[i] * sphere_jacob[j];
JTJ2(i, j) += sphere_jacob[i] * sphere_jacob[j]; //a backup JTJ for LM
}
JTFI[i] += sphere_jacob[i] * residual;
}
}
//------------------------Levenberg-Marquardt-part-starts-here---------------------------------//
// refer: http://en.wikipedia.org/wiki/Levenberg%E2%80%93Marquardt_algorithm#Choice_of_damping_parameter
float fit1_params[4] = {*sphere_radius, *offset_x, *offset_y, *offset_z};
float fit2_params[4];
memcpy(fit2_params, fit1_params, sizeof(fit1_params));
for (uint8_t i = 0; i < 4; i++) {
JTJ(i, i) += _sphere_lambda;
JTJ2(i, i) += _sphere_lambda / lma_damping;
}
if (!JTJ.I(JTJ)) {
return -1;
}
if (!JTJ2.I(JTJ2)) {
return -1;
}
for (uint8_t row = 0; row < 4; row++) {
for (uint8_t col = 0; col < 4; col++) {
fit1_params[row] -= JTFI[col] * JTJ(row, col);
fit2_params[row] -= JTFI[col] * JTJ2(row, col);
}
}
// Calculate mean squared residuals
for (uint16_t k = 0; k < samples_collected; k++) {
float A = (*diag_x * (x[k] - fit1_params[1])) + (*offdiag_x * (y[k] - fit1_params[2])) + (*offdiag_y *
(z[k] + fit1_params[3]));
float B = (*offdiag_x * (x[k] - fit1_params[1])) + (*diag_y * (y[k] - fit1_params[2])) + (*offdiag_z *
(z[k] + fit1_params[3]));
float C = (*offdiag_y * (x[k] - fit1_params[1])) + (*offdiag_z * (y[k] - fit1_params[2])) + (*diag_z *
(z[k] - fit1_params[3]));
float length = sqrtf(A * A + B * B + C * C);
residual = fit1_params[0] - length;
fit1 += residual * residual;
A = (*diag_x * (x[k] - fit2_params[1])) + (*offdiag_x * (y[k] - fit2_params[2])) + (*offdiag_y *
(z[k] - fit2_params[3]));
B = (*offdiag_x * (x[k] - fit2_params[1])) + (*diag_y * (y[k] - fit2_params[2])) + (*offdiag_z *
(z[k] - fit2_params[3]));
C = (*offdiag_y * (x[k] - fit2_params[1])) + (*offdiag_z * (y[k] - fit2_params[2])) + (*diag_z *
(z[k] - fit2_params[3]));
length = sqrtf(A * A + B * B + C * C);
residual = fit2_params[0] - length;
fit2 += residual * residual;
}
fit1 = sqrtf(fit1) / samples_collected;
fit2 = sqrtf(fit2) / samples_collected;
if (fit1 > _fitness && fit2 > _fitness) {
_sphere_lambda *= lma_damping;
} else if (fit2 < _fitness && fit2 < fit1) {
_sphere_lambda /= lma_damping;
memcpy(fit1_params, fit2_params, sizeof(fit1_params));
fitness = fit2;
} else if (fit1 < _fitness) {
fitness = fit1;
}
//--------------------Levenberg-Marquardt-part-ends-here--------------------------------//
if (PX4_ISFINITE(fitness) && fitness < _fitness) {
_fitness = fitness;
*sphere_radius = fit1_params[0];
*offset_x = fit1_params[1];
*offset_y = fit1_params[2];
*offset_z = fit1_params[3];
return 0;
} else {
return -1;
}
}
int run_lm_ellipsoid_fit(const float x[], const float y[], const float z[], float &_fitness, float &_sphere_lambda,
unsigned int samples_collected, float *offset_x, float *offset_y, float *offset_z,
float *sphere_radius, float *diag_x, float *diag_y, float *diag_z, float *offdiag_x, float *offdiag_y, float *offdiag_z)
{
// Run Sphere Fit using Levenberg Marquardt LSq Fit
const float lma_damping = 10.0f;
float fitness = _fitness;
float fit1 = 0.0f;
float fit2 = 0.0f;
float JTJ[81] {};
float JTJ2[81] {};
float JTFI[9] {};
float residual = 0.0f;
float ellipsoid_jacob[9];
// Gauss Newton Part common for all kind of extensions including LM
for (uint16_t k = 0; k < samples_collected; k++) {
// Calculate Jacobian
float A = (*diag_x * (x[k] - *offset_x)) + (*offdiag_x * (y[k] - *offset_y)) + (*offdiag_y * (z[k] - *offset_z));
float B = (*offdiag_x * (x[k] - *offset_x)) + (*diag_y * (y[k] - *offset_y)) + (*offdiag_z * (z[k] - *offset_z));
float C = (*offdiag_y * (x[k] - *offset_x)) + (*offdiag_z * (y[k] - *offset_y)) + (*diag_z * (z[k] - *offset_z));
float length = sqrtf(A * A + B * B + C * C);
residual = *sphere_radius - length;
fit1 += residual * residual;
// 0-2: partial derivative (offset wrt fitness fn) fn operated on sample
ellipsoid_jacob[0] = 1.0f * (((*diag_x * A) + (*offdiag_x * B) + (*offdiag_y * C)) / length);
ellipsoid_jacob[1] = 1.0f * (((*offdiag_x * A) + (*diag_y * B) + (*offdiag_z * C)) / length);
ellipsoid_jacob[2] = 1.0f * (((*offdiag_y * A) + (*offdiag_z * B) + (*diag_z * C)) / length);
// 3-5: partial derivative (diag offset wrt fitness fn) fn operated on sample
ellipsoid_jacob[3] = -1.0f * ((x[k] - *offset_x) * A) / length;
ellipsoid_jacob[4] = -1.0f * ((y[k] - *offset_y) * B) / length;
ellipsoid_jacob[5] = -1.0f * ((z[k] - *offset_z) * C) / length;
// 6-8: partial derivative (off-diag offset wrt fitness fn) fn operated on sample
ellipsoid_jacob[6] = -1.0f * (((y[k] - *offset_y) * A) + ((x[k] - *offset_x) * B)) / length;
ellipsoid_jacob[7] = -1.0f * (((z[k] - *offset_z) * A) + ((x[k] - *offset_x) * C)) / length;
ellipsoid_jacob[8] = -1.0f * (((z[k] - *offset_z) * B) + ((y[k] - *offset_y) * C)) / length;
for (uint8_t i = 0; i < 9; i++) {
// compute JTJ
for (uint8_t j = 0; j < 9; j++) {
JTJ[i * 9 + j] += ellipsoid_jacob[i] * ellipsoid_jacob[j];
JTJ2[i * 9 + j] += ellipsoid_jacob[i] * ellipsoid_jacob[j]; // a backup JTJ for LM
}
JTFI[i] += ellipsoid_jacob[i] * residual;
}
}
//------------------------Levenberg-Marquardt-part-starts-here---------------------------------//
// refer: http://en.wikipedia.org/wiki/Levenberg%E2%80%93Marquardt_algorithm#Choice_of_damping_parameter
float fit1_params[9] = {*offset_x, *offset_y, *offset_z, *diag_x, *diag_y, *diag_z, *offdiag_x, *offdiag_y, *offdiag_z};
float fit2_params[9];
memcpy(fit2_params, fit1_params, sizeof(fit1_params));
for (uint8_t i = 0; i < 9; i++) {
JTJ[i * 9 + i] += _sphere_lambda;
JTJ2[i * 9 + i] += _sphere_lambda / lma_damping;
}
if (!mat_inverse(JTJ, JTJ, 9)) {
return -1;
}
if (!mat_inverse(JTJ2, JTJ2, 9)) {
return -1;
}
for (uint8_t row = 0; row < 9; row++) {
for (uint8_t col = 0; col < 9; col++) {
fit1_params[row] -= JTFI[col] * JTJ[row * 9 + col];
fit2_params[row] -= JTFI[col] * JTJ2[row * 9 + col];
}
}
// Calculate mean squared residuals
for (uint16_t k = 0; k < samples_collected; k++) {
float A = (fit1_params[3] * (x[k] - fit1_params[0])) + (fit1_params[6] * (y[k] - fit1_params[1])) + (fit1_params[7] *
(z[k] - fit1_params[2]));
float B = (fit1_params[6] * (x[k] - fit1_params[0])) + (fit1_params[4] * (y[k] - fit1_params[1])) + (fit1_params[8] *
(z[k] - fit1_params[2]));
float C = (fit1_params[7] * (x[k] - fit1_params[0])) + (fit1_params[8] * (y[k] - fit1_params[1])) + (fit1_params[5] *
(z[k] - fit1_params[2]));
float length = sqrtf(A * A + B * B + C * C);
residual = *sphere_radius - length;
fit1 += residual * residual;
A = (fit2_params[3] * (x[k] - fit2_params[0])) + (fit2_params[6] * (y[k] - fit2_params[1])) + (fit2_params[7] *
(z[k] - fit2_params[2]));
B = (fit2_params[6] * (x[k] - fit2_params[0])) + (fit2_params[4] * (y[k] - fit2_params[1])) + (fit2_params[8] *
(z[k] - fit2_params[2]));
C = (fit2_params[7] * (x[k] - fit2_params[0])) + (fit2_params[8] * (y[k] - fit2_params[1])) + (fit2_params[5] *
(z[k] - fit2_params[2]));
length = sqrtf(A * A + B * B + C * C);
residual = *sphere_radius - length;
fit2 += residual * residual;
}
fit1 = sqrtf(fit1) / samples_collected;
fit2 = sqrtf(fit2) / samples_collected;
if (fit1 > _fitness && fit2 > _fitness) {
_sphere_lambda *= lma_damping;
} else if (fit2 < _fitness && fit2 < fit1) {
_sphere_lambda /= lma_damping;
memcpy(fit1_params, fit2_params, sizeof(fit1_params));
fitness = fit2;
} else if (fit1 < _fitness) {
fitness = fit1;
}
//--------------------Levenberg-Marquardt-part-ends-here--------------------------------//
if (PX4_ISFINITE(fitness) && fitness < _fitness) {
_fitness = fitness;
*offset_x = fit1_params[0];
*offset_y = fit1_params[1];
*offset_z = fit1_params[2];
*diag_x = fit1_params[3];
*diag_y = fit1_params[4];
*diag_z = fit1_params[5];
*offdiag_x = fit1_params[6];
*offdiag_y = fit1_params[7];
*offdiag_z = fit1_params[8];
return 0;
} else {
return -1;
}
}
enum detect_orientation_return detect_orientation(orb_advert_t *mavlink_log_pub, bool lenient_still_position)
{
static constexpr unsigned ndim = 3;
float accel_ema[ndim] {}; // exponential moving average of accel
float accel_disp[3] {}; // max-hold dispersion of accel
static constexpr float ema_len = 0.5f; // EMA time constant in seconds
static constexpr float normal_still_thr = 0.25; // normal still threshold
float still_thr2 = powf(lenient_still_position ? (normal_still_thr * 3) : normal_still_thr, 2);
static constexpr float accel_err_thr = 5.0f; // set accel error threshold to 5m/s^2
const hrt_abstime still_time = lenient_still_position ? 500000 : 1300000; // still time required in us
/* set timeout to 90s */
static constexpr hrt_abstime timeout = 90_s;
const hrt_abstime t_start = hrt_absolute_time();
hrt_abstime t_timeout = t_start + timeout;
hrt_abstime t = t_start;
hrt_abstime t_prev = t_start;
hrt_abstime t_still = 0;
unsigned poll_errcount = 0;
// Setup subscriptions to onboard accel sensor
uORB::SubscriptionBlocking<vehicle_acceleration_s> vehicle_acceleration_sub{ORB_ID(vehicle_acceleration)};
while (true) {
vehicle_acceleration_s accel;
if (vehicle_acceleration_sub.updateBlocking(accel, 100000)) {
t = hrt_absolute_time();
float dt = (t - t_prev) / 1000000.0f;
t_prev = t;
float w = dt / ema_len;
for (unsigned i = 0; i < ndim; i++) {
float di = accel.xyz[i];
float d = di - accel_ema[i];
accel_ema[i] += d * w;
d = d * d;
accel_disp[i] = accel_disp[i] * (1.0f - w);
if (d > still_thr2 * 8.0f) {
d = still_thr2 * 8.0f;
}
if (d > accel_disp[i]) {
accel_disp[i] = d;
}
}
/* still detector with hysteresis */
if (accel_disp[0] < still_thr2 &&
accel_disp[1] < still_thr2 &&
accel_disp[2] < still_thr2) {
/* is still now */
if (t_still == 0) {
/* first time */
calibration_log_info(mavlink_log_pub, "[cal] detected rest position, hold still...");
t_still = t;
t_timeout = t + timeout;
} else {
/* still since t_still */
if (t > t_still + still_time) {
/* vehicle is still, exit from the loop to detection of its orientation */
break;
}
}
} else if (accel_disp[0] > still_thr2 * 4.0f ||
accel_disp[1] > still_thr2 * 4.0f ||
accel_disp[2] > still_thr2 * 4.0f) {
/* not still, reset still start time */
if (t_still != 0) {
calibration_log_info(mavlink_log_pub, "[cal] detected motion, hold still...");
px4_usleep(200000);
t_still = 0;
}
}
} else {
poll_errcount++;
}
if (t > t_timeout) {
poll_errcount++;
}
if (poll_errcount > 1000) {
calibration_log_critical(mavlink_log_pub, CAL_ERROR_SENSOR_MSG);
return ORIENTATION_ERROR;
}
}
if (fabsf(accel_ema[0] - CONSTANTS_ONE_G) < accel_err_thr &&
fabsf(accel_ema[1]) < accel_err_thr &&
fabsf(accel_ema[2]) < accel_err_thr) {
return ORIENTATION_TAIL_DOWN; // [ g, 0, 0 ]
}
if (fabsf(accel_ema[0] + CONSTANTS_ONE_G) < accel_err_thr &&
fabsf(accel_ema[1]) < accel_err_thr &&
fabsf(accel_ema[2]) < accel_err_thr) {
return ORIENTATION_NOSE_DOWN; // [ -g, 0, 0 ]
}
if (fabsf(accel_ema[0]) < accel_err_thr &&
fabsf(accel_ema[1] - CONSTANTS_ONE_G) < accel_err_thr &&
fabsf(accel_ema[2]) < accel_err_thr) {
return ORIENTATION_LEFT; // [ 0, g, 0 ]
}
if (fabsf(accel_ema[0]) < accel_err_thr &&
fabsf(accel_ema[1] + CONSTANTS_ONE_G) < accel_err_thr &&
fabsf(accel_ema[2]) < accel_err_thr) {
return ORIENTATION_RIGHT; // [ 0, -g, 0 ]
}
if (fabsf(accel_ema[0]) < accel_err_thr &&
fabsf(accel_ema[1]) < accel_err_thr &&
fabsf(accel_ema[2] - CONSTANTS_ONE_G) < accel_err_thr) {
return ORIENTATION_UPSIDE_DOWN; // [ 0, 0, g ]
}
if (fabsf(accel_ema[0]) < accel_err_thr &&
fabsf(accel_ema[1]) < accel_err_thr &&
fabsf(accel_ema[2] + CONSTANTS_ONE_G) < accel_err_thr) {
return ORIENTATION_RIGHTSIDE_UP; // [ 0, 0, -g ]
}
calibration_log_critical(mavlink_log_pub, "ERROR: invalid orientation");
return ORIENTATION_ERROR; // Can't detect orientation
}
const char *detect_orientation_str(enum detect_orientation_return orientation)
{
static const char *rgOrientationStrs[] = {
"back", // tail down
"front", // nose down
"left",
"right",
"up", // upside-down
"down", // right-side up
"error"
};
return rgOrientationStrs[orientation];
}
calibrate_return calibrate_from_orientation(orb_advert_t *mavlink_log_pub,
bool side_data_collected[detect_orientation_side_count], calibration_from_orientation_worker_t calibration_worker,
void *worker_data, bool lenient_still_position)
{
const hrt_abstime calibration_started = hrt_absolute_time();
calibrate_return result = calibrate_return_ok;
unsigned orientation_failures = 0;
// Rotate through all requested orientation
while (true) {
if (calibrate_cancel_check(mavlink_log_pub, calibration_started)) {
result = calibrate_return_cancelled;
break;
}
if (orientation_failures > 4) {
result = calibrate_return_error;
calibration_log_critical(mavlink_log_pub, CAL_QGC_FAILED_MSG, "timeout: no motion");
break;
}
unsigned int side_complete_count = 0;
// Update the number of completed sides
for (unsigned i = 0; i < detect_orientation_side_count; i++) {
if (side_data_collected[i]) {
side_complete_count++;
}
}
if (side_complete_count == detect_orientation_side_count) {
// We have completed all sides, move on
break;
}
/* inform user which orientations are still needed */
char pendingStr[80];
pendingStr[0] = 0;
for (unsigned int cur_orientation = 0; cur_orientation < detect_orientation_side_count; cur_orientation++) {
if (!side_data_collected[cur_orientation]) {
strncat(pendingStr, " ", sizeof(pendingStr) - 1);
strncat(pendingStr, detect_orientation_str((enum detect_orientation_return)cur_orientation), sizeof(pendingStr) - 1);
}
}
calibration_log_info(mavlink_log_pub, "[cal] pending:%s", pendingStr);
px4_usleep(20000);
calibration_log_info(mavlink_log_pub, "[cal] hold vehicle still on a pending side");
px4_usleep(20000);
enum detect_orientation_return orient = detect_orientation(mavlink_log_pub, lenient_still_position);
if (orient == ORIENTATION_ERROR) {
orientation_failures++;
calibration_log_info(mavlink_log_pub, "[cal] detected motion, hold still...");
px4_usleep(20000);
continue;
}
/* inform user about already handled side */
if (side_data_collected[orient]) {
orientation_failures++;
set_tune(TONE_NOTIFY_NEGATIVE_TUNE);
calibration_log_info(mavlink_log_pub, "[cal] %s side already completed", detect_orientation_str(orient));
px4_usleep(20000);
continue;
}
calibration_log_info(mavlink_log_pub, CAL_QGC_ORIENTATION_DETECTED_MSG, detect_orientation_str(orient));
px4_usleep(20000);
calibration_log_info(mavlink_log_pub, CAL_QGC_ORIENTATION_DETECTED_MSG, detect_orientation_str(orient));
px4_usleep(20000);
orientation_failures = 0;
// Call worker routine
result = calibration_worker(orient, worker_data);
if (result != calibrate_return_ok) {
break;
}
calibration_log_info(mavlink_log_pub, CAL_QGC_SIDE_DONE_MSG, detect_orientation_str(orient));
px4_usleep(20000);
calibration_log_info(mavlink_log_pub, CAL_QGC_SIDE_DONE_MSG, detect_orientation_str(orient));
px4_usleep(20000);
// Note that this side is complete
side_data_collected[orient] = true;
// output neutral tune
set_tune(TONE_NOTIFY_NEUTRAL_TUNE);
// temporary priority boost for the white blinking led to come trough
rgbled_set_color_and_mode(led_control_s::COLOR_WHITE, led_control_s::MODE_BLINK_FAST, 3, 1);
px4_usleep(200000);
}
return result;
}
bool calibrate_cancel_check(orb_advert_t *mavlink_log_pub, const hrt_abstime &calibration_started)
{
bool ret = false;
uORB::Subscription vehicle_command_sub{ORB_ID(vehicle_command)};
vehicle_command_s cmd;
while (vehicle_command_sub.update(&cmd)) {
if (cmd.command == vehicle_command_s::VEHICLE_CMD_PREFLIGHT_CALIBRATION) {
// only handle commands sent after calibration started from external sources
if ((cmd.timestamp > calibration_started) && cmd.from_external) {
vehicle_command_ack_s command_ack{};
if ((int)cmd.param1 == 0 &&
(int)cmd.param2 == 0 &&
(int)cmd.param3 == 0 &&
(int)cmd.param4 == 0 &&
(int)cmd.param5 == 0 &&
(int)cmd.param6 == 0) {
command_ack.result = vehicle_command_s::VEHICLE_CMD_RESULT_ACCEPTED;
mavlink_log_critical(mavlink_log_pub, CAL_QGC_CANCELLED_MSG);
tune_positive(true);
ret = true;
} else {
command_ack.result = vehicle_command_s::VEHICLE_CMD_RESULT_DENIED;
mavlink_log_critical(mavlink_log_pub, "command denied during calibration: %u", cmd.command);
tune_negative(true);
ret = false;
}
command_ack.command = cmd.command;
command_ack.target_system = cmd.source_system;
command_ack.target_component = cmd.source_component;
command_ack.timestamp = hrt_absolute_time();
uORB::PublicationQueued<vehicle_command_ack_s> command_ack_pub{ORB_ID(vehicle_command_ack)};
command_ack_pub.publish(command_ack);
return ret;
}
}
}
return ret;
}