mirror of
https://gitee.com/mirrors_PX4/PX4-Autopilot.git
synced 2026-08-21 21:00:34 +08:00
added trajectories & enabled closed loop soaring
This commit is contained in:
@@ -5,5 +5,7 @@ uint64 timestamp # time since system start (microseconds)
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float32[3] wind_estimate # WIND ESTIMATE IN ENU FRAME
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float32[3] wind_estimate_filtered # LP-FILTERED WIND ESTIMATE IN ENU FRAME, USED BY INDI CONTROLLER
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float32[3] position # position of the current estimate in the soaring frame
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float32 airspeed # current airspeed
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bool valid # tell, if estimate is valid for shear estimator
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bool lock_params # tell, if the shear estimator shall lock shear param values for soaring
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@@ -20,10 +20,11 @@ float32 coeff_0 # offset vertical wind
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float32 coeff_1 # linear coeff vertical wind
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float32 coeff_2 # quadratic coeff vertical wind
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float32 v_max # discrete value of v_max (shear velocity)
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float32 alpha # discrete value of alpha (shear strength)
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float32 v_max # discrete value of v_max (shear velocity), identifier for appropriate trajectrory
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float32 alpha # discrete value of alpha (shear strength), identifier for appropriate trajectrory
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float32 h_ref # discrete value of h_ref (shear location)
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float32 psi # discrete value of shear heading
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float32 aspd # airspeed identifier for appropriate trajectrory
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bool soaring_feasible # plausibility check
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uint64 reset_counter # filter reset counter
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@@ -90,10 +90,14 @@ FixedwingPositionINDIControl::init()
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_R_enu_to_ned = _R_ned_to_enu;
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// initialize wind shear params
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_shear_v_max = 0.f;
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_shear_alpha = 0.f;
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_shear_v_max = 8.f;
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_shear_alpha = 0.5f;
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_shear_h_ref = 0.f;
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_shear_heading = M_PI_2_F;
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_shear_aspd = 20.f;
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// initialize in manual feedthrough
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_switch_manual = true;
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// initialize transform to trajec frame
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_compute_trajectory_transform();
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@@ -166,20 +170,21 @@ FixedwingPositionINDIControl::parameters_update()
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PX4_INFO("local reference frame updated");
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_loiter = _param_loiter.get();
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_select_trajectory(0.0f);
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_thrust_pos = _param_thrust.get();
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_thrust = _thrust_pos;
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_switch_saturation = _param_switch_saturation.get();
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_switch_filter = _param_switch_filter.get();
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_switch_origin_hardcoded = _param_switch_origin_hardcoded.get();
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_switch_manual = _param_switch_manual.get();
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_switch_cl_soaring = _param_switch_cloop.get();
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_loiter = _param_loiter.get();
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// only update shear heading and height with params, if desired
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if (_switch_origin_hardcoded) {
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_shear_heading = _param_shear_heading.get()/180.f * M_PI_F + M_PI_2_F;
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_shear_h_ref = _param_shear_height.get();
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_select_loiter_trajectory();
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}
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@@ -287,6 +292,7 @@ FixedwingPositionINDIControl::rc_channels_poll()
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{
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if (_rc_channels_sub.update(&_rc_channels)) {
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// use flaps channel to select manual feedthrough
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/*
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if (_rc_channels.channels[5]>=0.f){
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_switch_manual = 1;
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}
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@@ -294,6 +300,8 @@ FixedwingPositionINDIControl::rc_channels_poll()
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_switch_manual = 0;
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_thrust = _thrust_pos;
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}
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*/
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_thrust = _thrust_pos; //TODO:remove!!!
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}
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}
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@@ -391,6 +399,25 @@ FixedwingPositionINDIControl::soaring_controller_status_poll()
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}
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}
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void
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FixedwingPositionINDIControl::soaring_estimator_shear_poll()
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{
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if (!_switch_origin_hardcoded) {
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if (_soaring_estimator_shear_sub.update(&_soaring_estimator_shear)){
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// update the shear estimate, only if we are flying in manual feedthrough for safety reasons
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_shear_v_max = _soaring_estimator_shear.v_max;
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_shear_alpha = _soaring_estimator_shear.alpha;
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_shear_h_ref = _soaring_estimator_shear.h_ref;
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_shear_heading = _soaring_estimator_shear.psi - M_PI_2_F;
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_soaring_feasible = _soaring_estimator_shear.soaring_feasible;
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// the initial speed of the target trajectory can safely be updated during soaring :)
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_shear_aspd = _soaring_estimator_shear.aspd;
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}
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// TODO: include some safety guards for large drifts, e.g. limit the maximum heading shift
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}
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}
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void
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FixedwingPositionINDIControl::_compute_trajectory_transform()
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{
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@@ -407,106 +434,70 @@ FixedwingPositionINDIControl::_set_wind_estimate(Vector3f wind)
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return;
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}
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void
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FixedwingPositionINDIControl::soaring_estimator_shear_poll()
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{
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if (_soaring_estimator_shear_sub.update(&_soaring_estimator_shear)){
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if (!_switch_origin_hardcoded) {
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_shear_v_max = _soaring_estimator_shear.v_max;
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_shear_alpha = _soaring_estimator_shear.alpha;
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_shear_h_ref = _soaring_estimator_shear.h_ref;
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_shear_heading = _soaring_estimator_shear.psi;
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}
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// TODO: include some safety guards for large drifts, e.g. limit the maximum heading shift
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}
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}
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float
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FixedwingPositionINDIControl::_getClosest(float val1, float val2, float target)
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void
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FixedwingPositionINDIControl::_reverse(char* str, int len)
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{
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if (target - val1 >= val2 - target)
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return val2;
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else
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return val1;
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}
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float
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FixedwingPositionINDIControl::_findClosest(float arr[], int n, float target)
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{
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// Corner cases
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if (target <= arr[0])
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return arr[0];
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if (target >= arr[n - 1])
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return arr[n - 1];
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// Doing binary search
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int i = 0, j = n, mid = 0;
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// copied from: https://www.geeksforgeeks.org/convert-floating-point-number-string/
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int i = 0, j = len - 1, temp;
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while (i < j) {
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mid = (i + j) / 2;
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if ((float)fabs(arr[mid]-target) < (float)0.0001f)
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return arr[mid];
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/* If target is less than array element,
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then search in left */
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if (target < arr[mid]) {
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// If target is greater than previous
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// to mid, return closest of two
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if (mid > 0 && target > arr[mid - 1])
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return _getClosest(arr[mid - 1],
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arr[mid], target);
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/* Repeat for left half */
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j = mid;
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}
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// If target is greater than mid
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else {
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if (mid < n - 1 && target < arr[mid + 1])
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return _getClosest(arr[mid],
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arr[mid + 1], target);
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// update i
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i = mid + 1;
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}
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temp = str[i];
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str[i] = str[j];
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str[j] = temp;
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i++;
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j--;
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}
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}
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int
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FixedwingPositionINDIControl::_int_to_str(int x, char str[], int d)
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{
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// copied from: https://www.geeksforgeeks.org/convert-floating-point-number-string/
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int i = 0;
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while (x) {
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str[i++] = (x % 10) + '0';
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x = x / 10;
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}
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// Only single element left after search
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return arr[mid];
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// If number of digits required is more, then
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// add 0s at the beginning
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while (i < d)
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str[i++] = '0';
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_reverse(str, i);
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str[i] = '\0';
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return i;
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}
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void
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FixedwingPositionINDIControl::_select_trajectory(float initial_energy)
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FixedwingPositionINDIControl::_float_to_str(float n, char* res, int afterpoint)
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{
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// copied from: https://www.geeksforgeeks.org/convert-floating-point-number-string/
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// Extract integer part
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int ipart = (int)n;
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// Extract floating part
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float fpart = n - (float)ipart;
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// convert integer part to string
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int i = _int_to_str(ipart, res, 0);
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// check for display option after point
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if (afterpoint != 0) {
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res[i] = '.'; // add dot
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// Get the value of fraction part upto given no.
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// of points after dot. The third parameter
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// is needed to handle cases like 233.007
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fpart = fpart * (float)pow(10, afterpoint);
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_int_to_str((int)fpart, res + i + 1, afterpoint);
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}
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}
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void
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FixedwingPositionINDIControl::_select_loiter_trajectory()
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{
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/*
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We read a trajectory based on initial energy available at the beginning of the trajectory.
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So the trajectory is selected based on two criteria, first the correct wind shear params (alpha and V_max) and the initial energy (potential + kinetic).
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The filename structure of the trajectories is the following:
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trajec_<type>_<V_max>_<alpha>_<energy>_
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with
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<type> in {nominal, robust}
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<V_max> in [08,12]
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<alpha> in [0.20, 1.00]
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<energy> in [E_min, E_max]
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*/
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/*
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float e = 20.f;//_findClosest(_energy_arr, _gridsize, _airspeed); // initial energy
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char file[30] = "trajec_robust";
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char v_str[6];
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char a_str[6];
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char e_str[6];
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strcat(file,"_");
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strcat(file,gcvt(_shear_v_max, 2, v_str));
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strcat(file,"_");
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strcat(file,gcvt(_shear_alpha, 3, a_str));
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strcat(file,"_");
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strcat(file,gcvt(e, 2, e_str));
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strcat(file,".csv");
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PX4_INFO("filename: \t%.30s", file);
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*/
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// select loiter trajectory for loiter test
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char filename[16];
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@@ -552,6 +543,43 @@ FixedwingPositionINDIControl::_select_trajectory(float initial_energy)
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_read_trajectory_coeffs_csv(filename);
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}
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void
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FixedwingPositionINDIControl::_select_soaring_trajectory()
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{
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/*
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We read a trajectory based on initial energy available at the beginning of the trajectory.
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So the trajectory is selected based on two criteria, first the correct wind shear params (alpha and V_max) and the initial energy (potential + kinetic).
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The filename structure of the trajectories is the following:
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trajec_<type>_<V_max>_<alpha>_<energy>_
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with
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<type> in {nominal, robust}
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<V_max> in [08,12]
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<alpha> in [020, 100]
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<energy> in [E_min, E_max]
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*/
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char file[40] = "robust/coeffs_robust";
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char v_str[3];
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char a_str[3];
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char e_str[3];
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// get the correct filename
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_float_to_str(_shear_v_max, v_str, 0);
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_float_to_str(_shear_alpha*100.f, a_str, 0);
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_float_to_str(_shear_aspd, e_str, 0);
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strcat(file,"_");
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strcat(file,v_str);
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strcat(file,"_");
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strcat(file,a_str);
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strcat(file,"_");
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strcat(file,e_str);
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strcat(file,".csv");
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PX4_INFO("filename: \t%.40s", file);
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// get the basis coeffs from file
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_read_trajectory_coeffs_csv(file);
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}
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void
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FixedwingPositionINDIControl::_read_trajectory_coeffs_csv(char *filename)
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{
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@@ -624,41 +652,41 @@ FixedwingPositionINDIControl::_read_trajectory_coeffs_csv(char *filename)
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// go back to safety mode loiter circle
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if(error){
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// 100m radius circle trajec
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_basis_coeffs_x(0) = -0.000064f;
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_basis_coeffs_x(1) = -3020.233571f;
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_basis_coeffs_x(2) = 10609.960177f;
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_basis_coeffs_x(3) = -17956.458964f;
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_basis_coeffs_x(4) = 15735.479961f;
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_basis_coeffs_x(5) = -2399.573434f;
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_basis_coeffs_x(6) = -11421.854705f;
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_basis_coeffs_x(7) = 12388.936542f;
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_basis_coeffs_x(8) = 120.944433f;
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_basis_coeffs_x(9) = -12530.869640f;
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_basis_coeffs_x(10) = 11346.431128f;
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_basis_coeffs_x(11) = 2643.369342f;
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_basis_coeffs_x(12) = -15999.009519f;
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_basis_coeffs_x(13) = 18127.094775f;
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_basis_coeffs_x(14) = -10676.696033f;
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_basis_coeffs_x(15) = 3032.667571f;
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_basis_coeffs_x(0) = 0.000038f;
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_basis_coeffs_x(1) = 1812.140143f;
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_basis_coeffs_x(2) = -6365.976106f;
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_basis_coeffs_x(3) = 10773.875378f;
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_basis_coeffs_x(4) = -9441.287977f;
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_basis_coeffs_x(5) = 1439.744061f;
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_basis_coeffs_x(6) = 6853.112823f;
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_basis_coeffs_x(7) = -7433.361925f;
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_basis_coeffs_x(8) = -72.566660f;
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_basis_coeffs_x(9) = 7518.521784f;
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_basis_coeffs_x(10) = -6807.858677f;
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_basis_coeffs_x(11) = -1586.021605f;
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_basis_coeffs_x(12) = 9599.405711f;
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_basis_coeffs_x(13) = -10876.256865f;
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_basis_coeffs_x(14) = 6406.017620f;
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_basis_coeffs_x(15) = -1819.600542f;
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_basis_coeffs_y(0) = -100.005984f;
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_basis_coeffs_y(1) = -4686.100637f;
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_basis_coeffs_y(2) = 21963.998713f;
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_basis_coeffs_y(3) = -50566.542718f;
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_basis_coeffs_y(4) = 71908.811359f;
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_basis_coeffs_y(5) = -61683.065460f;
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_basis_coeffs_y(6) = 15730.546677f;
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_basis_coeffs_y(7) = 39386.062413f;
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_basis_coeffs_y(8) = -63952.599923f;
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_basis_coeffs_y(9) = 39525.510553f;
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_basis_coeffs_y(10) = 15526.730604f;
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_basis_coeffs_y(11) = -61505.752706f;
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_basis_coeffs_y(12) = 71804.582542f;
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_basis_coeffs_y(13) = -50525.803330f;
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_basis_coeffs_y(14) = 21954.858741f;
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_basis_coeffs_y(15) = -4685.311429f;
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_basis_coeffs_y(0) = -59.999852f;
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_basis_coeffs_y(1) = -2811.660383f;
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_basis_coeffs_y(2) = 13178.399227f;
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_basis_coeffs_y(3) = -30339.925641f;
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_basis_coeffs_y(4) = 43145.286828f;
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_basis_coeffs_y(5) = -37009.839292f;
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_basis_coeffs_y(6) = 9438.328009f;
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_basis_coeffs_y(7) = 23631.637452f;
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_basis_coeffs_y(8) = -38371.559953f;
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_basis_coeffs_y(9) = 23715.306334f;
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_basis_coeffs_y(10) = 9316.038368f;
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_basis_coeffs_y(11) = -36903.451639f;
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_basis_coeffs_y(12) = 43082.749551f;
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_basis_coeffs_y(13) = -30315.482005f;
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_basis_coeffs_y(14) = 13172.915247f;
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_basis_coeffs_y(15) = -2811.186858f;
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_basis_coeffs_z(0) = 100.0f;
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_basis_coeffs_z(0) = 30.0f;
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_basis_coeffs_z(1) = 0.0f;
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_basis_coeffs_z(2) = 0.0f;
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_basis_coeffs_z(3) = 0.0f;
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@@ -741,10 +769,8 @@ FixedwingPositionINDIControl::Run()
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vehicle_angular_acceleration_poll();
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soaring_controller_status_poll();
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// update the shear estimate, only if we are flying in manual feedthrough for safety reasons
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if (_switch_manual) {
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soaring_estimator_shear_poll();
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}
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// update the shear estimate, only target airspeed is updated in soaring mode
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soaring_estimator_shear_poll();
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// update transform from trajectory frame to ENU frame (soaring frame)
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_compute_trajectory_transform();
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@@ -778,11 +804,21 @@ FixedwingPositionINDIControl::Run()
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actuator_controls_poll();
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}
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// =================================
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// get reference point on trajectory
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// =================================
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float t_ref = _get_closest_t(_pos);
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// =================================================================
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// possibly select a new trajectory, if we are finishing the old one
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// =================================================================
|
||||
if (!_switch_origin_hardcoded && t_ref>=0.97f && (hrt_absolute_time()-_last_time_trajec)>1000000) {
|
||||
_select_soaring_trajectory();
|
||||
_last_time_trajec = hrt_absolute_time();
|
||||
}
|
||||
// ============================
|
||||
// compute reference kinematics
|
||||
// ============================
|
||||
// get reference values
|
||||
float t_ref = _get_closest_t(_pos);
|
||||
// downscale velocity to match current one,
|
||||
// terminal time is determined such that current velocity is met
|
||||
Vector3f v_ref_ = _get_velocity_ref(t_ref, 1.0f);
|
||||
@@ -905,6 +941,15 @@ FixedwingPositionINDIControl::Run()
|
||||
_soaring_controller_wind.position[0] = _pos(0);
|
||||
_soaring_controller_wind.position[1] = _pos(1);
|
||||
_soaring_controller_wind.position[2] = _pos(2);
|
||||
_soaring_controller_wind.airspeed = _airspeed;
|
||||
if (_switch_cl_soaring) {
|
||||
// always update shear params in closed loop soaring mode
|
||||
_soaring_controller_wind.lock_params = true;
|
||||
}
|
||||
else {
|
||||
// only update in manual feedthrough iin open loop soaring
|
||||
_soaring_controller_wind.lock_params = !_switch_manual;
|
||||
}
|
||||
Eulerf e(Quatf(_attitude.q));
|
||||
float bank = e(0);
|
||||
if ((float)fabs(bank)<0.5f) {
|
||||
|
||||
@@ -224,7 +224,11 @@ private:
|
||||
// command filtering
|
||||
(ParamInt<px4::params::DS_SWITCH_FILTER>) _param_switch_filter,
|
||||
// hardcoded trajectory center
|
||||
(ParamInt<px4::params::DS_SWITCH_ORI_HC>) _param_switch_origin_hardcoded
|
||||
(ParamInt<px4::params::DS_SWITCH_ORI_HC>) _param_switch_origin_hardcoded,
|
||||
// manual switch if manual feedthrough is used, REMOVE!!!
|
||||
(ParamInt<px4::params::DS_SWITCH_MANUAL>) _param_switch_manual,
|
||||
// manual switch if manual feedthrough is used, REMOVE!!!
|
||||
(ParamInt<px4::params::DS_SWITCH_CLOOP>) _param_switch_cloop
|
||||
|
||||
)
|
||||
|
||||
@@ -268,7 +272,8 @@ private:
|
||||
|
||||
// controller methods
|
||||
void _compute_trajectory_transform(); // compute the transform between trajectory frame and ENU frame (soaring frame) based on shear params
|
||||
void _select_trajectory(float initial_energy); // select the correct trajectory based on available energy
|
||||
void _select_loiter_trajectory(); // select the correct loiter trajectory based on available energy
|
||||
void _select_soaring_trajectory(); // select the correct loiter trajectory based on available energy
|
||||
void _read_trajectory_coeffs_csv(char *filename); // read in the correct coefficients of the appropriate trajectory
|
||||
void _set_wind_estimate(Vector3f wind);
|
||||
float _get_closest_t(Vector3f pos); // get the normalized time, at which the reference path is closest to the current position
|
||||
@@ -288,8 +293,9 @@ private:
|
||||
Vector3f _compute_actuator_deflections(Vector3f ctrl);
|
||||
|
||||
// helper methods
|
||||
float _getClosest(float val1, float val2, float taget); // get float closest to target
|
||||
float _findClosest(float arr[], int n, float target); // return element in arr closest to n
|
||||
void _reverse(char* str, int len); // reverse a string of length 'len'
|
||||
int _int_to_str(int x, char str[], int d); // convert an integer x into a string of length d
|
||||
void _float_to_str(float n, char* res, int afterpoint); // convert float to string
|
||||
|
||||
|
||||
// control variables
|
||||
@@ -349,11 +355,11 @@ private:
|
||||
float _C_D2;
|
||||
float _aoa_offset;
|
||||
float _stall_speed;
|
||||
// trajecotry origin in WGS84
|
||||
// trajectory origin in WGS84
|
||||
float _origin_lat;
|
||||
float _origin_lon;
|
||||
float _origin_alt;
|
||||
// trajecotry origin in current NED local frame
|
||||
// trajectory origin in current NED local frame
|
||||
float _origin_N;
|
||||
float _origin_E;
|
||||
float _origin_D;
|
||||
@@ -363,19 +369,25 @@ private:
|
||||
float _shear_energy;
|
||||
float _shear_h_ref;
|
||||
float _shear_heading;
|
||||
float _shear_aspd;
|
||||
// loiter circle
|
||||
int _loiter;
|
||||
// thrust
|
||||
float _thrust;
|
||||
float _thrust_pos;
|
||||
// controller mode
|
||||
bool _switch_manual = 1;
|
||||
bool _switch_manual;
|
||||
// soaring mode
|
||||
bool _switch_cl_soaring;
|
||||
// force limit
|
||||
bool _switch_saturation;
|
||||
//
|
||||
bool _switch_filter;
|
||||
//
|
||||
bool _switch_origin_hardcoded;
|
||||
//
|
||||
bool _soaring_feasible;
|
||||
|
||||
|
||||
bool _airspeed_valid{false}; ///< flag if a valid airspeed estimate exists
|
||||
hrt_abstime _airspeed_last_valid{0}; ///< last time airspeed was received. Used to detect timeouts.
|
||||
@@ -403,6 +415,7 @@ private:
|
||||
Vector3f _f_command {};
|
||||
Vector3f _m_command {};
|
||||
Vector3f _w_err {};
|
||||
hrt_abstime _last_time_trajec{0};
|
||||
|
||||
};
|
||||
|
||||
|
||||
@@ -593,4 +593,49 @@ PARAM_DEFINE_INT32(DS_SWITCH_FILTER, 0);
|
||||
* @increment 1
|
||||
* @group FW DYN SOAR Control
|
||||
*/
|
||||
PARAM_DEFINE_INT32(DS_SWITCH_ORI_HC, 1);
|
||||
PARAM_DEFINE_INT32(DS_SWITCH_ORI_HC, 1);
|
||||
|
||||
// =================================================
|
||||
// ============= loiter trajectory test ============
|
||||
// =================================================
|
||||
|
||||
/**
|
||||
* integer in {0,1} defining if the loiter circle defined by param DS_LOITER shall be used, 0=soaring, 1=loiter
|
||||
* @unit
|
||||
* @min 0
|
||||
* @max 1
|
||||
* @decimal 1
|
||||
* @increment 1
|
||||
* @group FW DYN SOAR Control
|
||||
*/
|
||||
PARAM_DEFINE_INT32(DS_SWITCH_LOITER, 1);
|
||||
|
||||
// =================================================
|
||||
// ============= loiter trajectory test ============
|
||||
// =================================================
|
||||
|
||||
/**
|
||||
* integer in {0,1} defining if the loiter circle defined by param DS_LOITER shall be used, 0=soaring, 1=loiter
|
||||
* @unit
|
||||
* @min 0
|
||||
* @max 1
|
||||
* @decimal 1
|
||||
* @increment 1
|
||||
* @group FW DYN SOAR Control
|
||||
*/
|
||||
PARAM_DEFINE_INT32(DS_SWITCH_MANUAL, 1);
|
||||
|
||||
// =====================================================
|
||||
// ============= open loop / closed loop DS ============
|
||||
// =====================================================
|
||||
|
||||
/**
|
||||
* integer in {0,1} defining if the shear parameters are changed by the estimator while soaring (closed loop). 0=fixed shear, 1=changing shear
|
||||
* @unit
|
||||
* @min 0
|
||||
* @max 1
|
||||
* @decimal 1
|
||||
* @increment 1
|
||||
* @group FW DYN SOAR Control
|
||||
*/
|
||||
PARAM_DEFINE_INT32(DS_SWITCH_CLOOP, 0);
|
||||
@@ -0,0 +1,3 @@
|
||||
20.249834,-1498.036199,8991.961311,-24958.956623,41340.383016,-41631.426333,17050.379042,19263.586599,-39432.861865,25757.956616,11245.661203,-42344.771826,46970.231532,-29988.424357,10855.560938,-1677.368349
|
||||
-7.218114,5279.878939,-27707.912587,70515.279933,-109233.570552,102935.722143,-36476.002615,-51554.017800,94917.464988,-58786.945547,-27934.800286,100170.063042,-114150.638209,78214.058653,-32445.366144,6339.659956
|
||||
-3.934978,2391.325102,-14411.271810,42203.244020,-76716.253156,88945.359914,-51569.236117,-25572.454067,87611.185180,-77472.095071,-5984.618456,99770.259330,-135165.631325,101511.221087,-44631.608657,9162.447954
|
||||
|
@@ -0,0 +1,3 @@
|
||||
30.389860,912.982507,-2859.936980,3349.275775,-415.369310,-3481.089396,3363.872340,1179.921845,-4478.256881,1837.357593,3498.540940,-4492.878780,-393.125759,5151.515013,-4941.188034,1720.463927
|
||||
-2.598681,6191.674693,-33961.873408,91771.100021,-153409.649369,160707.118624,-75518.823722,-63886.003518,154241.187907,-115027.482925,-29953.909268,169169.609712,-207234.688426,146197.933872,-61050.853957,11854.416042
|
||||
-5.175201,6337.029321,-35104.159570,93181.991417,-150770.497726,150093.399535,-61550.310528,-68258.178502,141363.130375,-95038.720689,-36247.135711,151579.287214,-176414.846548,120921.610558,-49646.077608,9643.082070
|
||||
|
@@ -0,0 +1,3 @@
|
||||
32.051371,1650.704144,-6598.531219,12390.119252,-13493.269501,7461.379871,1207.142418,-5970.998355,5109.589560,-2016.879398,-1051.211663,4872.887766,-9270.656434,10649.395680,-7172.952936,2187.636700
|
||||
-2.536588,5861.765277,-31409.143579,83398.251187,-137714.029102,143429.216873,-67935.630936,-55607.262617,137500.343143,-105281.108656,-23844.091823,152076.782007,-190543.222950,136636.797526,-57806.608731,11327.398362
|
||||
-5.904772,4632.654322,-26493.025191,72582.753211,-121329.073480,125497.496032,-56176.364936,-52937.280101,119529.487901,-84942.741316,-26808.719959,129359.716901,-154410.364036,107437.399311,-44588.163669,8729.336822
|
||||
|
@@ -0,0 +1,3 @@
|
||||
31.550461,1802.021465,-7280.950015,13535.491205,-13709.001555,4905.090872,6059.191197,-9051.239430,2193.646055,5653.911056,-5994.939291,187.142042,3940.145313,-3036.799806,467.894600,264.261964
|
||||
-1.408562,1530.681950,-7030.394025,17659.485566,-29768.713956,34377.591980,-22054.294715,-6577.428854,34071.279368,-35600.224927,3176.621270,41037.278387,-63095.706736,50947.639967,-23488.896320,4861.320938
|
||||
-6.656401,3614.186108,-20979.720257,57857.341097,-96439.348021,98059.213352,-40613.389558,-45559.747550,93161.401353,-60017.407117,-27238.757931,98854.244272,-108993.602048,70675.872603,-27268.100397,4939.680351
|
||||
|
@@ -0,0 +1,3 @@
|
||||
25.410335,12.369353,1959.341036,-8789.968366,18176.031111,-21228.034894,10779.468992,8250.834025,-20609.224850,14712.910998,5000.912523,-22268.932175,25004.319692,-15842.902093,5610.391090,-829.009529
|
||||
-3.716716,280.704489,-355.903224,-42.054028,411.441751,48.519658,-966.642939,1056.796821,306.389270,-1784.185307,1405.545188,941.197024,-3024.804943,2941.961264,-1386.139276,194.633758
|
||||
-12.998982,-54.523260,-107.431879,894.728680,-1811.407856,1537.414454,269.917037,-1799.743712,1168.710656,907.451000,-1775.945580,467.630285,1230.793798,-1536.221303,816.460944,-188.715147
|
||||
|
@@ -0,0 +1,3 @@
|
||||
26.364149,177.069561,1575.881647,-9015.105328,20284.748852,-24877.180293,13157.069666,9693.742113,-24630.776658,17017.249779,6929.891099,-26402.315476,27658.672872,-15960.791210,4816.324261,-481.249223
|
||||
-2.697646,1243.905991,-6235.286985,17263.905468,-30739.116331,35075.762820,-19491.224818,-11225.334388,34615.605572,-28943.673202,-4147.157668,38977.054051,-50259.872605,36240.469382,-15200.785366,2862.042425
|
||||
-14.014894,-1092.010145,5356.556949,-12997.656894,19726.458704,-18688.134723,7112.080636,8917.358306,-17613.793090,11582.620986,4857.978470,-19032.575481,21707.141219,-14570.913691,5928.978876,-1176.673154
|
||||
|
@@ -0,0 +1,3 @@
|
||||
27.488500,656.714564,-711.172967,-3607.344213,12064.577564,-16596.522652,8958.423854,7053.652016,-16703.379958,9887.716036,6672.954466,-17214.521473,14463.030066,-5503.534726,-56.863972,586.594485
|
||||
-1.853833,2825.199512,-14819.713309,39749.522052,-66654.957686,70216.103407,-33192.369894,-27929.172351,67590.964130,-50210.497342,-13479.819481,74116.096587,-90020.883283,62825.979648,-25821.438511,4852.075439
|
||||
-15.520495,202.519559,-1992.254633,6620.692936,-11609.000166,11322.598007,-3304.062495,-6929.925323,10421.235612,-4187.407718,-5464.971653,10171.718394,-7863.904914,3026.319376,-146.513897,-237.651350
|
||||
|
@@ -0,0 +1,3 @@
|
||||
28.743402,2078.362604,-7793.565123,13384.615828,-12830.619300,5492.366699,2331.149832,-5092.810031,3520.435807,-1488.401128,-400.152676,3956.617004,-8314.481482,9383.643006,-5997.567239,1730.742485
|
||||
-1.213005,2555.978690,-13236.079583,35779.247030,-61178.493015,66475.594832,-33888.467431,-23956.790239,64629.202523,-51159.544433,-10075.409300,71917.010022,-90613.598094,64688.363705,-27025.918149,5135.121115
|
||||
-17.411436,702.346154,-4990.389270,14886.524601,-24997.074775,24043.706420,-7220.267390,-14427.214360,22387.881697,-9673.656090,-11279.697705,22289.916422,-17857.848174,7289.262350,-761.324352,-358.570553
|
||||
|
@@ -0,0 +1,3 @@
|
||||
25.807032,-2925.872531,17626.900070,-48527.605690,78596.032935,-75357.034383,25236.004181,41036.456675,-70062.204933,37296.741902,27673.478531,-72007.179628,70351.596401,-40377.817337,13192.714073,-1823.721759
|
||||
-4.269878,3512.386346,-18619.333231,49177.358335,-80294.515135,81470.119172,-35154.890428,-35584.523231,77472.889766,-53740.991735,-18680.370211,83663.230433,-98251.161352,67389.126785,-27495.736176,5196.375807
|
||||
-8.223582,1274.911396,-6466.041128,15689.522036,-23322.244799,21493.532705,-8013.896644,-9664.522910,19462.409749,-14105.767315,-3182.501226,21122.648162,-28453.328443,22442.344490,-10549.264290,2316.605428
|
||||
|
@@ -0,0 +1,3 @@
|
||||
28.265176,-979.386702,7419.686600,-22583.464563,37939.387710,-35793.651208,9323.655186,23112.091262,-32987.349099,11844.627678,18895.507035,-32027.986782,22354.058112,-6353.378068,-1374.824508,1159.236562
|
||||
-2.753809,5740.750259,-30974.191410,82232.589509,-134269.093565,135707.092980,-57790.468823,-59997.024412,128740.514055,-88400.008749,-31810.351026,138751.390069,-162076.229407,110706.908019,-44985.254781,8497.949168
|
||||
-10.288734,788.619135,-4015.272551,9464.238302,-13149.796146,10620.242441,-2203.465112,-6358.643341,9115.441480,-4803.765988,-3024.660611,9465.572049,-11175.374802,8141.654632,-3502.987926,673.165984
|
||||
|
@@ -0,0 +1,3 @@
|
||||
30.325031,998.588079,-2506.097464,1112.679847,4050.362173,-7575.827035,3610.703835,4807.328728,-7912.810595,1423.062563,6908.855151,-7047.123610,-733.895950,6947.392420,-6118.106380,1990.418874
|
||||
-1.862138,5260.310326,-28362.138836,75966.525157,-125941.228823,130403.059750,-59433.171446,-53682.762909,124674.457655,-90703.860259,-26247.739993,136080.693972,-164317.109412,114677.998992,-47345.783502,9043.380773
|
||||
-12.328782,1149.268543,-6165.422014,15011.048121,-20807.425742,15269.068476,396.019698,-13600.991138,12819.784834,-209.559789,-10963.031285,11285.062493,-3827.872287,-2235.123927,2898.333874,-992.707506
|
||||
|
@@ -0,0 +1,3 @@
|
||||
31.527635,1914.680208,-7066.786700,12001.498543,-11639.251141,5661.716637,833.889449,-3872.102019,4050.195339,-3333.621620,780.586620,4854.753625,-10852.776692,11992.859997,-7521.880502,2151.180312
|
||||
-1.186170,3479.031721,-18698.030760,51454.523473,-89011.366270,97857.359510,-51243.303570,-33721.655799,95275.494046,-77464.993449,-12838.707630,106615.132589,-136961.458686,99212.786606,-42070.122449,8177.263621
|
||||
-14.202558,-169.760541,386.222977,-846.701641,3119.384246,-7575.860335,9931.127792,-4154.570319,-8387.043291,16071.808162,-7926.249406,-12194.138559,27588.778783,-26471.170926,14053.983232,-3417.014125
|
||||
|
@@ -0,0 +1,3 @@
|
||||
23.841122,-2194.779263,12904.935717,-34666.854475,54673.688646,-50635.353984,15102.364305,29120.803253,-46437.225110,22974.724498,19662.679126,-47233.232100,44960.041833,-25267.742184,7979.427992,-1008.602929
|
||||
-5.541790,2437.156126,-12346.835276,31462.020082,-49779.670442,48984.591505,-19933.267591,-22260.621101,46139.632315,-31280.871902,-11476.000089,49587.080568,-58457.462709,40644.366832,-16922.470009,3256.705963
|
||||
-6.078312,4452.065484,-24199.711547,63335.871292,-101626.656720,101030.434432,-42179.328607,-44663.085381,95065.016826,-66090.072687,-21936.472305,102617.427709,-123300.181672,86973.857880,-36758.005156,7353.148051
|
||||
|
@@ -0,0 +1,3 @@
|
||||
28.618106,-288.792161,3141.199165,-10182.309050,16315.417146,-12565.923060,-1804.904848,13936.301857,-10686.677337,-4628.945671,14412.868226,-7786.295636,-7077.609479,14394.202010,-10151.845969,2932.493559
|
||||
-3.146467,6224.002286,-33674.042838,89395.509712,-145919.391650,147545.429134,-63071.762176,-64892.129879,139981.750282,-96642.262001,-34043.616251,151037.881495,-177225.657573,121541.053753,-49595.003797,9419.304769
|
||||
-8.139910,1042.248379,-5428.501831,13729.525415,-21836.979841,22646.227162,-11832.542811,-6780.352416,21416.920927,-19818.471600,130.693847,24841.636573,-37042.455599,29967.380524,-13973.035278,2985.845469
|
||||
|
@@ -0,0 +1,3 @@
|
||||
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@@ -0,0 +1,3 @@
|
||||
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||||
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||||
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||||
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||||
18.644236,3664.504512,-18910.052428,47406.616989,-72593.958812,66763.877241,-20033.423313,-39186.042631,62879.857281,-30162.531932,-29180.255671,64565.368311,-56004.553026,26322.123288,-5677.399794,87.588777
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||||
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||||
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||||
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||||
31.015223,3191.701810,-15995.098483,39927.512319,-63031.923630,63597.356105,-29477.302102,-24266.761430,60077.060904,-47632.528848,-7678.339675,66386.687195,-89048.555505,69060.950608,-32472.203295,7353.602653
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@@ -0,0 +1,3 @@
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34.179720,1545.444045,-5471.597457,8224.120467,-5235.766940,-2023.805845,5853.792296,-2040.279567,-4091.668439,4217.042009,1459.855043,-4880.648438,1408.167143,3926.137545,-4735.507831,1794.132477
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|
||||
|
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Reference in New Issue
Block a user