added tailsitter recovery library

This commit is contained in:
Roman 2015-12-11 10:11:39 +01:00 committed by Lorenz Meier
parent f36669723d
commit 4e5fdebb13
3 changed files with 298 additions and 0 deletions

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############################################################################
#
# Copyright (c) 2015 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
# 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 PX4 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.
#
############################################################################
px4_add_module(
MODULE lib__tailsitter_recovery
COMPILE_FLAGS
-Os
SRCS
tailsitter_recovery.cpp
DEPENDS
platforms__common
)
# vim: set noet ft=cmake fenc=utf-8 ff=unix :

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/****************************************************************************
*
* Copyright (c) 2015 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
* 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 PX4 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 tailsitter_recovery.cpp
*/
#include "tailsitter_recovery.h"
#include <math.h>
TailsitterRecovery::TailsitterRecovery():
_in_recovery_mode(false)
{
_att_p(0) = _att_p(1) = _att_p(2) = 4.0f;
}
TailsitterRecovery::~TailsitterRecovery()
{
}
void TailsitterRecovery::setAttGains(math::Vector<3> &att_p, float yaw_ff)
{
_att_p = att_p;
_yaw_ff = yaw_ff;
}
void TailsitterRecovery::calcOptimalRates(math::Quaternion &q, math::Quaternion &q_sp, float yaw_move_rate,
math::Vector<3> &rates_opt)
{
math::Matrix<3, 3> R = q.to_dcm();
// compute error quaternion
math::Quaternion q_sp_inv = {q_sp(0), -q_sp(1), -q_sp(2), -q_sp(3)};
math::Quaternion q_error = q * q_sp_inv;
// compute tilt angle and corresponding tilt axis
math::Vector<3> zB = {0, 0, -1.0f};
math::Vector<3> zI = q_error.conjugate(zB);
float tilt_angle;
float inner_prod = zI * zB;
if (inner_prod >= 1.0f) {
tilt_angle = 0.0f;
} else if (inner_prod <= -1.0f) {
tilt_angle = M_PI_F;
} else {
tilt_angle = acosf(inner_prod);
}
math::Vector<3> tilt_axis = {0, 0, -1};
if (math::min(fabsf(tilt_angle), fabsf(tilt_angle - M_PI_F)) > 0.00001f) {
tilt_axis = zI % zB;
}
tilt_axis = R.transposed() * tilt_axis;
// compute desired rates based on tilt angle and tilt axis
float tilt_dir = atan2f(tilt_axis(0), tilt_axis(1));
float sign_x;
float sign_y;
float sign_z;
if (tilt_dir < -M_PI_2_F) {
tilt_dir += M_PI_F;
sign_x = -1;
sign_y = -1;
sign_z = 1;
} else if (tilt_dir < 0.0f) {
tilt_dir = 0.0f - tilt_dir;
sign_x = -1;
sign_y = 1;
sign_z = -1;
} else if (tilt_dir < M_PI_2_F) {
tilt_dir += 0;
sign_x = 1;
sign_y = 1;
sign_z = 1;
} else {
tilt_dir = M_PI_F - tilt_dir;
sign_x = 1;
sign_y = -1;
sign_z = -1;
}
// optimal coefficients
float pwx_kx1 = -1.676f;
float pwx_ky1 = 1.38f;
float pwx_ky2 = 0.8725f;
float pwx_sx0 = 0.3586f;
float pwx_sx1 = 2.642f;
float pwy_kx1 = -3.997f;
float pwy_sx0 = 2.133f;
float pwy_sx1 = 4.013f;
float pwz_kx1 = 2.726f;
float pwz_ky1 = 3.168f;
float pwz_ky2 = -0.3913f;
float pwz_sx0 = 1.75f;
float pwz_sx1 = 2.298f;
float x = tilt_angle;
float y = tilt_dir;
rates_opt(1) = (pwx_ky1 * (M_PI_2_F - y) + pwx_ky2 * powf(M_PI_2_F - y, 2)) *
(pwx_kx1 * x * SigmoidFunction(pwx_sx1 * (pwx_sx0 - x)) - pwx_kx1 * x * expf(pwx_sx1 *
(pwx_sx0 - M_PI_F)) * SigmoidFunction(pwx_sx1 * (M_PI_F - pwx_sx0)));
rates_opt(0) = pwy_kx1 * x + powf((M_PI_2_F - y) / (M_PI_2_F),
2) * (-pwy_kx1 * x * SigmoidFunction(pwy_sx1 * (pwy_sx0 - x)));
rates_opt(2) = (pwz_ky1 * (M_PI_2_F - y) + pwz_ky2 * powf(M_PI_2_F - y, 2)) *
(pwz_kx1 * (x - M_PI_F) * SigmoidFunction(pwz_sx1 * (x - pwz_sx0)) - pwz_kx1 * (x - M_PI_F) * SigmoidFunction(
-pwz_sx0 * pwz_sx1));
rates_opt(0) *= -sign_x;
rates_opt(1) *= -sign_y * 1.5f;
rates_opt(2) *= -sign_z;
float yaw_w = R(2, 2) > 0.0f ? R(2, 2) : 0.0f;
yaw_w = math::constrain(yaw_w, 0.0f, 1.0f);
// we activate recovery mode if our tilt error is more that 30 degrees or
if (!_in_recovery_mode) {
if (fabsf(tilt_angle) > math::radians(30.0f)) {
_in_recovery_mode = true;
}
} else {
if (fabsf(tilt_angle) < math::radians(5.0f)) {
_in_recovery_mode = false;
}
}
// do normal attitude control, the other case has already been handled
if (!_in_recovery_mode) {
q_error = q_sp_inv * q;
rates_opt = q_error(0) > 0.0f ? _att_p.emult(q_error.imag()) * (-2.0f) : _att_p.emult(q_error.imag()) * (2.0f);
// don't want too strong yaw control. after recovery vehicle might have
// very large yaw error and shouldn't turn too fast
rates_opt(2) = math::constrain(rates_opt(2), -1.0f, 1.0f);
}
rates_opt(2) += yaw_move_rate * yaw_w * _yaw_ff;
}

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/****************************************************************************
*
* Copyright (c) 2015 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
* 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 PX4 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 tailsitter_recovery.h
*
* Tailsitter optimal rate controller (underactuated pitch axis)
*
* This function can be used to compute desired body rates of a tailsitter
* suffering from an underactuated pitch axis. Tailsitters which produce a pitching moment
* from airflow over control surfaces mostly suffer from an underactuated pitch axis.
* This functions captures the solution of an optimal control problem which minimises
* the vehicle's tilt error and which penalises the desired rates of the underactuated
* pitch axis.
* Publication:
* Robin Ritz and Raffaello D'Andrea. A Global Strategy for Tailsitter Hover Control.
*
* @author Roman Bapst <bapstroman@gmail.com>
*/
#include <lib/mathlib/mathlib.h>
#define SigmoidFunction(val) 1/(1 + expf(-val))
class TailsitterRecovery
{
public:
TailsitterRecovery();
~TailsitterRecovery();
// Calculate the optimal rates:
// If the vehicle is not in need of a recovery, this function will do normal
// attitude control based on attitude error. If a recovery situation is detected
// then the rates are computed in an optimal way as described above.
void calcOptimalRates(math::Quaternion &q, math::Quaternion &q_sp, float yaw_move_rate, math::Vector<3> &rates_opt);
// Set the gains of the controller attitude loop.
void setAttGains(math::Vector<3> &att_p, float yaw_ff);
private:
bool _in_recovery_mode; // indicates that the tailsitter is performing a recovery to hover
math::Vector<3> _att_p; // gains for attitude loop
float _yaw_ff; // yaw feed forward gain
};