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[rotorcraft] add rpy/earth commands to quaternion transformations
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127 changes: 127 additions & 0 deletions
127
sw/airborne/firmwares/rotorcraft/stabilization/stabilization_attitude_quat_transformations.c
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/* | ||
* Copyright (C) 2013 Felix Ruess <felix.ruess@gmail.com> | ||
* | ||
* This file is part of paparazzi. | ||
* | ||
* paparazzi is free software; you can redistribute it and/or modify | ||
* it under the terms of the GNU General Public License as published by | ||
* the Free Software Foundation; either version 2, or (at your option) | ||
* any later version. | ||
* | ||
* paparazzi is distributed in the hope that it will be useful, | ||
* but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | ||
* GNU General Public License for more details. | ||
* | ||
* You should have received a copy of the GNU General Public License | ||
* along with paparazzi; see the file COPYING. If not, write to | ||
* the Free Software Foundation, 59 Temple Place - Suite 330, | ||
* Boston, MA 02111-1307, USA. | ||
*/ | ||
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/** @file stabilization_attitude_quat_transformations.c | ||
* Quaternion transformation functions. | ||
*/ | ||
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#include "stabilization_attitude_quat_transformations.h" | ||
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void quat_from_rpy_cmd_i(struct Int32Quat *quat, struct Int32Eulers *rpy) { | ||
struct FloatEulers rpy_f; | ||
EULERS_FLOAT_OF_BFP(rpy_f, *rpy); | ||
struct FloatQuat quat_f; | ||
quat_from_rpy_cmd_f(&quat_f, &rpy_f); | ||
QUAT_BFP_OF_REAL(*quat, quat_f); | ||
} | ||
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void quat_from_rpy_cmd_f(struct FloatQuat *quat, struct FloatEulers *rpy) { | ||
// only a plug for now... doesn't apply roll/pitch wrt. current yaw angle | ||
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/* orientation vector describing simultaneous rotation of roll/pitch/yaw */ | ||
const struct FloatVect3 ov = {rpy->phi, rpy->theta, rpy->psi}; | ||
/* quaternion from that orientation vector */ | ||
FLOAT_QUAT_OF_ORIENTATION_VECT(*quat, ov); | ||
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} | ||
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void quat_from_earth_cmd_i(struct Int32Quat *quat, struct Int32Vect2 *cmd, int32_t heading) { | ||
// use float conversion for now... | ||
struct FloatVect2 cmd_f; | ||
cmd_f.x = ANGLE_FLOAT_OF_BFP(cmd->x); | ||
cmd_f.y = ANGLE_FLOAT_OF_BFP(cmd->y); | ||
float heading_f = ANGLE_FLOAT_OF_BFP(heading); | ||
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struct FloatQuat quat_f; | ||
quat_from_earth_cmd_f(&quat_f, &cmd_f, heading_f); | ||
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// convert back to fixed point | ||
QUAT_BFP_OF_REAL(*quat, quat_f); | ||
} | ||
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void quat_from_earth_cmd_f(struct FloatQuat *quat, struct FloatVect2 *cmd, float heading) { | ||
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/* orientation vector describing simultaneous rotation of roll/pitch */ | ||
const struct FloatVect3 ov = {cmd->x, cmd->y, 0.0}; | ||
/* quaternion from that orientation vector */ | ||
struct FloatQuat q_rp; | ||
FLOAT_QUAT_OF_ORIENTATION_VECT(q_rp, ov); | ||
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/* as rotation matrix */ | ||
struct FloatRMat R_rp; | ||
FLOAT_RMAT_OF_QUAT(R_rp, q_rp); | ||
/* body x-axis (before heading command) is first column */ | ||
struct FloatVect3 b_x; | ||
VECT3_ASSIGN(b_x, R_rp.m[0], R_rp.m[3], R_rp.m[6]); | ||
/* body z-axis (thrust vect) is last column */ | ||
struct FloatVect3 thrust_vect; | ||
VECT3_ASSIGN(thrust_vect, R_rp.m[2], R_rp.m[5], R_rp.m[8]); | ||
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/// @todo optimize yaw angle calculation | ||
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/* | ||
* Instead of using the psi setpoint angle to rotate around the body z-axis, | ||
* calculate the real angle needed to align the projection of the body x-axis | ||
* onto the horizontal plane with the psi setpoint. | ||
* | ||
* angle between two vectors a and b: | ||
* angle = atan2(norm(cross(a,b)), dot(a,b)) * sign(dot(cross(a,b), n)) | ||
* where the normal n is the thrust vector (i.e. both a and b lie in that plane) | ||
*/ | ||
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// desired heading vect in earth x-y plane | ||
const struct FloatVect3 psi_vect = {cosf(heading), sinf(heading), 0.0}; | ||
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/* projection of desired heading onto body x-y plane | ||
* b = v - dot(v,n)*n | ||
*/ | ||
float dot = FLOAT_VECT3_DOT_PRODUCT(psi_vect, thrust_vect); | ||
struct FloatVect3 dotn; | ||
FLOAT_VECT3_SMUL(dotn, thrust_vect, dot); | ||
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// b = v - dot(v,n)*n | ||
struct FloatVect3 b; | ||
FLOAT_VECT3_DIFF(b, psi_vect, dotn); | ||
dot = FLOAT_VECT3_DOT_PRODUCT(b_x, b); | ||
struct FloatVect3 cross; | ||
VECT3_CROSS_PRODUCT(cross, b_x, b); | ||
// norm of the cross product | ||
float nc = FLOAT_VECT3_NORM(cross); | ||
// angle = atan2(norm(cross(a,b)), dot(a,b)) | ||
float yaw2 = atan2(nc, dot) / 2.0; | ||
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// negative angle if needed | ||
// sign(dot(cross(a,b), n) | ||
float dot_cross_ab = FLOAT_VECT3_DOT_PRODUCT(cross, thrust_vect); | ||
if (dot_cross_ab < 0) { | ||
yaw2 = -yaw2; | ||
} | ||
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/* quaternion with yaw command */ | ||
struct FloatQuat q_yaw; | ||
QUAT_ASSIGN(q_yaw, cosf(yaw2), 0.0, 0.0, sinf(yaw2)); | ||
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/* final setpoint: apply roll/pitch, then yaw around resulting body z-axis */ | ||
FLOAT_QUAT_COMP(*quat, q_rp, q_yaw); | ||
FLOAT_QUAT_NORMALIZE(*quat); | ||
FLOAT_QUAT_WRAP_SHORTEST(*quat); | ||
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} |
38 changes: 38 additions & 0 deletions
38
sw/airborne/firmwares/rotorcraft/stabilization/stabilization_attitude_quat_transformations.h
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/* | ||
* Copyright (C) 2013 Felix Ruess <felix.ruess@gmail.com> | ||
* | ||
* This file is part of paparazzi. | ||
* | ||
* paparazzi is free software; you can redistribute it and/or modify | ||
* it under the terms of the GNU General Public License as published by | ||
* the Free Software Foundation; either version 2, or (at your option) | ||
* any later version. | ||
* | ||
* paparazzi is distributed in the hope that it will be useful, | ||
* but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | ||
* GNU General Public License for more details. | ||
* | ||
* You should have received a copy of the GNU General Public License | ||
* along with paparazzi; see the file COPYING. If not, write to | ||
* the Free Software Foundation, 59 Temple Place - Suite 330, | ||
* Boston, MA 02111-1307, USA. | ||
*/ | ||
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/** @file stabilization_attitude_quat_transformations.h | ||
* Quaternion transformation functions. | ||
*/ | ||
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#ifndef STABILIZATION_ATTITUDE_QUAT_TRANSFORMATIONS_H | ||
#define STABILIZATION_ATTITUDE_QUAT_TRANSFORMATIONS_H | ||
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#include "math/pprz_algebra_float.h" | ||
#include "math/pprz_algebra_int.h" | ||
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extern void quat_from_rpy_cmd_i(struct Int32Quat *quat, struct Int32Eulers *rpy); | ||
extern void quat_from_rpy_cmd_f(struct FloatQuat *quat, struct FloatEulers *rpy); | ||
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extern void quat_from_earth_cmd_i(struct Int32Quat *quat, struct Int32Vect2 *cmd, int32_t heading); | ||
extern void quat_from_earth_cmd_f(struct FloatQuat *quat, struct FloatVect2 *cmd, float heading); | ||
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#endif |