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/****************************************************************************
 *
 *   Copyright (c) 2013, 2014 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 mc_att_control_main.cpp
 * Multicopter attitude controller.
 *
 * Publication for the desired attitude tracking:
 * Daniel Mellinger and Vijay Kumar. Minimum Snap Trajectory Generation and Control for Quadrotors.
 * Int. Conf. on Robotics and Automation, Shanghai, China, May 2011.
 *
 * @author Tobias Naegeli <naegelit@student.ethz.ch>
 * @author Lorenz Meier <lm@inf.ethz.ch>
 * @author Anton Babushkin <anton.babushkin@me.com>
 *
 * The controller has two loops: P loop for angular error and PD loop for angular rate error.
 * Desired rotation calculated keeping in mind that yaw response is normally slower than roll/pitch.
 * For small deviations controller rotates copter to have shortest path of thrust vector and independently rotates around yaw,
 * so actual rotation axis is not constant. For large deviations controller rotates copter around fixed axis.
 * These two approaches fused seamlessly with weight depending on angular error.
 * When thrust vector directed near-horizontally (e.g. roll ~= PI/2) yaw setpoint ignored because of singularity.
 * Controller doesn't use Euler angles for work, they generated only for more human-friendly control and logging.
 * If rotation matrix setpoint is invalid it will be generated from Euler angles for compatibility with old position controllers.
 */

#include <nuttx/config.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <unistd.h>
#include <errno.h>
#include <math.h>
#include <poll.h>
#include <drivers/drv_hrt.h>
#include <arch/board/board.h>
#include <uORB/uORB.h>
#include <uORB/topics/vehicle_attitude_setpoint.h>
#include <uORB/topics/manual_control_setpoint.h>
#include <uORB/topics/actuator_controls.h>
#include <uORB/topics/actuator_controls_virtual_fw.h>
#include <uORB/topics/actuator_controls_virtual_mc.h>
#include <uORB/topics/vehicle_rates_setpoint.h>
#include <uORB/topics/fw_virtual_rates_setpoint.h>
#include <uORB/topics/mc_virtual_rates_setpoint.h>
#include <uORB/topics/vehicle_attitude.h>
#include <uORB/topics/vehicle_control_mode.h>
#include <uORB/topics/vehicle_status.h>
#include <uORB/topics/actuator_armed.h>
#include <uORB/topics/parameter_update.h>
#include <uORB/topics/multirotor_motor_limits.h>
#include <uORB/topics/mc_att_ctrl_status.h>
#include <systemlib/param/param.h>
#include <systemlib/err.h>
#include <systemlib/perf_counter.h>
#include <systemlib/systemlib.h>
#include <systemlib/circuit_breaker.h>
#include <lib/mathlib/mathlib.h>
#include <lib/geo/geo.h>

/**
 * Multicopter attitude control app start / stop handling function
 *
 * @ingroup apps
 */
extern "C" __EXPORT int mc_att_control_main(int argc, char *argv[]);

#define YAW_DEADZONE	0.05f
#define MIN_TAKEOFF_THRUST    0.2f
#define RATES_I_LIMIT	0.3f

class MulticopterAttitudeControl
{
public:
	/**
	 * Constructor
	 */
	MulticopterAttitudeControl();

	/**
	 * Destructor, also kills the main task
	 */
	~MulticopterAttitudeControl();

	/**
	 * Start the multicopter attitude control task.
	 *
	 * @return		OK on success.
	 */
	int		start();

private:

	bool	_task_should_exit;		/**< if true, task_main() should exit */
	int		_control_task;			/**< task handle */

	int		_v_att_sub;				/**< vehicle attitude subscription */
	int		_v_att_sp_sub;			/**< vehicle attitude setpoint subscription */
	int		_v_rates_sp_sub;		/**< vehicle rates setpoint subscription */
	int		_v_control_mode_sub;	/**< vehicle control mode subscription */
	int		_params_sub;			/**< parameter updates subscription */
	int		_manual_control_sp_sub;	/**< manual control setpoint subscription */
	int		_armed_sub;				/**< arming status subscription */
	int		_vehicle_status_sub;	/**< vehicle status subscription */
	int 	_motor_limits_sub;		/**< motor limits subscription */

	orb_advert_t	_att_sp_pub;			/**< attitude setpoint publication */
	orb_advert_t	_v_rates_sp_pub;		/**< rate setpoint publication */
	orb_advert_t	_actuators_0_pub;		/**< attitude actuator controls publication */
	orb_advert_t	_controller_status_pub;	/**< controller status publication */

	orb_id_t _rates_sp_id;	/**< pointer to correct rates setpoint uORB metadata structure */
	orb_id_t _actuators_id;	/**< pointer to correct actuator controls0 uORB metadata structure */

	bool		_actuators_0_circuit_breaker_enabled;	/**< circuit breaker to suppress output */

	struct vehicle_attitude_s			_v_att;				/**< vehicle attitude */
	struct vehicle_attitude_setpoint_s	_v_att_sp;			/**< vehicle attitude setpoint */
	struct vehicle_rates_setpoint_s		_v_rates_sp;		/**< vehicle rates setpoint */
	struct manual_control_setpoint_s	_manual_control_sp;	/**< manual control setpoint */
	struct vehicle_control_mode_s		_v_control_mode;	/**< vehicle control mode */
	struct actuator_controls_s			_actuators;			/**< actuator controls */
	struct actuator_armed_s				_armed;				/**< actuator arming status */
	struct vehicle_status_s				_vehicle_status;	/**< vehicle status */
	struct multirotor_motor_limits_s	_motor_limits;		/**< motor limits */
	struct mc_att_ctrl_status_s 		_controller_status; /**< controller status */

	perf_counter_t	_loop_perf;			/**< loop performance counter */
	perf_counter_t	_controller_latency_perf;

	math::Vector<3>		_rates_prev;	/**< angular rates on previous step */
	math::Vector<3>		_rates_sp;		/**< angular rates setpoint */
	math::Vector<3>		_rates_int;		/**< angular rates integral error */
	float				_thrust_sp;		/**< thrust setpoint */
	math::Vector<3>		_att_control;	/**< attitude control vector */

	math::Matrix<3, 3>  _I;				/**< identity matrix */

	bool	_reset_yaw_sp;			/**< reset yaw setpoint flag */

	struct {
		param_t roll_p;
		param_t roll_rate_p;
		param_t roll_rate_i;
		param_t roll_rate_d;
		param_t roll_rate_ff;
		param_t pitch_p;
		param_t pitch_rate_p;
		param_t pitch_rate_i;
		param_t pitch_rate_d;
		param_t pitch_rate_ff;
		param_t yaw_p;
		param_t yaw_rate_p;
		param_t yaw_rate_i;
		param_t yaw_rate_d;
		param_t yaw_rate_ff;
		param_t yaw_ff;
		param_t roll_rate_max;
		param_t pitch_rate_max;
		param_t yaw_rate_max;

		param_t man_roll_max;
		param_t man_pitch_max;
		param_t man_yaw_max;
		param_t acro_roll_max;
		param_t acro_pitch_max;
		param_t acro_yaw_max;

	}		_params_handles;		/**< handles for interesting parameters */

	struct {
		math::Vector<3> att_p;					/**< P gain for angular error */
		math::Vector<3> rate_p;				/**< P gain for angular rate error */
		math::Vector<3> rate_i;				/**< I gain for angular rate error */
		math::Vector<3> rate_d;				/**< D gain for angular rate error */
		math::Vector<3>	rate_ff;			/**< Feedforward gain for desired rates */
		float yaw_ff;						/**< yaw control feed-forward */

		float roll_rate_max;
		float pitch_rate_max;
		float yaw_rate_max;
		math::Vector<3> mc_rate_max;		/**< attitude rate limits in stabilized modes */

		float man_roll_max;
		float man_pitch_max;
		float man_yaw_max;
		math::Vector<3> acro_rate_max;		/**< max attitude rates in acro mode */

	}		_params;

	/**
	 * Update our local parameter cache.
	 */
	int			parameters_update();

	/**
	 * Check for parameter update and handle it.
	 */
	void		parameter_update_poll();

	/**
	 * Check for changes in vehicle control mode.
	 */
	void		vehicle_control_mode_poll();

	/**
	 * Check for changes in manual inputs.
	 */
	void		vehicle_manual_poll();

	/**
	 * Check for attitude setpoint updates.
	 */
	void		vehicle_attitude_setpoint_poll();

	/**
	 * Check for rates setpoint updates.
	 */
	void		vehicle_rates_setpoint_poll();

	/**
	 * Check for arming status updates.
	 */
	void		arming_status_poll();

	/**
	 * Attitude controller.
	 */
	void		control_attitude(float dt);

	/**
	 * Attitude rates controller.
	 */
	void		control_attitude_rates(float dt);

	/**
	 * Check for vehicle status updates.
	 */
	void		vehicle_status_poll();

	/**
	 * Check for vehicle motor limits status.
	 */
	void		vehicle_motor_limits_poll();

	/**
	 * Shim for calling task_main from task_create.
	 */
	static void	task_main_trampoline(int argc, char *argv[]);

	/**
	 * Main attitude control task.
	 */
	void		task_main();
};

namespace mc_att_control
{

/* oddly, ERROR is not defined for c++ */
#ifdef ERROR
# undef ERROR
#endif
static const int ERROR = -1;

MulticopterAttitudeControl	*g_control;
}

MulticopterAttitudeControl::MulticopterAttitudeControl() :

	_task_should_exit(false),
	_control_task(-1),

/* subscriptions */
	_v_att_sub(-1),
	_v_att_sp_sub(-1),
	_v_control_mode_sub(-1),
	_params_sub(-1),
	_manual_control_sp_sub(-1),
	_armed_sub(-1),
	_vehicle_status_sub(-1),

/* publications */
	_att_sp_pub(-1),
	_v_rates_sp_pub(-1),
	_actuators_0_pub(-1),
	_controller_status_pub(-1),
	_rates_sp_id(0),
	_actuators_id(0),

	_actuators_0_circuit_breaker_enabled(false),

/* performance counters */
	_loop_perf(perf_alloc(PC_ELAPSED, "mc_att_control")),
	_controller_latency_perf(perf_alloc_once(PC_ELAPSED, "ctrl_latency"))

{
	memset(&_v_att, 0, sizeof(_v_att));
	memset(&_v_att_sp, 0, sizeof(_v_att_sp));
	memset(&_v_rates_sp, 0, sizeof(_v_rates_sp));
	memset(&_manual_control_sp, 0, sizeof(_manual_control_sp));
	memset(&_v_control_mode, 0, sizeof(_v_control_mode));
	memset(&_actuators, 0, sizeof(_actuators));
	memset(&_armed, 0, sizeof(_armed));
	memset(&_vehicle_status, 0, sizeof(_vehicle_status));
	memset(&_motor_limits, 0, sizeof(_motor_limits));
	memset(&_controller_status,0,sizeof(_controller_status));
	_vehicle_status.is_rotary_wing = true;

	_params.att_p.zero();
	_params.rate_p.zero();
	_params.rate_i.zero();
	_params.rate_d.zero();
	_params.rate_ff.zero();
	_params.yaw_ff = 0.0f;
	_params.roll_rate_max = 0.0f;
	_params.pitch_rate_max = 0.0f;
	_params.yaw_rate_max = 0.0f;
	_params.man_roll_max = 0.0f;
	_params.man_pitch_max = 0.0f;
	_params.man_yaw_max = 0.0f;
	_params.mc_rate_max.zero();
	_params.acro_rate_max.zero();

	_rates_prev.zero();
	_rates_sp.zero();
	_rates_int.zero();
	_thrust_sp = 0.0f;
	_att_control.zero();

	_I.identity();

	_params_handles.roll_p			= 	param_find("MC_ROLL_P");
	_params_handles.roll_rate_p		= 	param_find("MC_ROLLRATE_P");
	_params_handles.roll_rate_i		= 	param_find("MC_ROLLRATE_I");
	_params_handles.roll_rate_d		= 	param_find("MC_ROLLRATE_D");
	_params_handles.roll_rate_ff	= 	param_find("MC_ROLLRATE_FF");
	_params_handles.pitch_p			= 	param_find("MC_PITCH_P");
	_params_handles.pitch_rate_p	= 	param_find("MC_PITCHRATE_P");
	_params_handles.pitch_rate_i	= 	param_find("MC_PITCHRATE_I");
	_params_handles.pitch_rate_d	= 	param_find("MC_PITCHRATE_D");
	_params_handles.pitch_rate_ff 	= 	param_find("MC_PITCHRATE_FF");
	_params_handles.yaw_p			=	param_find("MC_YAW_P");
	_params_handles.yaw_rate_p		= 	param_find("MC_YAWRATE_P");
	_params_handles.yaw_rate_i		= 	param_find("MC_YAWRATE_I");
	_params_handles.yaw_rate_d		= 	param_find("MC_YAWRATE_D");
	_params_handles.yaw_rate_ff	 	= 	param_find("MC_YAWRATE_FF");
	_params_handles.yaw_ff			= 	param_find("MC_YAW_FF");
	_params_handles.roll_rate_max	= 	param_find("MC_ROLLRATE_MAX");
	_params_handles.pitch_rate_max	= 	param_find("MC_PITCHRATE_MAX");
	_params_handles.yaw_rate_max	= 	param_find("MC_YAWRATE_MAX");
	_params_handles.man_roll_max	= 	param_find("MC_MAN_R_MAX");
	_params_handles.man_pitch_max	= 	param_find("MC_MAN_P_MAX");
	_params_handles.man_yaw_max		= 	param_find("MC_MAN_Y_MAX");
	_params_handles.acro_roll_max	= 	param_find("MC_ACRO_R_MAX");
	_params_handles.acro_pitch_max	= 	param_find("MC_ACRO_P_MAX");
	_params_handles.acro_yaw_max		= 	param_find("MC_ACRO_Y_MAX");

	/* fetch initial parameter values */
	parameters_update();
}

MulticopterAttitudeControl::~MulticopterAttitudeControl()
{
	if (_control_task != -1) {
		/* task wakes up every 100ms or so at the longest */
		_task_should_exit = true;

		/* wait for a second for the task to quit at our request */
		unsigned i = 0;

		do {
			/* wait 20ms */
			usleep(20000);

			/* if we have given up, kill it */
			if (++i > 50) {
				task_delete(_control_task);
				break;
			}
		} while (_control_task != -1);
	}

	mc_att_control::g_control = nullptr;
}

int
MulticopterAttitudeControl::parameters_update()
{
	float v;

	/* roll gains */
	param_get(_params_handles.roll_p, &v);
	_params.att_p(0) = v;
	param_get(_params_handles.roll_rate_p, &v);
	_params.rate_p(0) = v;
	param_get(_params_handles.roll_rate_i, &v);
	_params.rate_i(0) = v;
	param_get(_params_handles.roll_rate_d, &v);
	_params.rate_d(0) = v;
	param_get(_params_handles.roll_rate_ff, &v);
	_params.rate_ff(0) = v;

	/* pitch gains */
	param_get(_params_handles.pitch_p, &v);
	_params.att_p(1) = v;
	param_get(_params_handles.pitch_rate_p, &v);
	_params.rate_p(1) = v;
	param_get(_params_handles.pitch_rate_i, &v);
	_params.rate_i(1) = v;
	param_get(_params_handles.pitch_rate_d, &v);
	_params.rate_d(1) = v;
	param_get(_params_handles.pitch_rate_ff, &v);
	_params.rate_ff(1) = v;

	/* yaw gains */
	param_get(_params_handles.yaw_p, &v);
	_params.att_p(2) = v;
	param_get(_params_handles.yaw_rate_p, &v);
	_params.rate_p(2) = v;
	param_get(_params_handles.yaw_rate_i, &v);
	_params.rate_i(2) = v;
	param_get(_params_handles.yaw_rate_d, &v);
	_params.rate_d(2) = v;
	param_get(_params_handles.yaw_rate_ff, &v);
	_params.rate_ff(2) = v;

	param_get(_params_handles.yaw_ff, &_params.yaw_ff);

	/* angular rate limits */
	param_get(_params_handles.roll_rate_max, &_params.roll_rate_max);
	_params.mc_rate_max(0) = math::radians(_params.roll_rate_max);
	param_get(_params_handles.pitch_rate_max, &_params.pitch_rate_max);
	_params.mc_rate_max(1) = math::radians(_params.pitch_rate_max);
	param_get(_params_handles.yaw_rate_max, &_params.yaw_rate_max);
	_params.mc_rate_max(2) = math::radians(_params.yaw_rate_max);

	/* manual attitude control scale */
	param_get(_params_handles.man_roll_max, &_params.man_roll_max);
	param_get(_params_handles.man_pitch_max, &_params.man_pitch_max);
	param_get(_params_handles.man_yaw_max, &_params.man_yaw_max);
	_params.man_roll_max = math::radians(_params.man_roll_max);
	_params.man_pitch_max = math::radians(_params.man_pitch_max);
	_params.man_yaw_max = math::radians(_params.man_yaw_max);

	/* manual rate control scale and auto mode roll/pitch rate limits */
	param_get(_params_handles.acro_roll_max, &v);
	_params.acro_rate_max(0) = math::radians(v);
	param_get(_params_handles.acro_pitch_max, &v);
	_params.acro_rate_max(1) = math::radians(v);
	param_get(_params_handles.acro_yaw_max, &v);
	_params.acro_rate_max(2) = math::radians(v);

	_actuators_0_circuit_breaker_enabled = circuit_breaker_enabled("CBRK_RATE_CTRL", CBRK_RATE_CTRL_KEY);

	return OK;
}

void
MulticopterAttitudeControl::parameter_update_poll()
{
	bool updated;

	/* Check if parameters have changed */
	orb_check(_params_sub, &updated);

	if (updated) {
		struct parameter_update_s param_update;
		orb_copy(ORB_ID(parameter_update), _params_sub, &param_update);
		parameters_update();
	}
}

void
MulticopterAttitudeControl::vehicle_control_mode_poll()
{
	bool updated;

	/* Check if vehicle control mode has changed */
	orb_check(_v_control_mode_sub, &updated);

	if (updated) {
		orb_copy(ORB_ID(vehicle_control_mode), _v_control_mode_sub, &_v_control_mode);
	}
}

void
MulticopterAttitudeControl::vehicle_manual_poll()
{
	bool updated;

	/* get pilots inputs */
	orb_check(_manual_control_sp_sub, &updated);

	if (updated) {
		orb_copy(ORB_ID(manual_control_setpoint), _manual_control_sp_sub, &_manual_control_sp);
	}
}

void
MulticopterAttitudeControl::vehicle_attitude_setpoint_poll()
{
	/* check if there is a new setpoint */
	bool updated;
	orb_check(_v_att_sp_sub, &updated);

	if (updated) {
		orb_copy(ORB_ID(vehicle_attitude_setpoint), _v_att_sp_sub, &_v_att_sp);
	}
}

void
MulticopterAttitudeControl::vehicle_rates_setpoint_poll()
{
	/* check if there is a new setpoint */
	bool updated;
	orb_check(_v_rates_sp_sub, &updated);

	if (updated) {
		orb_copy(ORB_ID(vehicle_rates_setpoint), _v_rates_sp_sub, &_v_rates_sp);
	}
}

void
MulticopterAttitudeControl::arming_status_poll()
{
	/* check if there is a new setpoint */
	bool updated;
	orb_check(_armed_sub, &updated);

	if (updated) {
		orb_copy(ORB_ID(actuator_armed), _armed_sub, &_armed);
	}
}

void
MulticopterAttitudeControl::vehicle_status_poll()
{
	/* check if there is new status information */
	bool vehicle_status_updated;
	orb_check(_vehicle_status_sub, &vehicle_status_updated);

	if (vehicle_status_updated) {
		orb_copy(ORB_ID(vehicle_status), _vehicle_status_sub, &_vehicle_status);
		/* set correct uORB ID, depending on if vehicle is VTOL or not */
		if (!_rates_sp_id) {
			if (_vehicle_status.is_vtol) {
				_rates_sp_id = ORB_ID(mc_virtual_rates_setpoint);
				_actuators_id = ORB_ID(actuator_controls_virtual_mc);
			} else {
				_rates_sp_id = ORB_ID(vehicle_rates_setpoint);
				_actuators_id = ORB_ID(actuator_controls_0);
			}
		}
	}
}

void
MulticopterAttitudeControl::vehicle_motor_limits_poll()
{
	/* check if there is a new message */
	bool updated;
	orb_check(_motor_limits_sub, &updated);

	if (updated) {
		orb_copy(ORB_ID(multirotor_motor_limits), _motor_limits_sub, &_motor_limits);
	}
}

/*
 * Attitude controller.
 * Input: 'manual_control_setpoint' and 'vehicle_attitude_setpoint' topics (depending on mode)
 * Output: '_rates_sp' vector, '_thrust_sp', 'vehicle_attitude_setpoint' topic (for manual modes)
 */
void
MulticopterAttitudeControl::control_attitude(float dt)
{
	vehicle_attitude_setpoint_poll();

	_thrust_sp = _v_att_sp.thrust;

	/* construct attitude setpoint rotation matrix */
	math::Matrix<3, 3> R_sp;
	R_sp.set(_v_att_sp.R_body);

	/* rotation matrix for current state */
	math::Matrix<3, 3> R;
	R.set(_v_att.R);

	/* all input data is ready, run controller itself */

	/* try to move thrust vector shortest way, because yaw response is slower than roll/pitch */
	math::Vector<3> R_z(R(0, 2), R(1, 2), R(2, 2));
	math::Vector<3> R_sp_z(R_sp(0, 2), R_sp(1, 2), R_sp(2, 2));

	/* axis and sin(angle) of desired rotation */
	math::Vector<3> e_R = R.transposed() * (R_z % R_sp_z);

	/* calculate angle error */
	float e_R_z_sin = e_R.length();
	float e_R_z_cos = R_z * R_sp_z;

	/* calculate weight for yaw control */
	float yaw_w = R_sp(2, 2) * R_sp(2, 2);

	/* calculate rotation matrix after roll/pitch only rotation */
	math::Matrix<3, 3> R_rp;

	if (e_R_z_sin > 0.0f) {
		/* get axis-angle representation */
		float e_R_z_angle = atan2f(e_R_z_sin, e_R_z_cos);
		math::Vector<3> e_R_z_axis = e_R / e_R_z_sin;

		e_R = e_R_z_axis * e_R_z_angle;

		/* cross product matrix for e_R_axis */
		math::Matrix<3, 3> e_R_cp;
		e_R_cp.zero();
		e_R_cp(0, 1) = -e_R_z_axis(2);
		e_R_cp(0, 2) = e_R_z_axis(1);
		e_R_cp(1, 0) = e_R_z_axis(2);
		e_R_cp(1, 2) = -e_R_z_axis(0);
		e_R_cp(2, 0) = -e_R_z_axis(1);
		e_R_cp(2, 1) = e_R_z_axis(0);

		/* rotation matrix for roll/pitch only rotation */
		R_rp = R * (_I + e_R_cp * e_R_z_sin + e_R_cp * e_R_cp * (1.0f - e_R_z_cos));

	} else {
		/* zero roll/pitch rotation */
		R_rp = R;
	}

	/* R_rp and R_sp has the same Z axis, calculate yaw error */
	math::Vector<3> R_sp_x(R_sp(0, 0), R_sp(1, 0), R_sp(2, 0));
	math::Vector<3> R_rp_x(R_rp(0, 0), R_rp(1, 0), R_rp(2, 0));
	e_R(2) = atan2f((R_rp_x % R_sp_x) * R_sp_z, R_rp_x * R_sp_x) * yaw_w;

	if (e_R_z_cos < 0.0f) {
		/* for large thrust vector rotations use another rotation method:
		 * calculate angle and axis for R -> R_sp rotation directly */
		math::Quaternion q;
		q.from_dcm(R.transposed() * R_sp);
		math::Vector<3> e_R_d = q.imag();
		e_R_d.normalize();
		e_R_d *= 2.0f * atan2f(e_R_d.length(), q(0));

		/* use fusion of Z axis based rotation and direct rotation */
		float direct_w = e_R_z_cos * e_R_z_cos * yaw_w;
		e_R = e_R * (1.0f - direct_w) + e_R_d * direct_w;
	}

	/* calculate angular rates setpoint */
	_rates_sp = _params.att_p.emult(e_R);

	/* limit rates */
	for (int i = 0; i < 3; i++) {
		_rates_sp(i) = math::constrain(_rates_sp(i), -_params.mc_rate_max(i), _params.mc_rate_max(i));
	}

	/* feed forward yaw setpoint rate */
	_rates_sp(2) += _v_att_sp.yaw_sp_move_rate * yaw_w * _params.yaw_ff;
}

/*
 * Attitude rates controller.
 * Input: '_rates_sp' vector, '_thrust_sp'
 * Output: '_att_control' vector
 */
void
MulticopterAttitudeControl::control_attitude_rates(float dt)
{
	/* reset integral if disarmed */
	if (!_armed.armed || !_vehicle_status.is_rotary_wing) {
		_rates_int.zero();
	}

	/* current body angular rates */
	math::Vector<3> rates;
	rates(0) = _v_att.rollspeed;
	rates(1) = _v_att.pitchspeed;
	rates(2) = _v_att.yawspeed;

	/* angular rates error */
	math::Vector<3> rates_err = _rates_sp - rates;
	_att_control = _params.rate_p.emult(rates_err) + _params.rate_d.emult(_rates_prev - rates) / dt + _rates_int + _params.rate_ff.emult(_rates_sp);
	_rates_prev = rates;

	/* update integral only if not saturated on low limit and if motor commands are not saturated */
	if (_thrust_sp > MIN_TAKEOFF_THRUST && !_motor_limits.lower_limit && !_motor_limits.upper_limit ) {
		for (int i = 0; i < 3; i++) {
			if (fabsf(_att_control(i)) < _thrust_sp) {
				float rate_i = _rates_int(i) + _params.rate_i(i) * rates_err(i) * dt;

				if (isfinite(rate_i) && rate_i > -RATES_I_LIMIT && rate_i < RATES_I_LIMIT &&
				    _att_control(i) > -RATES_I_LIMIT && _att_control(i) < RATES_I_LIMIT) {
					_rates_int(i) = rate_i;
				}
			}
		}
	}
}

void
MulticopterAttitudeControl::task_main_trampoline(int argc, char *argv[])
{
	mc_att_control::g_control->task_main();
}

void
MulticopterAttitudeControl::task_main()
{

	/*
	 * do subscriptions
	 */
	_v_att_sp_sub = orb_subscribe(ORB_ID(vehicle_attitude_setpoint));
	_v_rates_sp_sub = orb_subscribe(ORB_ID(vehicle_rates_setpoint));
	_v_att_sub = orb_subscribe(ORB_ID(vehicle_attitude));
	_v_control_mode_sub = orb_subscribe(ORB_ID(vehicle_control_mode));
	_params_sub = orb_subscribe(ORB_ID(parameter_update));
	_manual_control_sp_sub = orb_subscribe(ORB_ID(manual_control_setpoint));
	_armed_sub = orb_subscribe(ORB_ID(actuator_armed));
	_vehicle_status_sub = orb_subscribe(ORB_ID(vehicle_status));
	_motor_limits_sub = orb_subscribe(ORB_ID(multirotor_motor_limits));

	/* initialize parameters cache */
	parameters_update();

	/* wakeup source: vehicle attitude */
	struct pollfd fds[1];

	fds[0].fd = _v_att_sub;
	fds[0].events = POLLIN;

	while (!_task_should_exit) {

		/* wait for up to 100ms for data */
		int pret = poll(&fds[0], (sizeof(fds) / sizeof(fds[0])), 100);

		/* timed out - periodic check for _task_should_exit */
		if (pret == 0)
			continue;

		/* this is undesirable but not much we can do - might want to flag unhappy status */
		if (pret < 0) {
			warn("poll error %d, %d", pret, errno);
			/* sleep a bit before next try */
			usleep(100000);
			continue;
		}

		perf_begin(_loop_perf);

		/* run controller on attitude changes */
		if (fds[0].revents & POLLIN) {
			static uint64_t last_run = 0;
			float dt = (hrt_absolute_time() - last_run) / 1000000.0f;
			last_run = hrt_absolute_time();

			/* guard against too small (< 2ms) and too large (> 20ms) dt's */
			if (dt < 0.002f) {
				dt = 0.002f;

			} else if (dt > 0.02f) {
				dt = 0.02f;
			}

			/* copy attitude topic */
			orb_copy(ORB_ID(vehicle_attitude), _v_att_sub, &_v_att);

			/* check for updates in other topics */
			parameter_update_poll();
			vehicle_control_mode_poll();
			arming_status_poll();
			vehicle_manual_poll();
			vehicle_status_poll();
			vehicle_motor_limits_poll();

			if (_v_control_mode.flag_control_attitude_enabled) {
				control_attitude(dt);

				/* publish attitude rates setpoint */
				_v_rates_sp.roll = _rates_sp(0);
				_v_rates_sp.pitch = _rates_sp(1);
				_v_rates_sp.yaw = _rates_sp(2);
				_v_rates_sp.thrust = _thrust_sp;
				_v_rates_sp.timestamp = hrt_absolute_time();

				if (_v_rates_sp_pub > 0) {
					orb_publish(_rates_sp_id, _v_rates_sp_pub, &_v_rates_sp);

				} else if (_rates_sp_id) {
					_v_rates_sp_pub = orb_advertise(_rates_sp_id, &_v_rates_sp);
				}

			} else {
				/* attitude controller disabled, poll rates setpoint topic */
				if (_v_control_mode.flag_control_manual_enabled) {
					/* manual rates control - ACRO mode */
					_rates_sp = math::Vector<3>(_manual_control_sp.y, -_manual_control_sp.x, _manual_control_sp.r).emult(_params.acro_rate_max);
					_thrust_sp = _manual_control_sp.z;

					/* publish attitude rates setpoint */
					_v_rates_sp.roll = _rates_sp(0);
					_v_rates_sp.pitch = _rates_sp(1);
					_v_rates_sp.yaw = _rates_sp(2);
					_v_rates_sp.thrust = _thrust_sp;
					_v_rates_sp.timestamp = hrt_absolute_time();

					if (_v_rates_sp_pub > 0) {
						orb_publish(_rates_sp_id, _v_rates_sp_pub, &_v_rates_sp);

					} else if (_rates_sp_id) {
						_v_rates_sp_pub = orb_advertise(_rates_sp_id, &_v_rates_sp);
					}

				} else {
					/* attitude controller disabled, poll rates setpoint topic */
					vehicle_rates_setpoint_poll();
					_rates_sp(0) = _v_rates_sp.roll;
					_rates_sp(1) = _v_rates_sp.pitch;
					_rates_sp(2) = _v_rates_sp.yaw;
					_thrust_sp = _v_rates_sp.thrust;
				}
			}

			if (_v_control_mode.flag_control_rates_enabled) {
				control_attitude_rates(dt);

				/* publish actuator controls */
				_actuators.control[0] = (isfinite(_att_control(0))) ? _att_control(0) : 0.0f;
				_actuators.control[1] = (isfinite(_att_control(1))) ? _att_control(1) : 0.0f;
				_actuators.control[2] = (isfinite(_att_control(2))) ? _att_control(2) : 0.0f;
				_actuators.control[3] = (isfinite(_thrust_sp)) ? _thrust_sp : 0.0f;
				_actuators.timestamp = hrt_absolute_time();
				_actuators.timestamp_sample = _v_att.timestamp;

				_controller_status.roll_rate_integ = _rates_int(0);
				_controller_status.pitch_rate_integ = _rates_int(1);
				_controller_status.yaw_rate_integ = _rates_int(2);
				_controller_status.timestamp = hrt_absolute_time();

				if (!_actuators_0_circuit_breaker_enabled) {
					if (_actuators_0_pub > 0) {
						orb_publish(_actuators_id, _actuators_0_pub, &_actuators);
						perf_end(_controller_latency_perf);

					} else if (_actuators_id) {
						_actuators_0_pub = orb_advertise(_actuators_id, &_actuators);
					}

				}

				/* publish controller status */
				if(_controller_status_pub > 0) {
					orb_publish(ORB_ID(mc_att_ctrl_status),_controller_status_pub, &_controller_status);
				} else {
					_controller_status_pub = orb_advertise(ORB_ID(mc_att_ctrl_status), &_controller_status);
				}
			}
		}

		perf_end(_loop_perf);
	}

	warnx("exit");

	_control_task = -1;
	_exit(0);
}

int
MulticopterAttitudeControl::start()
{
	ASSERT(_control_task == -1);

	/* start the task */
	_control_task = task_spawn_cmd("mc_att_control",
				       SCHED_DEFAULT,
				       SCHED_PRIORITY_MAX - 5,
				       1600,
				       (main_t)&MulticopterAttitudeControl::task_main_trampoline,
				       nullptr);

	if (_control_task < 0) {
		warn("task start failed");
		return -errno;
	}

	return OK;
}

int mc_att_control_main(int argc, char *argv[])
{
	if (argc < 2) {
		errx(1, "usage: mc_att_control {start|stop|status}");
	}

	if (!strcmp(argv[1], "start")) {

		if (mc_att_control::g_control != nullptr)
			errx(1, "already running");

		mc_att_control::g_control = new MulticopterAttitudeControl;

		if (mc_att_control::g_control == nullptr)
			errx(1, "alloc failed");

		if (OK != mc_att_control::g_control->start()) {
			delete mc_att_control::g_control;
			mc_att_control::g_control = nullptr;
			err(1, "start failed");
		}

		exit(0);
	}

	if (!strcmp(argv[1], "stop")) {
		if (mc_att_control::g_control == nullptr)
			errx(1, "not running");

		delete mc_att_control::g_control;
		mc_att_control::g_control = nullptr;
		exit(0);
	}

	if (!strcmp(argv[1], "status")) {
		if (mc_att_control::g_control) {
			errx(0, "running");

		} else {
			errx(1, "not running");
		}
	}

	warnx("unrecognized command");
	return 1;
}