px4-firmware/EKF/ekf.cpp

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/**
 * @file ekf.cpp
 * Core functions for ekf attitude and position estimator.
 *
 * @author Roman Bast <bapstroman@gmail.com>
 * @author Paul Riseborough <p_riseborough@live.com.au>
 */

#include "ekf.h"
#include "mathlib.h"

Ekf::Ekf():
	_filter_initialised(false),
	_earth_rate_initialised(false),
	_fuse_height(false),
	_fuse_pos(false),
	_fuse_hor_vel(false),
	_fuse_vert_vel(false),
	_fuse_flow(false),
	_fuse_hagl_data(false),
	_time_last_fake_gps(0),
	_time_last_pos_fuse(0),
	_time_last_vel_fuse(0),
	_time_last_hgt_fuse(0),
	_time_last_of_fuse(0),
	_last_disarmed_posD(0.0f),
	_heading_innov(0.0f),
	_heading_innov_var(0.0f),
	_delta_time_of(0.0f),
	_mag_declination(0.0f),
	_gpsDriftVelN(0.0f),
	_gpsDriftVelE(0.0f),
	_gps_drift_velD(0.0f),
	_gps_velD_diff_filt(0.0f),
	_gps_velN_filt(0.0f),
	_gps_velE_filt(0.0f),
	_last_gps_fail_us(0),
	_last_gps_origin_time_us(0),
	_gps_alt_ref(0.0f),
	_hgt_counter(0),
	_time_last_hgt(0),
	_hgt_sum(0.0f),
	_mag_counter(0),
	_time_last_mag(0),
	_hgt_at_alignment(0.0f),
	_terrain_vpos(0.0f),
	_hagl_innov(0.0f),
	_hagl_innov_var(0.0f),
	_time_last_hagl_fuse(0),
	_baro_hgt_offset(0.0f)
{
	_control_status = {};
	_control_status_prev = {};
	_state = {};
	_last_known_posNE.setZero();
	_earth_rate_NED.setZero();
	_R_prev = matrix::Dcm<float>();
	memset(_vel_pos_innov, 0, sizeof(_vel_pos_innov));
	memset(_mag_innov, 0, sizeof(_mag_innov));
	memset(_flow_innov, 0, sizeof(_flow_innov));
	memset(_vel_pos_innov_var, 0, sizeof(_vel_pos_innov_var));
	memset(_mag_innov_var, 0, sizeof(_mag_innov_var));
	memset(_flow_innov_var, 0, sizeof(_flow_innov_var));
	_delta_angle_corr.setZero();
	_delta_vel_corr.setZero();
	_vel_corr.setZero();
	_last_known_posNE.setZero();
	_imu_down_sampled = {};
	_q_down_sampled.setZero();
	_mag_sum = {};
	_delVel_sum = {};
	_flow_gyro_bias = {};
	_imu_del_ang_of = {};
}

Ekf::~Ekf()
{
}

bool Ekf::init(uint64_t timestamp)
{
	bool ret = initialise_interface(timestamp);
	_state.ang_error.setZero();
	_state.vel.setZero();
	_state.pos.setZero();
	_state.gyro_bias.setZero();
	_state.gyro_scale(0) = 1.0f;
	_state.gyro_scale(1) = 1.0f;
	_state.gyro_scale(2) = 1.0f;
	_state.accel_z_bias = 0.0f;
	_state.mag_I.setZero();
	_state.mag_B.setZero();
	_state.wind_vel.setZero();
	_state.quat_nominal.setZero();
	_state.quat_nominal(0) = 1.0f;

	_output_new.vel.setZero();
	_output_new.pos.setZero();
	_output_new.quat_nominal = matrix::Quaternion<float>();

	_delta_angle_corr.setZero();
	_delta_vel_corr.setZero();
	_vel_corr.setZero();

	_imu_down_sampled.delta_ang.setZero();
	_imu_down_sampled.delta_vel.setZero();
	_imu_down_sampled.delta_ang_dt = 0.0f;
	_imu_down_sampled.delta_vel_dt = 0.0f;
	_imu_down_sampled.time_us = timestamp;

	_q_down_sampled(0) = 1.0f;
	_q_down_sampled(1) = 0.0f;
	_q_down_sampled(2) = 0.0f;
	_q_down_sampled(3) = 0.0f;

	_imu_updated = false;
	_NED_origin_initialised = false;
	_gps_speed_valid = false;
	_mag_healthy = false;

	_filter_initialised = false;
	_terrain_initialised = false;

	return ret;
}

bool Ekf::update()
{

		if (!_filter_initialised) {
			_filter_initialised = initialiseFilter();

			if (!_filter_initialised) {
				return false;
			}
		}

	// Only run the filter if IMU data in the buffer has been updated
	if (_imu_updated) {

		// perform state and covariance prediction for the main filter
		predictState();
		predictCovariance();

		// perform state and variance prediction for the terrain estimator
		if (!_terrain_initialised) {
			_terrain_initialised = initHagl();

		} else {
			predictHagl();
		}

		// control logic
		controlFusionModes();

		// measurement updates

		// Fuse magnetometer data using the selected fuson method and only if angular alignment is complete
		if (_mag_buffer.pop_first_older_than(_imu_sample_delayed.time_us, &_mag_sample_delayed)) {
			if (_control_status.flags.mag_3D && _control_status.flags.yaw_align) {
				fuseMag();

				if (_control_status.flags.mag_dec) {
					fuseDeclination();
				}

			} else if (_control_status.flags.mag_2D && _control_status.flags.yaw_align) {
				fuseMag2D();

			} else if (_control_status.flags.mag_hdg && _control_status.flags.yaw_align) {
				// fusion of a Euler yaw angle from either a 321 or 312 rotation sequence
				fuseHeading();

			} else {
				// do no fusion at all
			}
		}

		// determine if range finder data has fallen behind the fusin time horizon fuse it if we are
		// not tilted too much to use it
		if (_range_buffer.pop_first_older_than(_imu_sample_delayed.time_us, &_range_sample_delayed)
		    && (_R_prev(2, 2) > 0.7071f)) {
			// if we have range data we always try to estimate terrain height
			_fuse_hagl_data = true;

			// only use range finder as a height observation in the main filter if specifically enabled
			if (_control_status.flags.rng_hgt) {
				_fuse_height = true;
			}

		} else if ((_time_last_imu - _time_last_hgt_fuse) > 5e5 && _control_status.flags.rng_hgt) {
			// If we are supposed to be using range finder data as the primary height sensor, have missed or rejected measurements
			// and are on the ground, then synthesise a measurement at the expected on ground value
			if (!_in_air) {
				_range_sample_delayed.rng = _params.rng_gnd_clearance;
				_range_sample_delayed.time_us = _imu_sample_delayed.time_us;

			} else {
				// if this happens in the air, fuse the baro measurement to constrain drift
				// use the baro for this update only
				_control_status.flags.baro_hgt = true;
				_control_status.flags.rng_hgt = false;
			}

			_fuse_height = true;

		}

		// determine if baro data has fallen behind the fuson time horizon and fuse it in the main filter if enabled
		if (_baro_buffer.pop_first_older_than(_imu_sample_delayed.time_us, &_baro_sample_delayed)) {
			if (_control_status.flags.baro_hgt) {
				_fuse_height = true;

			} else {
				// calculate a filtered offset between the baro origin and local NED origin if we are not using the baro  as a height reference
				float offset_error = _baro_sample_delayed.hgt + _state.pos(2) - _baro_hgt_offset;
				_baro_hgt_offset += 0.02f * math::constrain(offset_error, -5.0f, 5.0f);
			}
		}

		// If we are using GPS aiding and data has fallen behind the fusion time horizon then fuse it
		if (_gps_buffer.pop_first_older_than(_imu_sample_delayed.time_us, &_gps_sample_delayed) && _control_status.flags.gps) {
			_fuse_pos = true;
			_fuse_vert_vel = true;
			_fuse_hor_vel = true;
		}

		// If we are using optical flow aiding and data has fallen behind the fusion time horizon, then fuse it
		if (_flow_buffer.pop_first_older_than(_imu_sample_delayed.time_us, &_flow_sample_delayed)
		    && _control_status.flags.opt_flow && (_time_last_imu - _time_last_optflow) < 2e5
		    && (_R_prev(2, 2) > 0.7071f)) {
			_fuse_flow = true;
		}

		// if we aren't doing any aiding, fake GPS measurements at the last known position to constrain drift
		// Coincide fake measurements with baro data for efficiency with a minimum fusion rate of 5Hz
		if (!_control_status.flags.gps && !_control_status.flags.opt_flow
		    && ((_time_last_imu - _time_last_fake_gps > 2e5) || _fuse_height)) {
			_fuse_pos = true;
			_gps_sample_delayed.pos(0) = _last_known_posNE(0);
			_gps_sample_delayed.pos(1) = _last_known_posNE(1);
			_time_last_fake_gps = _time_last_imu;
		}

		// fuse available range finder data into a terrain height estimator if it has been initialised
		if (_fuse_hagl_data && _terrain_initialised) {
			fuseHagl();
			_fuse_hagl_data = false;
		}

		// Fuse available NED velocity and position data into the main filter
		if (_fuse_height || _fuse_pos || _fuse_hor_vel || _fuse_vert_vel) {
			fuseVelPosHeight();
			_fuse_hor_vel = _fuse_vert_vel = _fuse_pos = _fuse_height = false;
		}

		// Update optical flow bias estimates
		calcOptFlowBias();

		// Fuse optical flow LOS rate observations into the main filter
		if (_fuse_flow) {
			fuseOptFlow();
			_last_known_posNE(0) = _state.pos(0);
			_last_known_posNE(1) = _state.pos(1);
			_fuse_flow = false;
		}
	}

	// the output observer always runs
	calculateOutputStates();

	// We don't have valid data to output until tilt and yaw alignment is complete
	if (_control_status.flags.tilt_align && _control_status.flags.yaw_align) {
		return true;

	} else {
		return false;
	}
}

bool Ekf::initialiseFilter(void)
{
	// Keep accumulating measurements until we have a minimum of 10 samples for the baro and magnetoemter

	// Sum the IMU delta angle measurements
	imuSample imu_init = _imu_buffer.get_newest();
	_delVel_sum += imu_init.delta_vel;

	// Sum the magnetometer measurements
	magSample mag_init = _mag_buffer.get_newest();

	if (mag_init.time_us != 0) {
		_mag_counter ++;
		_mag_sum += mag_init.mag;
	}

	if (_params.vdist_sensor_type == VDIST_SENSOR_RANGE) {
		rangeSample range_init = _range_buffer.get_newest();

		if (range_init.time_us != _time_last_hgt) {
			_hgt_counter ++;
			_hgt_sum += range_init.rng;
			_time_last_hgt = range_init.time_us;
		}

	} else if (_params.vdist_sensor_type == VDIST_SENSOR_BARO) {
		// initialize vertical position with newest baro measurement
		baroSample baro_init = _baro_buffer.get_newest();

		if (baro_init.time_us != _time_last_hgt) {
			_hgt_counter ++;
			_hgt_sum += baro_init.hgt;
			_time_last_hgt = baro_init.time_us;
		}

	} else {
		return false;
	}

	// check to see if we have enough measurements and return false if not
	if (_hgt_counter < 10 || _mag_counter < 10) {
		return false;

	} else {
		// Zero all of the states
		_state.ang_error.setZero();
		_state.vel.setZero();
		_state.pos.setZero();
		_state.gyro_bias.setZero();
		_state.gyro_scale(0) = _state.gyro_scale(1) = _state.gyro_scale(2) = 1.0f;
		_state.accel_z_bias = 0.0f;
		_state.mag_I.setZero();
		_state.mag_B.setZero();
		_state.wind_vel.setZero();

		// get initial roll and pitch estimate from delta velocity vector, assuming vehicle is static
		float pitch = 0.0f;
		float roll = 0.0f;

		if (_delVel_sum.norm() > 0.001f) {
			_delVel_sum.normalize();
			pitch = asinf(_delVel_sum(0));
			roll = atan2f(-_delVel_sum(1), -_delVel_sum(2));

		} else {
			return false;
		}

		// calculate initial tilt alignment
		matrix::Euler<float> euler_init(roll, pitch, 0.0f);
		_state.quat_nominal = Quaternion(euler_init);
		_output_new.quat_nominal = _state.quat_nominal;

		// initialise the filtered alignment error estimate to a larger starting value
		_tilt_err_length_filt = 1.0f;

		// calculate the averaged magnetometer reading
		Vector3f mag_init = _mag_sum * (1.0f / (float(_mag_counter)));

		// calculate the initial magnetic field and yaw alignment
		resetMagHeading(mag_init);

		// calculate the averaged height reading to calulate the height of the origin
		_hgt_at_alignment = _hgt_sum / (float)_hgt_counter;

		// if we are not using the baro height as the primary source, then calculate an offset relative to the origin
		// so it can be used as a backup
		if (_params.vdist_sensor_type != VDIST_SENSOR_BARO) {
			baroSample baro_newest = _baro_buffer.get_newest();
			_baro_hgt_offset = baro_newest.hgt - _hgt_at_alignment;
		} else {
			_baro_hgt_offset = 0.0f;
		}

		// set the velocity to the GPS measurement (by definition, the initial position and height is at the origin)
		resetVelocity();

		// initialise the state covariance matrix
		initialiseCovariance();

		// initialise the terrain estimator
		initHagl();

		return true;
	}
}

void Ekf::predictState()
{
	if (!_earth_rate_initialised) {
		if (_NED_origin_initialised) {
			calcEarthRateNED(_earth_rate_NED, _pos_ref.lat_rad);
			_earth_rate_initialised = true;
		}
	}

	// attitude error state prediction
	matrix::Dcm<float> R_to_earth(_state.quat_nominal);	// transformation matrix from body to world frame
	Vector3f corrected_delta_ang = _imu_sample_delayed.delta_ang - _R_prev * _earth_rate_NED *
				       _imu_sample_delayed.delta_ang_dt;
	Quaternion dq;	// delta quaternion since last update
	dq.from_axis_angle(corrected_delta_ang);
	_state.quat_nominal = dq * _state.quat_nominal;
	_state.quat_nominal.normalize();

	_R_prev = R_to_earth.transpose();

	Vector3f vel_last = _state.vel;

	// predict velocity states
	_state.vel += R_to_earth * _imu_sample_delayed.delta_vel;
	_state.vel(2) += 9.81f * _imu_sample_delayed.delta_vel_dt;

	// predict position states via trapezoidal integration of velocity
	_state.pos += (vel_last + _state.vel) * _imu_sample_delayed.delta_vel_dt * 0.5f;

	constrainStates();
}

bool Ekf::collect_imu(imuSample &imu)
{
	imu.delta_ang(0) = imu.delta_ang(0) * _state.gyro_scale(0);
	imu.delta_ang(1) = imu.delta_ang(1) * _state.gyro_scale(1);
	imu.delta_ang(2) = imu.delta_ang(2) * _state.gyro_scale(2);

	imu.delta_ang -= _state.gyro_bias * imu.delta_ang_dt / (_dt_imu_avg > 0 ? _dt_imu_avg : 0.01f);
	imu.delta_vel(2) -= _state.accel_z_bias * imu.delta_vel_dt / (_dt_imu_avg > 0 ? _dt_imu_avg : 0.01f);;

	_imu_sample_new.delta_ang	= imu.delta_ang;
	_imu_sample_new.delta_vel	= imu.delta_vel;
	_imu_sample_new.delta_ang_dt	= imu.delta_ang_dt;
	_imu_sample_new.delta_vel_dt	= imu.delta_vel_dt;
	_imu_sample_new.time_us	= imu.time_us;

	_imu_down_sampled.delta_ang_dt += imu.delta_ang_dt;
	_imu_down_sampled.delta_vel_dt += imu.delta_vel_dt;

	Quaternion delta_q;
	delta_q.rotate(imu.delta_ang);
	_q_down_sampled =  _q_down_sampled * delta_q;
	_q_down_sampled.normalize();

	matrix::Dcm<float> delta_R(delta_q.inversed());
	_imu_down_sampled.delta_vel = delta_R * _imu_down_sampled.delta_vel;
	_imu_down_sampled.delta_vel += imu.delta_vel;

	if ((_dt_imu_avg * _imu_ticks >= (float)(FILTER_UPDATE_PERRIOD_MS) / 1000) ||
	    _dt_imu_avg * _imu_ticks >= 0.02f) {

		imu.delta_ang     = _q_down_sampled.to_axis_angle();
		imu.delta_vel     = _imu_down_sampled.delta_vel;
		imu.delta_ang_dt  = _imu_down_sampled.delta_ang_dt;
		imu.delta_vel_dt  = _imu_down_sampled.delta_vel_dt;
		imu.time_us       = imu.time_us;

		_imu_down_sampled.delta_ang.setZero();
		_imu_down_sampled.delta_vel.setZero();
		_imu_down_sampled.delta_ang_dt = 0.0f;
		_imu_down_sampled.delta_vel_dt = 0.0f;
		_q_down_sampled(0) = 1.0f;
		_q_down_sampled(1) = _q_down_sampled(2) = _q_down_sampled(3) = 0.0f;
		return true;
	}

	return false;
}

void Ekf::calculateOutputStates()
{
	imuSample imu_new = _imu_sample_new;
	Vector3f delta_angle;

	// Note: We do no not need to consider any bias or scale correction here
	// since the base class has already corrected the imu sample
	delta_angle(0) = imu_new.delta_ang(0);
	delta_angle(1) = imu_new.delta_ang(1);
	delta_angle(2) = imu_new.delta_ang(2);

	Vector3f delta_vel = imu_new.delta_vel;

	delta_angle += _delta_angle_corr;
	Quaternion dq;
	dq.from_axis_angle(delta_angle);

	_output_new.time_us = imu_new.time_us;
	_output_new.quat_nominal = dq * _output_new.quat_nominal;
	_output_new.quat_nominal.normalize();

	matrix::Dcm<float> R_to_earth(_output_new.quat_nominal);

	Vector3f delta_vel_NED = R_to_earth * delta_vel + _delta_vel_corr;
	delta_vel_NED(2) += 9.81f * imu_new.delta_vel_dt;

	Vector3f vel_last = _output_new.vel;

	_output_new.vel += delta_vel_NED;

	_output_new.pos += (_output_new.vel + vel_last) * (imu_new.delta_vel_dt * 0.5f) + _vel_corr * imu_new.delta_vel_dt;

	if (_imu_updated) {
		_output_buffer.push(_output_new);
		_imu_updated = false;
	}

	_output_sample_delayed = _output_buffer.get_oldest();

	Quaternion quat_inv = _state.quat_nominal.inversed();
	Quaternion q_error =  _output_sample_delayed.quat_nominal * quat_inv;
	q_error.normalize();
	Vector3f delta_ang_error;

	float scalar;

	if (q_error(0) >= 0.0f) {
		scalar = -2.0f;

	} else {
		scalar = 2.0f;
	}

	delta_ang_error(0) = scalar * q_error(1);
	delta_ang_error(1) = scalar * q_error(2);
	delta_ang_error(2) = scalar * q_error(3);

	_delta_angle_corr = delta_ang_error * imu_new.delta_ang_dt;

	_delta_vel_corr = (_state.vel - _output_sample_delayed.vel) * imu_new.delta_vel_dt;

	_vel_corr = (_state.pos - _output_sample_delayed.pos);
}

void Ekf::fuseAirspeed()
{

}