Exemplo n.º 1
0
math::Vector2f ECL_L1_Pos_Controller::get_local_planar_vector(const math::Vector2f &origin, const math::Vector2f &target) const
{
    /* this is an approximation for small angles, proposed by [2] */

    math::Vector2f out;

    out.setX(math::radians((target.getX() - origin.getX())));
    out.setY(math::radians((target.getY() - origin.getY())*cosf(math::radians(origin.getX()))));

    return out * static_cast<float>(CONSTANTS_RADIUS_OF_EARTH);
}
Exemplo n.º 2
0
void ECL_L1_Pos_Controller::navigate_waypoints(const math::Vector2f &vector_A, const math::Vector2f &vector_B, const math::Vector2f &vector_curr_position,
        const math::Vector2f &ground_speed_vector)
{

    /* this follows the logic presented in [1] */

    float eta;
    float xtrack_vel;
    float ltrack_vel;

    /* get the direction between the last (visited) and next waypoint */
    _target_bearing = get_bearing_to_next_waypoint(vector_curr_position.getX(), vector_curr_position.getY(), vector_B.getX(), vector_B.getY());

    /* enforce a minimum ground speed of 0.1 m/s to avoid singularities */
    float ground_speed = math::max(ground_speed_vector.length(), 0.1f);

    /* calculate the L1 length required for the desired period */
    _L1_distance = _L1_ratio * ground_speed;

    /* calculate vector from A to B */
    math::Vector2f vector_AB = get_local_planar_vector(vector_A, vector_B);

    /*
     * check if waypoints are on top of each other. If yes,
     * skip A and directly continue to B
     */
    if (vector_AB.length() < 1.0e-6f) {
        vector_AB = get_local_planar_vector(vector_curr_position, vector_B);
    }

    vector_AB.normalize();

    /* calculate the vector from waypoint A to the aircraft */
    math::Vector2f vector_A_to_airplane = get_local_planar_vector(vector_A, vector_curr_position);

    /* calculate crosstrack error (output only) */
    _crosstrack_error = vector_AB % vector_A_to_airplane;

    /*
     * If the current position is in a +-135 degree angle behind waypoint A
     * and further away from A than the L1 distance, then A becomes the L1 point.
     * If the aircraft is already between A and B normal L1 logic is applied.
     */
    float distance_A_to_airplane = vector_A_to_airplane.length();
    float alongTrackDist = vector_A_to_airplane * vector_AB;

    /* estimate airplane position WRT to B */
    math::Vector2f vector_B_to_airplane_unit = get_local_planar_vector(vector_B, vector_curr_position).normalized();
    float bearing_wp_b = atan2f(-vector_B_to_airplane_unit.getY() , -vector_B_to_airplane_unit.getX());

    /* extension from [2], fly directly to A */
    if (distance_A_to_airplane > _L1_distance && alongTrackDist / math::max(distance_A_to_airplane , 1.0f) < -0.7071f) {

        /* calculate eta to fly to waypoint A */

        /* unit vector from waypoint A to current position */
        math::Vector2f vector_A_to_airplane_unit = vector_A_to_airplane.normalized();
        /* velocity across / orthogonal to line */
        xtrack_vel = ground_speed_vector % (-vector_A_to_airplane_unit);
        /* velocity along line */
        ltrack_vel = ground_speed_vector * (-vector_A_to_airplane_unit);
        eta = atan2f(xtrack_vel, ltrack_vel);
        /* bearing from current position to L1 point */
        _nav_bearing = atan2f(-vector_A_to_airplane_unit.getY() , -vector_A_to_airplane_unit.getX());

// XXX this can be useful as last-resort guard, but is currently not needed
#if 0
    } else if (absf(bearing_wp_b) > math::radians(80.0f)) {
        /* extension, fly back to waypoint */

        /* calculate eta to fly to waypoint B */

        /* velocity across / orthogonal to line */
        xtrack_vel = ground_speed_vector % (-vector_B_to_airplane_unit);
        /* velocity along line */
        ltrack_vel = ground_speed_vector * (-vector_B_to_airplane_unit);
        eta = atan2f(xtrack_vel, ltrack_vel);
        /* bearing from current position to L1 point */
        _nav_bearing = bearing_wp_b;
#endif
    } else {

        /* calculate eta to fly along the line between A and B */

        /* velocity across / orthogonal to line */
        xtrack_vel = ground_speed_vector % vector_AB;
        /* velocity along line */
        ltrack_vel = ground_speed_vector * vector_AB;
        /* calculate eta2 (angle of velocity vector relative to line) */
        float eta2 = atan2f(xtrack_vel, ltrack_vel);
        /* calculate eta1 (angle to L1 point) */
        float xtrackErr = vector_A_to_airplane % vector_AB;
        float sine_eta1 = xtrackErr / math::max(_L1_distance , 0.1f);
        /* limit output to 45 degrees */
        sine_eta1 = math::constrain(sine_eta1, -M_PI_F / 4.0f, +M_PI_F / 4.0f);
        float eta1 = asinf(sine_eta1);
        eta = eta1 + eta2;
        /* bearing from current position to L1 point */
        _nav_bearing = atan2f(vector_AB.getY(), vector_AB.getX()) + eta1;

    }

    /* limit angle to +-90 degrees */
    eta = math::constrain(eta, (-M_PI_F) / 2.0f, +M_PI_F / 2.0f);
    _lateral_accel = _K_L1 * ground_speed * ground_speed / _L1_distance * sinf(eta);

    /* flying to waypoints, not circling them */
    _circle_mode = false;

    /* the bearing angle, in NED frame */
    _bearing_error = eta;
}
Exemplo n.º 3
0
void ECL_L1_Pos_Controller::navigate_loiter(const math::Vector2f &vector_A, const math::Vector2f &vector_curr_position, float radius, int8_t loiter_direction,
        const math::Vector2f &ground_speed_vector)
{
    /* the complete guidance logic in this section was proposed by [2] */

    /* calculate the gains for the PD loop (circle tracking) */
    float omega = (2.0f * M_PI_F / _L1_period);
    float K_crosstrack = omega * omega;
    float K_velocity = 2.0f * _L1_damping * omega;

    /* update bearing to next waypoint */
    _target_bearing = get_bearing_to_next_waypoint(vector_curr_position.getX(), vector_curr_position.getY(), vector_A.getX(), vector_A.getY());

    /* ground speed, enforce minimum of 0.1 m/s to avoid singularities */
    float ground_speed = math::max(ground_speed_vector.length() , 0.1f);

    /* calculate the L1 length required for the desired period */
    _L1_distance = _L1_ratio * ground_speed;

    /* calculate the vector from waypoint A to current position */
    math::Vector2f vector_A_to_airplane = get_local_planar_vector(vector_A, vector_curr_position);

    /* store the normalized vector from waypoint A to current position */
    math::Vector2f vector_A_to_airplane_unit = (vector_A_to_airplane).normalized();

    /* calculate eta angle towards the loiter center */

    /* velocity across / orthogonal to line from waypoint to current position */
    float xtrack_vel_center = vector_A_to_airplane_unit % ground_speed_vector;
    /* velocity along line from waypoint to current position */
    float ltrack_vel_center = - (ground_speed_vector * vector_A_to_airplane_unit);
    float eta = atan2f(xtrack_vel_center, ltrack_vel_center);
    /* limit eta to 90 degrees */
    eta = math::constrain(eta, -M_PI_F / 2.0f, +M_PI_F / 2.0f);

    /* calculate the lateral acceleration to capture the center point */
    float lateral_accel_sp_center = _K_L1 * ground_speed * ground_speed / _L1_distance * sinf(eta);

    /* for PD control: Calculate radial position and velocity errors */

    /* radial velocity error */
    float xtrack_vel_circle = -ltrack_vel_center;
    /* radial distance from the loiter circle (not center) */
    float xtrack_err_circle = vector_A_to_airplane.length() - radius;

    /* cross track error for feedback */
    _crosstrack_error = xtrack_err_circle;

    /* calculate PD update to circle waypoint */
    float lateral_accel_sp_circle_pd = (xtrack_err_circle * K_crosstrack + xtrack_vel_circle * K_velocity);

    /* calculate velocity on circle / along tangent */
    float tangent_vel = xtrack_vel_center * loiter_direction;

    /* prevent PD output from turning the wrong way */
    if (tangent_vel < 0.0f) {
        lateral_accel_sp_circle_pd = math::max(lateral_accel_sp_circle_pd , 0.0f);
    }

    /* calculate centripetal acceleration setpoint */
    float lateral_accel_sp_circle_centripetal = tangent_vel * tangent_vel / math::max((0.5f * radius) , (radius + xtrack_err_circle));

    /* add PD control on circle and centripetal acceleration for total circle command */
    float lateral_accel_sp_circle = loiter_direction * (lateral_accel_sp_circle_pd + lateral_accel_sp_circle_centripetal);

    /*
     * Switch between circle (loiter) and capture (towards waypoint center) mode when
     * the commands switch over. Only fly towards waypoint if outside the circle.
     */

    // XXX check switch over
    if ((lateral_accel_sp_center < lateral_accel_sp_circle && loiter_direction > 0 && xtrack_err_circle > 0.0f) |
            (lateral_accel_sp_center > lateral_accel_sp_circle && loiter_direction < 0 && xtrack_err_circle > 0.0f)) {
        _lateral_accel = lateral_accel_sp_center;
        _circle_mode = false;
        /* angle between requested and current velocity vector */
        _bearing_error = eta;
        /* bearing from current position to L1 point */
        _nav_bearing = atan2f(-vector_A_to_airplane_unit.getY() , -vector_A_to_airplane_unit.getX());

    } else {
        _lateral_accel = lateral_accel_sp_circle;
        _circle_mode = true;
        _bearing_error = 0.0f;
        /* bearing from current position to L1 point */
        _nav_bearing = atan2f(-vector_A_to_airplane_unit.getY() , -vector_A_to_airplane_unit.getX());
    }
}
Exemplo n.º 4
0
void ECL_L1_Pos_Controller::navigate_waypoints(const math::Vector2f &vector_A, const math::Vector2f &vector_B, const math::Vector2f &vector_curr_position,
				       const math::Vector2f &ground_speed_vector)
{

	/* this follows the logic presented in [1] */

	float eta;
	float xtrack_vel;
	float ltrack_vel;

	/* get the direction between the last (visited) and next waypoint */
	_target_bearing = get_bearing_to_next_waypoint(vector_curr_position.getX(), vector_curr_position.getY(), vector_B.getX(), vector_B.getY());

	/* enforce a minimum ground speed of 0.1 m/s to avoid singularities */
	float ground_speed = math::max(ground_speed_vector.length(), 0.1f);

	/* calculate the L1 length required for the desired period */
	_L1_distance = _L1_ratio * ground_speed;

	/* calculate vector from A to B */
	math::Vector2f vector_AB = get_local_planar_vector(vector_A, vector_B);

	/*
	 * check if waypoints are on top of each other. If yes,
	 * skip A and directly continue to B
	 */
	if (vector_AB.length() < 1.0e-6f) {
		vector_AB = get_local_planar_vector(vector_curr_position, vector_B);
	}

	vector_AB.normalize();

	/* calculate the vector from waypoint A to the aircraft */
	math::Vector2f vector_A_to_airplane = get_local_planar_vector(vector_A, vector_curr_position);

	/* calculate crosstrack error (output only) */
	_crosstrack_error = vector_AB % vector_A_to_airplane;

	/*
	 * If the current position is in a +-135 degree angle behind waypoint A
	 * and further away from A than the L1 distance, then A becomes the L1 point.
	 * If the aircraft is already between A and B normal L1 logic is applied.
	 */
	float distance_A_to_airplane = vector_A_to_airplane.length();
	float alongTrackDist = vector_A_to_airplane * vector_AB;

	/* estimate airplane position WRT to B */
	math::Vector2f vector_B_to_P_unit = get_local_planar_vector(vector_B, vector_curr_position).normalized();
	
	/* calculate angle of airplane position vector relative to line) */

	// XXX this could probably also be based solely on the dot product
	float AB_to_BP_bearing = atan2f(vector_B_to_P_unit % vector_AB, vector_B_to_P_unit * vector_AB);

	/* extension from [2], fly directly to A */
	if (distance_A_to_airplane > _L1_distance && alongTrackDist / math::max(distance_A_to_airplane , 1.0f) < -0.7071f) {

		/* calculate eta to fly to waypoint A */

		/* unit vector from waypoint A to current position */
		math::Vector2f vector_A_to_airplane_unit = vector_A_to_airplane.normalized();
		/* velocity across / orthogonal to line */
		xtrack_vel = ground_speed_vector % (-vector_A_to_airplane_unit);
		/* velocity along line */
		ltrack_vel = ground_speed_vector * (-vector_A_to_airplane_unit);
		eta = atan2f(xtrack_vel, ltrack_vel);
		/* bearing from current position to L1 point */
		_nav_bearing = atan2f(-vector_A_to_airplane_unit.getY() , -vector_A_to_airplane_unit.getX());

	/*
	 * If the AB vector and the vector from B to airplane point in the same
	 * direction, we have missed the waypoint. At +- 90 degrees we are just passing it.
	 */
	} else if (fabsf(AB_to_BP_bearing) < math::radians(100.0f)) {
		/*
		 * Extension, fly back to waypoint.
		 * 
		 * This corner case is possible if the system was following
		 * the AB line from waypoint A to waypoint B, then is
		 * switched to manual mode (or otherwise misses the waypoint)
		 * and behind the waypoint continues to follow the AB line.
		 */

		/* calculate eta to fly to waypoint B */
		
		/* velocity across / orthogonal to line */
		xtrack_vel = ground_speed_vector % (-vector_B_to_P_unit);
		/* velocity along line */
		ltrack_vel = ground_speed_vector * (-vector_B_to_P_unit);
		eta = atan2f(xtrack_vel, ltrack_vel);
		/* bearing from current position to L1 point */
		_nav_bearing = atan2f(-vector_B_to_P_unit.getY() , -vector_B_to_P_unit.getX());

	} else {

		/* calculate eta to fly along the line between A and B */

		/* velocity across / orthogonal to line */
		xtrack_vel = ground_speed_vector % vector_AB;
		/* velocity along line */
		ltrack_vel = ground_speed_vector * vector_AB;
		/* calculate eta2 (angle of velocity vector relative to line) */
		float eta2 = atan2f(xtrack_vel, ltrack_vel);
		/* calculate eta1 (angle to L1 point) */
		float xtrackErr = vector_A_to_airplane % vector_AB;
		float sine_eta1 = xtrackErr / math::max(_L1_distance , 0.1f);
		/* limit output to 45 degrees */
		sine_eta1 = math::constrain(sine_eta1, -0.7071f, 0.7071f); //sin(pi/4) = 0.7071
		float eta1 = asinf(sine_eta1);
		eta = eta1 + eta2;
		/* bearing from current position to L1 point */
		_nav_bearing = atan2f(vector_AB.getY(), vector_AB.getX()) + eta1;

	}

	/* limit angle to +-90 degrees */
	eta = math::constrain(eta, (-M_PI_F) / 2.0f, +M_PI_F / 2.0f);
	_lateral_accel = _K_L1 * ground_speed * ground_speed / _L1_distance * sinf(eta);

	/* flying to waypoints, not circling them */
	_circle_mode = false;

	/* the bearing angle, in NED frame */
	_bearing_error = eta;
}