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WIP: Manual attitude setpoint for large heading errors (#4564)
* mc pos control: in manual mode calculate attitude setpoint such that it reflects the users intuition of roll and pitch for any given heading error * added some comments on the new manual attitude setpoint generation * make calculation shorter
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@ -2002,8 +2002,40 @@ MulticopterPositionControl::task_main()
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math::Matrix<3, 3> R_sp;
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/* construct attitude setpoint rotation matrix */
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R_sp.from_euler(_att_sp.roll_body, _att_sp.pitch_body, _att_sp.yaw_body);
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// construct attitude setpoint rotation matrix. modify the setpoints for roll
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// and pitch such that they reflect the user's intention even if a yaw error
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// (yaw_sp - yaw) is present. In the presence of a yaw error constructing a rotation matrix
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// from the pure euler angle setpoints will lead to unexpected attitude behaviour from
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// the user's view as the euler angle sequence uses the yaw setpoint and not the current
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// heading of the vehicle.
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// calculate our current yaw error
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float yaw_error = _wrap_pi(_att_sp.yaw_body - _yaw);
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// compute the vector obtained by rotating a z unit vector by the rotation
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// given by the roll and pitch commands of the user
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math::Vector<3> zB = {0, 0, 1};
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math::Matrix<3,3> R_sp_roll_pitch;
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R_sp_roll_pitch.from_euler(_att_sp.roll_body, _att_sp.pitch_body, 0);
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math::Vector<3> z_roll_pitch_sp = R_sp_roll_pitch * zB;
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// transform the vector into a new frame which is rotated around the z axis
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// by the current yaw error. this vector defines the desired tilt when we look
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// into the direction of the desired heading
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math::Matrix<3,3> R_yaw_correction;
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R_yaw_correction.from_euler(0.0f, 0.0f, -yaw_error);
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z_roll_pitch_sp = R_yaw_correction * z_roll_pitch_sp;
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// use the formula z_roll_pitch_sp = R_tilt * [0;0;1]
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// to calculate the new desired roll and pitch angles
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// R_tilt can be written as a function of the new desired roll and pitch
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// angles. we get three equations and have to solve for 2 unknowns
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float pitch_new = asinf(z_roll_pitch_sp(0));
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float roll_new = -atan2f(z_roll_pitch_sp(1), z_roll_pitch_sp(2));
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R_sp.from_euler(roll_new, pitch_new, _att_sp.yaw_body);
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memcpy(&_att_sp.R_body[0], R_sp.data, sizeof(_att_sp.R_body));
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/* reset the acceleration set point for all non-attitude flight modes */
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