void stabilization_attitude_ref_update(void) {

  /* integrate reference attitude            */
#if STABILIZATION_ATTITUDE_REF_QUAT_INFINITESIMAL_STEP
  struct FloatQuat qdot;
  FLOAT_QUAT_DERIVATIVE(qdot, stab_att_ref_rate, stab_att_ref_quat);
  QUAT_SMUL(qdot, qdot, DT_UPDATE);
  QUAT_ADD(stab_att_ref_quat, qdot);
#else // use finite step (involves trig)
  struct FloatQuat delta_q;
  FLOAT_QUAT_DIFFERENTIAL(delta_q, stab_att_ref_rate, DT_UPDATE);
  /* compose new ref_quat by quaternion multiplication of delta rotation and current ref_quat */
  struct FloatQuat new_ref_quat;
  FLOAT_QUAT_COMP(new_ref_quat, delta_q, stab_att_ref_quat);
  QUAT_COPY(stab_att_ref_quat, new_ref_quat);
#endif
  FLOAT_QUAT_NORMALIZE(stab_att_ref_quat);

  /* integrate reference rotational speeds   */
  struct FloatRates delta_rate;
  RATES_SMUL(delta_rate, stab_att_ref_accel, DT_UPDATE);
  RATES_ADD(stab_att_ref_rate, delta_rate);

  /* compute reference angular accelerations */
  struct FloatQuat err;
  /* compute reference attitude error        */
  FLOAT_QUAT_INV_COMP(err, stab_att_sp_quat, stab_att_ref_quat);
  /* wrap it in the shortest direction       */
  FLOAT_QUAT_WRAP_SHORTEST(err);
  /* propagate the 2nd order linear model    */
  stab_att_ref_accel.p = -2.*stab_att_ref_model[ref_idx].zeta.p*stab_att_ref_model[ref_idx].omega.p*stab_att_ref_rate.p
    - stab_att_ref_model[ref_idx].omega.p*stab_att_ref_model[ref_idx].omega.p*err.qx;
  stab_att_ref_accel.q = -2.*stab_att_ref_model[ref_idx].zeta.q*stab_att_ref_model[ref_idx].omega.q*stab_att_ref_rate.q
    - stab_att_ref_model[ref_idx].omega.q*stab_att_ref_model[ref_idx].omega.q*err.qy;
  stab_att_ref_accel.r = -2.*stab_att_ref_model[ref_idx].zeta.r*stab_att_ref_model[ref_idx].omega.r*stab_att_ref_rate.r
    - stab_att_ref_model[ref_idx].omega.r*stab_att_ref_model[ref_idx].omega.r*err.qz;

  /*	saturate acceleration */
  const struct FloatRates MIN_ACCEL = { -REF_ACCEL_MAX_P, -REF_ACCEL_MAX_Q, -REF_ACCEL_MAX_R };
  const struct FloatRates MAX_ACCEL = {  REF_ACCEL_MAX_P,  REF_ACCEL_MAX_Q,  REF_ACCEL_MAX_R };
  RATES_BOUND_BOX(stab_att_ref_accel, MIN_ACCEL, MAX_ACCEL);

  /* saturate angular speed and trim accel accordingly */
  SATURATE_SPEED_TRIM_ACCEL();

  /* compute ref_euler */
  FLOAT_EULERS_OF_QUAT(stab_att_ref_euler, stab_att_ref_quat);
}
void stabilization_attitude_ref_update() {

  /* integrate reference attitude            */
  struct FloatQuat qdot;
  FLOAT_QUAT_DERIVATIVE(qdot, stab_att_ref_rate, stab_att_ref_quat);
  QUAT_SMUL(qdot, qdot, DT_UPDATE);
  QUAT_ADD(stab_att_ref_quat, qdot);
  FLOAT_QUAT_NORMALIZE(stab_att_ref_quat);

  /* integrate reference rotational speeds   */
  struct FloatRates delta_rate;
  RATES_SMUL(delta_rate, stab_att_ref_accel, DT_UPDATE);
  RATES_ADD(stab_att_ref_rate, delta_rate);

  /* compute reference angular accelerations */
  struct FloatQuat err;
  /* compute reference attitude error        */
  FLOAT_QUAT_INV_COMP(err, stab_att_sp_quat, stab_att_ref_quat);
  /* wrap it in the shortest direction       */
  FLOAT_QUAT_WRAP_SHORTEST(err);
  /* propagate the 2nd order linear model    */
  stab_att_ref_accel.p = -2.*stab_att_ref_model[ref_idx].zeta.p*stab_att_ref_model[ref_idx].omega.p*stab_att_ref_rate.p
    - stab_att_ref_model[ref_idx].omega.p*stab_att_ref_model[ref_idx].omega.p*err.qx;
  stab_att_ref_accel.q = -2.*stab_att_ref_model[ref_idx].zeta.q*stab_att_ref_model[ref_idx].omega.q*stab_att_ref_rate.q
    - stab_att_ref_model[ref_idx].omega.q*stab_att_ref_model[ref_idx].omega.q*err.qy;
  stab_att_ref_accel.r = -2.*stab_att_ref_model[ref_idx].zeta.r*stab_att_ref_model[ref_idx].omega.r*stab_att_ref_rate.r
    - stab_att_ref_model[ref_idx].omega.r*stab_att_ref_model[ref_idx].omega.r*err.qz;

  /*	saturate acceleration */
  const struct FloatRates MIN_ACCEL = { -REF_ACCEL_MAX_P, -REF_ACCEL_MAX_Q, -REF_ACCEL_MAX_R };
  const struct FloatRates MAX_ACCEL = {  REF_ACCEL_MAX_P,  REF_ACCEL_MAX_Q,  REF_ACCEL_MAX_R };
  RATES_BOUND_BOX(stab_att_ref_accel, MIN_ACCEL, MAX_ACCEL);

  /* compute ref_euler */
  FLOAT_EULERS_OF_QUAT(stab_att_ref_euler, stab_att_ref_quat);
}