Control allocation method based on MDD fixed-point iteration

For the control allocation problem in the field of aeronautics and astronautics, a control allocation method based on max direction derivative(MDD) fixed-point(FXP) iteration is proposed. MDD is defined as the unit vector which has the max derivative among all the directions of the unit vector at current iteration point. Along the MDD direction, the increment of next iteration point is estimated by using least square fitting of the increments of the former and current iteration point, which is taken as a update for the increment of current iteration along the MDD direction. The convergence of the method is also proved. Finally, the comparison of different methods is carried out. The simulation results show the effectiveness and the rapidity of the proposed method.