Non-cooperative target proximity control based on Lyapunov-MPC method
A model predictive control method based on Lyapunov function(LMPC)is proposed to control the specific orientation of non-cooperative spacecraft with orbit and attitude maneuvers.Firstly,according to the orbital dynamics equation in the line-of-sight coordinate system,the relative orbital dynamics model of the spacecraft satisfying the requirements of line-of-sight direction is established,and the analytical expression of the expected orbit is derived.Secondly,the MPC method is used to de-sign the controller for online optimization control,and the contraction constraint formula is constructed to ensure the closed-loop stability by incorporating the display features of the nonlinear backstepping control based on the Lyapunov method.Then,the recursive feasibility and closed-loop stability of LMPC based control method are proved.Finally,the simulation results prove the effectiveness and ro-bustness of the proposed LMPC trajectory tracking method.
non-cooperative targetclose line of sightnonlinear dynamic systemcontrol Lyapunov functionmodel predictive control