Fault-tolerant relative position control for spacecraft via zero-sum differential game
Qingyuan Meng, Bin Jiang, YaJie MA, Hao Ren · Scientia Sinica Technologica · 2023
An optimal fault-tolerant control scheme based on zero-sum differential game is proposed for relative position control for spacecraft with actuator bias fault and loss of effectiveness fault. Firstly, a feedback control law is designed by linear quadratic adjustment to make the system without faults asymptotically stable. Secondly, the fault-tolerant control problem of spacecraft relative position control system is transformed into zero-sum differential game problem. The optimal control law is obtained by combining the Hamilton-Jacobi-Issac (HJI) equation and minimax principle. Finally, by utilizing adaptive dynamic programming (ADP), an adaptive control signal is designed by estimating the optimal cost function in a critic network, which guarantees the stability of the system and the uniformly ultimately bounded property of the system states. Simulation results show the effectiveness of the proposed scheme.