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.
关键词
执行器故障/容错控制/相对位置控制/航天器/零和微分博弈
Key words
actuator fault/fault-tolerant control/relative position control/spacecraft/zero-sum differential game