Fault-Tolerant Control for Spacecraft under Actuator Fault via Zero-Sum Differential Game Theory
Qingyuan Meng, Yajie Ma, Bin Jiang, Zehui Mao, Hao Ren, Juan Wang · 2021 CAA Symposium on Fault Detection, Supervision, and Safety for Technical Processes (SAFEPROCESS) · 2021
In this paper, a fault-tolerant control(FTC) method using the zero-sum differential game theory is proposed, the object of which is a spacecraft system with actuator fault including bias fault. Firstly, the error dynamic of the spacecraft is transformed into the equivalent form of affine nonlinear system. Secondly, the tracking problem of the spacecraft system is considered as a zero-sum differential game with regard to the error system. The controller and the actual faults are viewed as the players of this game with different interests. Thirdly, best strategies for both sides are obtained by the HamiltonJacobi-Isaacs (HJI) equation and the minimax principle. Then on the basis of the adaptive dynamic programming (ADP), a critic module is utilized in a bid to Figure out the HJI equation. Ultimately, validity of the proposed scheme is proved by numerical simulation.