$H_{\infty}$ Fault-Tolerant Attitude Control for Flexible Spacecraft Systems Under Deception Attacks

For flexible spacecraft under disturbances and deception attacks which makes the aircraft unable to operate according to the predetermined attitude or trajectory, this paper addresses $H_{\infty}$ fault-tolerant control strategy. Firstly, the flexible spacecraft attitude control model and structure of fault-tolerant controller with deception attacks is constructed. Secondly, the control law derived by linear matrix inequality (LMI) is obtained by using the Lyapunov function and $H_{\infty}$ control theory. In the last of this paper, the validity of design method is verified.