Abstract: The nonlinear hysteresis loop characteristic of fast steering mirror (FSM) of the fine pointing system is described by additional uncertainty, and the creep behavior in driving process of actuator is regarded as time delay-dependent state. The platform vibration of satellite model and vibration attenuation method are analyzed. Simultaneously, the perturbation of controller parameters is considered, and the solution of non-fragile H_∞ controller is deduced by linear matrix inequality (LMI) when model perturbation and disturbance exist. The simulation on fine pointing system model proves that the controller design scheme can keep closed-loop quadratic stable and suppress the satellite disturbance efficiently in condition of finite perturbation and delay time.