Robust control based on LMI for satellite attitude control systems

Considering the actuator faults, the solution of this problem was obtained for an H-infinity state-feedback controller with circular disk pole constraints. Based on linear matrix inequality, the consistence on circular disk pole index and H-infinity index was analyzed, and sufficient conditions for the existence of robust H-infinity fault-tolerant controller were given. The simulation of applying in a satellite attitude control system with actuator faults show the validity of the proposed method. And the results shows that this method has better robustness for satellites attitude control actuator under the condition of performance degradation or fault state, which is capable of meeting the attitude control requirement.