This paper did research on fault-tolerant control of satellite control system. Based on general discussion over all available fault-tolerant control methods, we chose linear matrix inequation (LMI) to do research on robust fault-tolerant control. The result could apply to the control problem of three-axis stabilized directional satellite control system. Also, we use our result on fault diagnosis of different types of faults on sensor and execution system to prove the efficiency of our method. The research mainly consists. Apply above method on the controller design of satellite position control system. We designed controller separately for the fault condition of execution system and sensitive device, and did mathematical simulation over the algorithm. We compared our method with the traditional PID control method. The results shows that when the execution system and sensitive device under fault condition, robust fault-tolerant control makes pointing precision and stability precision of satellite position control meet the requirements before fault condition occurs.
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