Fault-tolerant control of linear uncertain systems using H _∞ robust predictive control ^* * This project was supported by the "973" National Safety Importance Basal Research (5131201) and "863" National Defense High Technology Research and Development plan of China (2002AA715021).

The robust fault-tolerant control problem of linear uncertain systems is studied. It is shown that a solution for this problem can be obtained from a H _∞ robust predictive controller (RMPC) by the method of linear matrix inequality (LMI). This approach has the advantages of both H _∞ control and MPC: the robustness and ability to handle constraints explicitly. The robust closed-loop stability of the linear uncertain system with input and output constraints is proven under an actuator and sensor faults condition. Finally, satisfactory results of simulation experiments verify the validity of this algorithm.