Non-Fragile Fault Tolerant Control of the Linear Discrete-Time Systems with Multi-Indices Constraints

For linear discrete-time systems with normbounded parameter uncertainties and actuator failures, a method of non-fragile fault tolerant control with multi-indices constraints is proposed. With the nonfragility of the controller taken into consideration, the consistency theory about circular pole index, steady variance index and H-infinity constraints is presented. The problem addressed is to design a controller such that the above three objectives are simultaneously achieved for all admissible parameter uncertainties and actuator failures, while the robustness of the controller is ensured. An illustrative example is given to demonstrate the validity of the proposed design approach.