Output Feedback Satisfactory Fault-Tolerant Control of Uncertain Linear Discrete-Time Systems

Based on multi-objective optimization theory, the problem of dynamic output feedback satisfactory fault-tolerant control with circular pole index, steady variance index and H-infinity index constraints for linear discrete-time systems in the presence of parametric uncertainties is investigated. Based on a more practical and general model of actuator continuous gain faults, the consistency of the performance indices mentioned earlier is discussed for fault-tolerant control. In addition, a satisfactory fault-tolerant controller with minimum control-cost is designed as a convex optimal problem. A simulation example shows the validity of the proposed method and the necessity of such a satisfactory fault-tolerant control.