D-Stable H8 Fault-Tolerant Control for Delta Operator Systems with Actuator Failure

Abstract

The H-infinity fault-tolerant control problem of delta operator formulated linear systems with circular pole constraints is considered. Based on the delta operator bounded real lemma, a necessary and sufficient condition of D-stable Hinfin control for delta operator systems with actuator failure is presented using the matrix inequality approach. The design of H-infinity fault-tolerant controller with pole assignment is transformed into solving a Riccati inequality. The proposed results can be regarded as extensions of existing results on Hinfin control and pole assignment of fault-tolerant control systems using delta operator. A numerical example is given to show the effectiveness of the proposed method.