H Fault-tolerant Control for Delta Operator Systems with Actuator Failure

The ∞ H 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 ∞ H control for delta operator systems with actuator failure is presented using the matrix inequality approach. The design of ∞ H 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 ∞ H 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.