Robust H∞ reliable control for uncertain switched systems with circular disk pole constraints

This paper addresses the issue of optimal robust H∞ reliable control with circular disk pole constraints for switched systems with actuator faults and arbitrary switching rules. The design method of the state feedback controller is proposed, which guarantees that the robust H∞ performance is minimum and the closed poles are located in a specified circular disk. The corresponding parameters of the controller are obtained by using the linear matrix inequalities (LMIs) optimization. Finally, a simulation example is provided to validate the effectiveness of the proposed approach.