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Robust \(H_\infty\) reliable control for uncertain switched systems with circular disk pole constraints. (English) Zbl 1281.93039

Summary: This paper addresses the issue of optimal robust \(H_\infty\) 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 \(H_\infty\) performance is minimal 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.

MSC:

93B36 \(H^\infty\)-control
93B25 Algebraic methods
93B52 Feedback control
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
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