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Delay-dependent Robust Dissipative Control for Singular LPV Systems with Multiple Input Delays

Xin Wang, Xian Zhang*, and Xiaona Yang
International Journal of Control, Automation, and Systems, vol. 17, no. 2, pp.327-335, 2019

Abstract : "This paper addresses the robust dissipative control problem for the singular linear parameter-varying (LPV) systems with multiple input time-delays. First, by constructing the parameter-dependent Lyapunov functional, a delay-dependent robust dissipativity criterion for singular LPV systems with multiple state time-delays is proposed. Second, on the basis of linear matrix inequalities (LMIs) technique, a novel delay-dependent robust dissipativity-based controller for the singular LPV delay systems is designed. Furthermore, it is proved that the resultant closed-loop system via state feedback controller is admissible and strictly robustly (Q;S;R)-dissipative. Finally, the effectiveness of the proposed method is demonstrated by three numerical examples."

Keyword : Linear matrix inequalities, multiple input time-delays, robust dissipative control, singular LPV systems.

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