State-Feedback Stabilization for Delayed Singular LPV Systems Based on Parameter-Dependent L-K Functional

This paper deals with the stabilization problem for a class of singular linear parameter-varying (LPV) systems with time delays. The system matrices are of the polytopic form with respect to scheduling parameters, while the delay is restricted to be constant. A parameter-dependent Lyapunov-Krasovskii functional is utilized, which yields delay-dependent conditions ensuring the robust admissibility of the considered singular LPV system. Based on the admissibility conditions, the design conditions for state-feedback gain-scheduled controllers are developed. The design conditions are presented in the form of parameter-dependent LMIs and finite strict LMIs, respectively. A numerical example is provided finally to show the effectiveness of the proposed design method.