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Reliable control for a class of uncertain singular systems with interval time-varying delay. (English) Zbl 1219.93105

Summary: This paper is concerned with the reliable controller design problem for a class of singular systems with interval time-varying delay and norm-bounded uncertainties. A more practical model of actuator failures than outages is considered. First, by constructing a novel Lyapunov-Krasovskii functional combined with Finsler’s Lemma, an improved delay-range-dependent stability criterion for the nominal unforced singular time-delay system is established in terms of linear matrix inequality. Then, based on this criterion, an LMI condition for the design of a reliable state feedback controller is presented such that, for all parameter uncertainties and actuator failures, the resultant closed-loop system is regular, impulse-free and stable. Numerical examples are proposed to illustrate the effectiveness of the proposed method.

MSC:

93D20 Asymptotic stability in control theory
93C15 Control/observation systems governed by ordinary differential equations
93B52 Feedback control
93C05 Linear systems in control theory
34H05 Control problems involving ordinary differential equations
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