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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.
93D20Asymptotic stability of control systems
93C15Control systems governed by ODE
93B52Feedback control
93C05Linear control systems
34H05ODE in connection with control problems