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Zbl 1219.93105
Lin, Jinxing; Fei, Shumin
Reliable control for a class of uncertain singular systems with interval time-varying delay. (English)
[J] Asian J. Control 13, No. 4, 542-552 (2011). ISSN 1561-8625; ISSN 1934-6093/e

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 2000:: *93D20 Asymptotic stability of control systems
93C15 Control systems governed by ODE
93B52 Feedback control
93C05 Linear control systems
34H05 ODE in connection with control problems

Keywords: singular time-delay systems; delay-range-dependent; reliable control; actuator failure; norm-bounded uncertainty

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