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Delay-dependent nonfragile guaranteed cost control for nonlinear time-delay systems

✍ Scribed by Nan Xie; Gong-You Tang

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 144 KB
Volume: 64
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2005.08.005

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✦ Synopsis

This paper concerns the nonfragile guaranteed cost control problem for a class of nonlinear dynamic systems with multiple time delays and controller gain perturbations. Guaranteed cost control law is designed under two classes of perturbations, namely, additive form and multiplicative form. The problem is to design a memoryless state feedback control law such that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainties. Based on the linear matrix inequality (LMI) approach, some delay-dependent conditions for the existence of such controller are derived. A numerical example is given to illustrate the proposed method.

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