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Delay-dependent Robust $H_{\infty}$ Filtering for Uncertain Descriptor Systems with Time-varying Delay  

Kim, Jong-Hae (선문대학교 전자공학과)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.58, no.9, 2009 , pp. 1796-1801 More about this Journal
Abstract
This paper is concerned with the problem of delay-dependent robust $H_{\infty}$ filtering for uncertain descriptor systems with time-varying delay. The considering uncertainty is convex compact set of polytoic type. The purpose is the design of a linear filter such that the resulting filtering error descriptor system is regular, impulse-free, and asymptotically stable with $H_{\infty}$ norm bound. By establishing a finite sum inequality based on quadratic terms, a new delay-dependent bounded real lemma (BRL) for delayed descriptor systems is derived. Based on the derived BRL, a robust $H_{\infty}$ filter is designed in terms of linear matrix inequaltity (LMI). Numerical examples are given to illustrate the effectiveness of the proposed method.
Keywords
Robust $H_{\infty}$ filtering; Descriptor systems; Delay-dependent approach; LMI;
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