An improved characterization of bounded realness for singular delay systems and its applications | Zendy

Xu Shengyuan | Zendy; Lam James | Zendy; Zou Yun | Zendy

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An improved characterization of bounded realness for singular delay systems and its applications

Author(s) -

Xu Shengyuan,

Lam James,

Zou Yun

Publication year - 2008

Publication title -

international journal of robust and nonlinear control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.361

H-Index - 106

eISSN - 1099-1239

pISSN - 1049-8923

DOI - 10.1002/rnc.1215

Subject(s) - bounding overwatch , bounded function , control theory (sociology) , impulse (physics) , mathematics , upper and lower bounds , lemma (botany) , linear matrix inequality , computer science , mathematical optimization , mathematical analysis , control (management) , ecology , physics , poaceae , quantum mechanics , artificial intelligence , biology

This paper is concerned with establishing a delay‐dependent bounded real lemma (BRL) for singular systems with a time delay. Without resorting to any bounding techniques for some cross terms and model transformation, a new version of BRL for such systems is proposed, which guarantees a singular system to be regular, impulse free and stable while satisfying a prescribed H ∞ performance level for any delays smaller than a given upper bound. Based on this, an H ∞ state feedback controller is designed via a linear matrix inequality approach. The BRL, stability as well as H ∞ results developed in this paper are less conservative than existing ones in the literature, which is demonstrated by providing some numerical examples. Copyright © 2007 John Wiley & Sons, Ltd.

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