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Zbl 1056.93040
Chen, Wu-Hua; Guan, Zhi-Hong; Lu, Xiaomei
Delay-dependent output feedback guaranteed cost control for uncertain time-delay systems. (English)
[J] Automatica 40, No. 7, 1263-1268 (2004). ISSN 0005-1098

Summary: This paper considers the problem of output-feedback guaranteed cost controller design for uncertain time-delay systems. By representing the time-delay system in the descriptor form and using a recent result on bounding of cross products of vectors, we obtain new delay-dependent sufficient conditions for the existence of the guaranteed cost output-feedback controller in terms of matrix inequalities. A numerical algorithm is proposed to construct a full order output feedback controller achieving a suboptimal guaranteed cost such that the system can be stabilized for all admissible uncertainties. An example is presented which shows that the proposed method can produce a lower guaranteed cost than the delay-independent method.

MSC 2000:: *93C23 Systems governed by functional-differential equations
15A39 Linear inequalities

Keywords: Guaranteed cost control; Output feedback; Delay-dependent criteria; Time-delay systems; Matrix inequalities

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