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An LMI approach to output-feedback-guaranteed cost control for uncertain time-delay systems

✍ Scribed by Said H. Esfahani; Ian R. Petersen

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 150 KB
Volume: 10
Category: Article
ISSN: 1049-8923
DOI: 10.1002/(sici)1099-1239(200003)10:3<157::aid-rnc484>3.0.co;2-k

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✦ Synopsis

This paper considers the problem of output-feedback-guaranteed cost controller design for uncertain time-delay systems. The uncertainty in the system is assumed to be norm-bounded and time-varying. The time-delay is allowed to enter the state and the measurement equations. A linear quadratic cost function is considered as a performance measure for the closed-loop system. Necessary and su$cient conditions are provided for the construction of a guaranteed cost controller. These conditions are given in terms of the feasibility of LMIs which depend on a positive de"nite matrix and a scaling variable. A numerical algorithm is developed to search for a full order dynamic output-feedback controller which minimizes the cost bound.

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