✦ LIBER ✦

OUTPUT FEEDBACK GUARANTEED COST CONTROL OF UNCERTAIN SYSTEMS ON AN INFINITE TIME INTERVAL

✍ Scribed by Andrey V. Savkin; Ian R. Petersen

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 312 KB
Volume: 7
Category: Article
ISSN: 1049-8923
DOI: 10.1002/(sici)1099-1239(199701)7:1<43::aid-rnc204>3.0.co;2-i

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✦ Synopsis

This paper considers the problem of optimal guaranteed cost control of an uncertain system via output feedback. The uncertain system under consideration contains an uncertainty block subject to an integral quadratic constraint. The cost function considered is a quadratic cost function defined over an infinite time interval. The main result of the paper gives a necessary and sufficient condition for the existence of a guaranteed cost controller guaranteeing a specified level of performance. This condition is given in terms of the existence of suitable solutions to an algebraic Riccati equation and a Riccati differential equation. The resulting guaranteed cost controller is in general time-varying.

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