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Guaranteed Cost Controller Design Method for Singular Systems with Time Delays using LMI  

김종해 (선문대학교 전자정보통신공학부)
Publication Information
Journal of the Institute of Electronics Engineers of Korea SC / v.40, no.3, 2003 , pp. 99-108 More about this Journal
Abstract
This paper is concerned with the problem of designing a guaranteed cost state feedback controller for singular systems with time-varying delays. The sufficient condition for the existence of guaranteed cost controller, the controller design method, and the optimization problem to get the upper bound of guaranteed cost function are proposed by LMI(linear matrix inequality), singular value decomposition, Schur complements, and change of variables. Since the obtained sufficient conditions can be changed to LMI form, all solutions including controller gain and the upper bound of guaranteed cost function can be obtained simultaneously. Moreover, the proposed controller design method can be extended to the problem of robust guaranteed cost controller design method for singular systems with parameter uncertainties and time-varying delays. The validity of the proposed design algorithm is investigated through a numerical example.
Keywords
Guaranteed cost control; robust control; time delay; parameter uncertainty; LMI;
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Times Cited By KSCI : 1  (Citation Analysis)
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