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On Guaranteed Cost Control of Uncertain Neutral Systems  

Park, Ju-Hyun (영남대학교 전기정보공학과)
Publication Information
The Transactions of the Korean Institute of Electrical Engineers D / v.52, no.3, 2003 , pp. 129-133 More about this Journal
Abstract
In this paper, we consider the robust guaranteed cost control problem for a class of uncertain neutral systems with given quadratic cost functions. The uncertainty is assumed to be norm-bounded and time-varying. The goal in this study is to design the memoryless state feedback controller such that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound lot all admissible uncertainty. Some criteria for the existence of such controllers are derived based on the matrix inequality approach combined with the Lyapunov second method. A parameterized characterization of the robust guaranteed cost controllers is given in terms of the feasible solutions to the certain matrix inequalities. A numerical example is given to illustrate the proposed method.
Keywords
Neutral systems; Guaranteed cost control; Lyapunov method; Matrix inequalities;
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