On Dynamic Output Feedback Guaranteed Cost Control of Uncertain Discrete-Delay Systems: LMI Optimization Approach

J. H. Park
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J. H. Park: Yeungnam University

Journal of Optimization Theory and Applications, 2004, vol. 121, issue 1, No 8, 147-162

Abstract: Abstract In this paper, we consider a design problem of dynamic output feedback controller for guaranteed cost stabilization of discrete-delay systems with norm-bounded time-varying parameter uncertainties. A linear-quadratic cost function is considered as a performance measure for the closed-loop system. Based on the Lyapunov second method, several stability criteria for the existence of the controller are derived in terms of linear matrix inequalities (LMIs). The solutions of the LMIs can be obtained easily using existing efficient convex optimization techniques. A numerical example is given to illustrate the proposed method.

Keywords: Discrete-delay systems; dynamic controllers; guaranteed cost stabilization; Lyapunov method; linear matrix inequalities (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1023/B:JOTA.0000026135.99294.32

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