Novel Optimal Guaranteed Cost Control of Uncertain Discrete Systems with Both State and Input Delays

Z. Q. Zuo and Y. J. Wang ()
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Z. Q. Zuo: Tianjin University
Y. J. Wang: Tianjin University

Journal of Optimization Theory and Applications, 2008, vol. 139, issue 1, No 10, 159-170

Abstract: Abstract The problem of the guaranteed cost control (GCC) for a class of uncertain discrete-time systems with both state and input delays is considered in this paper. A novel LMI-based approach is proposed for the existence of a state feedback controller which guarantees not only the asymptotic stability of the closed-loop system, but also an adequate performance bound over all the possible parameter uncertainties. A convex optimization algorithm is given to design the state feedback controller which minimizes a bound on a quadratic performance index. The result exhibits some favorable features in computation as shown by a numerical example.

Keywords: GCC; LMI; Performance index; State and input delays (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-008-9411-5

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