Parameter-dependent H ∞ Control for Time-varying Delay Polytopic Systems

V. N. Phat (), Q. P. Ha and H. Trinh
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V. N. Phat: VAST
Q. P. Ha: University of Technology Sydney
H. Trinh: Deakin University

Journal of Optimization Theory and Applications, 2010, vol. 147, issue 1, No 4, 58-70

Abstract: Abstract This paper addresses the robust stabilization and H ∞ control problem for a class of linear polytopic systems with continuously distributed delays. The control objective is to design a robust H ∞ controller that satisfies some exponential stability constraints on the closed-loop poles. Using improved parameter-dependent Lyapunov Krasovskii functionals, new delay-dependent conditions for the robust H ∞ control are established in terms of linear matrix inequalities.

Keywords: H∞ control; Polytopic uncertain systems; Time-delay; Robust stabilization; Linear matrix inequality (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-010-9707-0

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