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Parameter-dependent \(H_{\infty}\) control for time-varying delay polytopic systems. (English) Zbl 1205.93134

Summary: This paper addresses the robust stabilization and \(H_{\infty}\) control problem for a class of linear polytopic systems with continuously distributed delays. The control objective is to design a robust \(H_{\infty}\) 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 \(H_{\infty}\) control are established in terms of linear matrix inequalities.

MSC:

93D21 Adaptive or robust stabilization
93B36 \(H^\infty\)-control
93C41 Control/observation systems with incomplete information

Software:

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References:

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