Delay-dependent state feedback control with small gain conditions in finite frequency domains

Xiao-Ni Zhang and Guang-Hong Yang

International Journal of Systems Science, 2011, vol. 42, issue 3, 369-375

Abstract: This article studies the problem of control synthesis via state feedback for linear continuous-time multi-delay systems with small gain conditions in finite frequency domains. Based on the projection lemma, a new partial multiplier expansion method is proposed to design state feedback controllers. The resulting sufficient conditions are given in terms of solutions to a set of linear matrix inequalities. Finally, the effectiveness of the proposed method is illustrated via a numerical design example.

Date: 2011
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DOI: 10.1080/00207720903513376

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