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Delay-dependent robust H∞ control for neutral time-delay systems

Published online by Cambridge University Press:  04 September 2014

MAN SUN  and
AIMIN YANG
MAN SUN
Affiliation:
Department of Control and Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, Hebei, China Email: sun7661@126.com
AIMIN YANG
Affiliation:
College of Science, Hebei United University, Tangshan 063009, China Email: aimin_heut@163.com
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Abstract

We derive a delay-dependent H∞ performance criterion with a decoupled structure for systems with neutral time delay. We then extend it to an H∞ controller synthesis for systems with polytopic uncertainty. All conditions are given in terms of linear matrix inequalities (LMIs). In some previous descriptor system methods, the products of the controller and Lyapunov matrices are completely separated for the performance analysis, but not for controller synthesis - the method developed in the current paper eliminates this weakness. We present a numerical example to illustrate the effectiveness of the solution.

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