A Novel Approach to Control Design for Linear Neutral Time-Delay Systems

Hongwei Xia, Pingping Zhao, Li Li, Aiguo Wu and Guangcheng Ma

Mathematical Problems in Engineering, 2013, vol. 2013, 1-9

Abstract:

This paper is concerned with the problem of control of linear neutral systems with time-varying delay. Firstly, by applying a novel Lyapunov-Krasovskii functional which is constructed with the idea of delay partitioning approach, appropriate free-weighting matrices, an improved delay-dependent bounded real lemma (BRL) for neutral systems is established. By using the obtained BRL, a delay-dependent sufficient condition for the existence of a state-feedback controller, which ensures asymptotic stability and a prescribed performance level of the corresponding closed-loop system, is formulated in terms of linear matrix inequalities. Some numerical examples are given to illustrate the effectiveness of the proposed design method.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:526017

DOI: 10.1155/2013/526017

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