On H∞ control for linear systems with interval time-varying delay

被引:385
作者
Jiang, XF [1 ]
Han, QL [1 ]
机构
[1] Univ Cent Queensland, Fac Informat & Commun, Rockhampton, Qld 4702, Australia
关键词
H-infinity control; stability; bounded real lemma (BRL); interval time-varying delay; linear matrix inequality;
D O I
10.1016/j.automatica.2005.06.012
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 [计算机科学与技术];
摘要
This paper deals with the problem of delay-dependent robust H-infinity control for linear time-delay systems with norm-bounded, and possibly time-varying, uncertainty. The time-delay is assumed to be a time-varying continuous function belonging to a given interval, which means that the lower and upper bounds for the time-varying delay are available, and no restriction on the derivative of the time-varying delay is needed, which allows the time-delay to be a fast time-varying function. Based on an integral inequality, which is introduced in this paper, and Lyapunov-Krasovskii functional approach, a delay-dependent bounded real lemma (BRL) is first established without using model transformation and bounding techniques on the related cross product terms. Then employing the obtained BRL, a delay-dependent condition for the existence of a state feedback controller, which ensures asymptotic stability and a prescribed Hoc performance level of the closed-loop systems for all admissible uncertainties, is proposed in terms of a linear matrix inequality (LMI). A numerical example is also given to illustrate the effectiveness of the proposed method. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2099 / 2106
页数:8
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