Delay-dependent robust H∞ control for discrete-time uncertain singular systems with interval time-varying delays in state and control input

被引:34
作者
Kim, Jong Hae [1 ]
机构
[1] Sun Moon Univ, Dept Elect Engn, Asan 336708, Chungnam, South Korea
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2010年 / 347卷 / 09期
关键词
STABILITY-CRITERION; ADDITIONAL DYNAMICS; FEEDBACK CONTROL; STABILIZATION;
D O I
10.1016/j.jfranklin.2010.08.004
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The problem of the delay-dependent robust H-infinity controller design for discrete-time uncertain singular systems with interval time-varying delays in state and control input is investigated in this paper. A new delay-dependent bounded real lemma for singular systems with interval time-varying delays is derived and expressed in terms of LMI. Based on the result, the controller existence condition and robust H-infinity state feedback controller design method are proposed by linear matrix inequality (LMI) approach without any decompositions of system matrices and equivalent transformation. Also, the resulting criterion is extended to delayed discrete-time singular systems with polytopic uncertainties. Numerical examples are presented to demonstrate the effectiveness of the proposed method. (C) 2010 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:1704 / 1722
页数:19
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