Novel bounded real lemma for discrete-time descriptor systems: Application to H∞ control design

被引：105
作者：
Chadli, Mohammed [1 ]
Darouach, Mohamed [2 ,3 ]
机构：
[1] Univ Picardie Jules Verne, UPJV MIS, EA 4290, F-80000 Amiens, France
[2] Nancy IIUT Longwy, UHP, CRAN CNRS UMR 7039, F-54400 Cosnes, France
[3] Nancy IIUT Longwy, UHP, CRAN CNRS, UMR 7039, F-54400 Romain, France
来源：
AUTOMATICA | 2012年 / 48卷 / 02期
关键词：
Descriptor systems; Linear systems; H-infinity control; Bounded real lemma; Strict LMI; STABILIZATION; STABILITY;
D O I：
10.1016/j.automatica.2011.10.003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper concerns the bounded real lemma for discrete-time descriptor systems. A new formulation of the bounded real lemma for these systems is given. It extends the recent results presented in Zhang, Xia, and Shi (2008) and gives necessary and sufficient conditions in strict LMI (linear matrix inequality) which is more suitable for the control design than those presented in Zhang, Xia, and Shi (2008). An application to the H-infinity control design is given. A numerical example is presented to show the applicability of our approach. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：449 / 453
页数：5
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