Robust stability and stabilisation of 2D discrete state-delayed systems

被引：151
|
作者：
Paszke, W
Lam, J
Galkowski, K
Xu, SY
Lin, ZP
机构：
[1] Univ Zielona Gora, Inst Control & Computat Engn, PL-65246 Zielona Gora, Poland
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[3] Nanjing Univ Sci & Technol, Dept Automat, Nanjing 210094, Peoples R China
[4] Nanyang Technol Univ, Sch EEE, Singapore 639798, Singapore
来源：
SYSTEMS & CONTROL LETTERS | 2004年 / 51卷 / 3-4期
关键词：
discrete linear state-delayed 2D systems; linear matrix inequality; robust stability; stabilisation;
D O I：
10.1016/j.sysconle.2003.09.003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we first present sufficient stability and robust stability conditions for discrete linear state-delayed 2D systems in terms of linear matrix inequalities. All results are obtained with Fomasini-Marchesini delay model but appropriate transformation to the corresponding Roesser form is provided as well. Generalisation to the multiple state-delayed case is also given. Then the stabilisation and robust stabilisation using static state feedback are studied. Stabilising feedback gain matrices are constructed based on the solutions of certain linear matrix inequalities. An numerical example is used to illustrate the effectiveness of the approach. (C) 2003 Elsevier B.V. All rights reserved.
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页码：277 / 291
页数：15
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