H∞ static output feedback control for discrete-time switched linear systems with average dwell time

被引：76
|
作者：
Ding, D. -W. [1 ]
Yang, G. -H. [1 ,2 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110004, Liaoning, Peoples R China
[2] Northeastern Univ, Minist Educ, Key Lab Integrated Automat Proc Ind, Shenyang 110004, Liaoning, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2010年 / 4卷 / 03期
关键词：
SUFFICIENT LMI CONDITIONS; STABILIZATION; STABILITY; STABILIZABILITY; DESIGN;
D O I：
10.1049/iet-cta.2008.0481
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 study investigates the problem of H-infinity static output feedback (SOF) control for discrete-time switched linear systems with average dwell time. By the aid of multiple Lyapunov functions combined with Finsler's lemma, a switched SOF controller is designed such that the closed-loop switched system is exponentially stable and achieves a weighted L-2-gain. Sufficient conditions for SOF control are derived and formulated in terms of linear matrix inequalities (LMIs). The minimal average dwell time and the corresponding SOF controller are obtained from the LMI conditions for a given system decay degree. The proposed method is less conservative than the existing ones, which is validated by a numerical example.
引用
收藏
页码：381 / 390
页数：10
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