H∞ control and quadratic stabilization of switched linear systems with linear fractional uncertainties via output feedback

被引：32

作者：

Long, Fei ^{[1
]}

Fei, Shumin ^{[2
]}

Fu, Zhumu ^{[2
]}

Zheng, Shiyou ^{[2
]}

Wei, Wei ^{[1
]}

机构：

[1] Guizhou Univ, Coll Sci, Prov Key Lab Playing Go Strategy & Control Syst, Guiyang 550025, Guizhou, Peoples R China

[2] Southeast Univ, Inst Automat, Nanjing 210096, Jiangsu, Peoples R China

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2008年 / 2卷 / 01期

基金：

美国国家科学基金会;

关键词：

Switched linear systems; H-infinity output-feedback control; Linear fractional uncertainty; LMI;

D O I：

10.1016/j.nahs.2006.11.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For switched linear systems with linear fractional time-varying uncertainties, the robust H-infinity control problem is investigated by using linear matrix inequality (LMI) in this paper. First, for a class of unforced switched linear systems, a sufficient condition is derived for stabilization with a prescribed disturbance attenuation level only by switching based on LMI. Then the robust H-infinity control synthesis via switched output feedback is studied for a switched linear system with linear fractional uncertainties. It is shown that a switched output feedback controller can be designed to stabilize asymptotically the uncertain switched linear systems with an H-infinity norm bound if a linear matrix inequality condition is feasible under the associated parameters that are selected in advance. (c) 2007 Published by Elsevier Ltd

引用

页码：18 / 27

页数：10

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