Dissipativity and feedback passivation for switched discrete-time nonlinear systems

被引：27

作者：

Li, Jiao ^{[1
,2
]}

Zhao, Jun ^{[1
]}

Chen, Chao ^{[1
]}

机构：

[1] Northeastern Univ, Coll Informat Sci & Engn, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China

[2] Dalian Nationalities Univ, Coll Sci, Dalian 116600, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2016年 / 87卷

基金：

中国国家自然科学基金;

关键词：

Switched systems; Switching law; Dissipativity; Multiple supply rates; Feedback passivation; l(2)-gain; DYNAMICAL-SYSTEMS; STABILITY ANALYSIS; LINEAR-SYSTEMS; PASSIVITY; STABILIZATION; PASSIFICATION; OUTPUT;

D O I：

10.1016/j.sysconle.2015.10.005

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 studies dissipativity for switched discrete-time nonlinear systems using multiple storage functions and multiple supply rates. A sufficient condition for dissipativity of the switched nonlinear system is given under some switching law. Then, the result is extended to find a condition under which a switched system is feedback equivalent to a passive switched system. Switched passivity condition and switched l(2)-gain inequalities are, respectively, given, which are generalizations of the classical ones. Furthermore, the assumption of zero dynamics having passivity is relaxed. Passivity is also shown to be preserved under feedback interconnection. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：47 / 55

页数：9

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