Passivity of switched linear systems: Analysis and control design

被引：53

作者：

Geromel, Jose C. ^{[2
]}

Colaneri, Patrizio ^{[1
]}

Bolzern, Paolo ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Elettron & Informaz, I-20133 Milan, Italy

[2] Univ Estadual Campinas, Sch Elect & Comp Engn, BR-13083852 Campinas, SP, Brazil

来源：

SYSTEMS & CONTROL LETTERS | 2012年 / 61卷 / 04期

关键词：

Passivity; Switched systems; Dwell-time; LMI conditions; MEAN-SQUARE GAINS; LYAPUNOV FUNCTIONS; FEEDBACK CONTROL; STABILITY;

D O I：

10.1016/j.sysconle.2012.02.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A passive system with positive definite storage function is not only stable but is intrinsically robustly stable with respect to a wide class of feedback disturbances. For linear time invariant systems, passivity can be characterized either in time domain or in frequency domain from positive realness. This paper aims to generalize this concept to continuous-time switched linear systems. Analysis is performed by taking into account state dependent and arbitrary time dependent switching functions with a prescribed dwell time. A control design problem related to the determination of a switching strategy, based upon output measurements, that renders a switched linear system passive is also considered. The methods introduced in the paper can be effectively applied to the control of the duty cycle and passivation of switched circuits. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：549 / 554

页数：6

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