Practical stability of switched systems without a common equilibria and governed by a time-dependent switching signal

被引：35

作者：

Kuiava, Roman ^{[1
]}

Ramos, Rodrigo A. ^{[2
]}

Pota, Hemanshu R. ^{[3
]}

Alberto, Luis F. C. ^{[2
]}

机构：

[1] Fed Univ Parana UFPR, Polytech Ctr, Dept Elect Engn, BR-81531980 Curitiba, PR, Brazil

[2] Univ Sao Paulo, Engn Sch Sao Carlos EESC, Dept Elect Engn, BR-13566590 Sao Carlos, SP, Brazil

[3] Univ New S Wales, Australian Def Force Acad UNSW ADFA, Sch Engn & Informat Technol, Canberra, ACT 2600, Australia

来源：

EUROPEAN JOURNAL OF CONTROL | 2013年 / 19卷 / 03期

关键词：

Switched systems; Continuous-time systems; Practical stability; Linear matrix inequalities; LINEAR-SYSTEMS; AFFINE; STABILIZABILITY; STABILIZATION; OBSERVABILITY; DESIGN;

D O I：

10.1016/j.ejcon.2012.11.001

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, the problem of practical stability of some classes of continuous-time switched systems is studied. The main results of this paper include some sufficient conditions concerning practical stability of continuous-time switched nonlinear systems without a common equilibria for all subsystems. In this class of switched systems, the equilibrium point varies discontinuously according to a time-dependent switching signal. So, stability with respect to a set, rather than a particular point, is discussed. Using this preliminary result, we present sufficient conditions in the form of linear matrix inequalities (LMIs) for practical stability of a particular class of switched systems without common equilibria: the switched affine systems. An illustrative example in the power system stability area is presented to show the validity of the results. (C) 2013 European Control Association. Published by Elsevier Ltd. All rights reserved.

引用

页码：206 / 213

页数：8

共 28 条

[1]

Basler Michael J., 2008, IEEE Transactions on Industry Applications, V44, P463, DOI 10.1109/TIA.2008.916726

[2] Observability and controllability of piecewise affine and hybrid systems [J].

Bemporad, A ;

Ferrari-Trecate, G ;

Morari, M .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (10) :1864-1876

[3]

Bolzern P, 2004, P AMER CONTR CONF, P3890

[4]

Boyd S., 1994, LINEAR MATRIX INEQUA

[5] Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].

Branicky, MS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482

[6] Stabilization of continuous-time switched nonlinear systems [J].

Colaneri, Patrizio ;

Geromel, Jose C. ;

Astolfi, Alessandro .

SYSTEMS & CONTROL LETTERS, 2008, 57 (01) :95-103

[7]

Corona D, 2007, P AMER CONTR CONF, P2410

[8] Switched affine systems control design with application to DC-DC converters [J].

Deaecto, G. S. ;

Geromel, J. C. ;

Garcia, F. S. ;

Pomilio, J. A. .

IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (07) :1201-1210

[9] Dynamic output feedback H∞ control of switched linear systems [J].

Deaecto, Grace S. ;

Geromel, Jose C. ;

Daafouz, Jamal .

AUTOMATICA, 2011, 47 (08) :1713-1720

[10] Perspectives and results on the stability and stabilizability of hybrid systems [J].

DeCarlo, RA ;

Branicky, MS ;

Pettersson, S ;

Lennartson, B .

PROCEEDINGS OF THE IEEE, 2000, 88 (07) :1069-1082

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