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

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 subsyst...

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Bibliographic Details
Published in:European journal of control 2013-05, Vol.19 (3), p.206-213
Main Authors: Kuiava, Roman, Ramos, Rodrigo A., Pota, Hemanshu R., Alberto, Luis F.C.
Format: Article
Language:English
Subjects:
Continuous-time systems
Economic models
Equilibrium
Euclidean space
Linear matrix inequalities
Practical stability
Switched systems
Systems stability
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Summary: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.
ISSN:0947-3580
1435-5671
DOI:10.1016/j.ejcon.2012.11.001