Practical stabilization of integrator switched systems

In this paper, practical stabilization problems for integrator switched systems are studied. In such class of switched systems, no subsystem has an equilibrium. However, the system can still exhibit interesting behaviors around a given point under appropriate switching laws. Such behaviors are simil...

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Published in2003 American Control Conference; Denver, CO; USA; 4-6 June 2003 Vol. 4; pp. 2767 - 2772 vol.4
Main Authors Xuping Xu, Antsaklis, P.J.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2003
Subjects
Asymptotic stability
Chemical processes
Lyapunov method
Stability analysis
Sufficient conditions
Switched systems
Switches
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Summary:In this paper, practical stabilization problems for integrator switched systems are studied. In such class of switched systems, no subsystem has an equilibrium. However, the system can still exhibit interesting behaviors around a given point under appropriate switching laws. Such behaviors are similar to those of a conventional stable system near an equilibrium. We introduce some practical stability notions to define such behaviors. In particular, a necessary and sufficient condition for practical stabilizability of such systems is given. Moreover, for practically stabilizable systems, we develop a minimum dwell time switching law, which can easily be implemented. Finally, as an application, we apply the switching law to a batch process example.
Bibliography:SourceType-Conference Papers & Proceedings-1
ObjectType-Conference Paper-1
content type line 25
ISBN:9780780378964
0780378962
ISSN:0743-1619
2378-5861
DOI:10.1109/ACC.2003.1243741