Remarks on the stabilizability of integrator switching systems

Angelica Mendoza-Torres, Ilse Cervantes

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this work, a class of switching systems known as integrator is studied. Such systems have the feature of being very simple and allow us to gain insight on the effect that the switching sequence has on system stability. Three problems are analyzed. First, the practical stabilizability problem under system uncertainty is studied. Confinement regions are explicitly computed, and switching sequences based on the nominal behavior of the systems are derived. Second, the practical stabilizability problem using output feedback is solved; in this case, sufficient conditions are proposed. Finally, by joining both results, sufficient conditions for practical stabilizability of uncertain systems under output feedback are given. The results are illustrated with examples and some extensions for uncertain linear system and event-based switching are given. Copyright © 2012 John Wiley & Sons, Ltd.
Original languageAmerican English
Pages (from-to)1972-1989
Number of pages18
JournalInternational Journal of Robust and Nonlinear Control
DOIs
StatePublished - 1 Jan 2013
Externally publishedYes

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Switching systems
Feedback
Uncertain systems
System stability
Joining
Linear systems

Cite this

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title = "Remarks on the stabilizability of integrator switching systems",
abstract = "In this work, a class of switching systems known as integrator is studied. Such systems have the feature of being very simple and allow us to gain insight on the effect that the switching sequence has on system stability. Three problems are analyzed. First, the practical stabilizability problem under system uncertainty is studied. Confinement regions are explicitly computed, and switching sequences based on the nominal behavior of the systems are derived. Second, the practical stabilizability problem using output feedback is solved; in this case, sufficient conditions are proposed. Finally, by joining both results, sufficient conditions for practical stabilizability of uncertain systems under output feedback are given. The results are illustrated with examples and some extensions for uncertain linear system and event-based switching are given. Copyright {\circledC} 2012 John Wiley & Sons, Ltd.",
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Remarks on the stabilizability of integrator switching systems. / Mendoza-Torres, Angelica; Cervantes, Ilse.

In: International Journal of Robust and Nonlinear Control, 01.01.2013, p. 1972-1989.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Mendoza-Torres, Angelica

AU - Cervantes, Ilse

PY - 2013/1/1

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N2 - In this work, a class of switching systems known as integrator is studied. Such systems have the feature of being very simple and allow us to gain insight on the effect that the switching sequence has on system stability. Three problems are analyzed. First, the practical stabilizability problem under system uncertainty is studied. Confinement regions are explicitly computed, and switching sequences based on the nominal behavior of the systems are derived. Second, the practical stabilizability problem using output feedback is solved; in this case, sufficient conditions are proposed. Finally, by joining both results, sufficient conditions for practical stabilizability of uncertain systems under output feedback are given. The results are illustrated with examples and some extensions for uncertain linear system and event-based switching are given. Copyright © 2012 John Wiley & Sons, Ltd.

AB - In this work, a class of switching systems known as integrator is studied. Such systems have the feature of being very simple and allow us to gain insight on the effect that the switching sequence has on system stability. Three problems are analyzed. First, the practical stabilizability problem under system uncertainty is studied. Confinement regions are explicitly computed, and switching sequences based on the nominal behavior of the systems are derived. Second, the practical stabilizability problem using output feedback is solved; in this case, sufficient conditions are proposed. Finally, by joining both results, sufficient conditions for practical stabilizability of uncertain systems under output feedback are given. The results are illustrated with examples and some extensions for uncertain linear system and event-based switching are given. Copyright © 2012 John Wiley & Sons, Ltd.

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