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Remarks on the stabilizability of integrator switching systems
Author(s) -
MendozaTorres Angelica,
Cervantes Ilse
Publication year - 2012
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.2865
Subject(s) - integrator , control theory (sociology) , simple (philosophy) , stability (learning theory) , class (philosophy) , sequence (biology) , linear system , computer science , feature (linguistics) , mathematics , control (management) , artificial intelligence , telecommunications , mathematical analysis , philosophy , linguistics , bandwidth (computing) , epistemology , machine learning , biology , genetics
SUMMARY 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.