Stabilizability and practical stabilizability of continuous-time switched systems: A unified view

Ping Xu, Guisheng Zhai, Shouling He

Research output: Chapter in Book/Report/Conference proceedingConference contribution

20 Citations (Scopus)

Abstract

There has been increasing interest in the stability analysis and design problems of switched systems during the past two decades. In such problems, it is usually assumed that all subsystems have a common equilibrium. Recently, switched systems without common equilibria have been observed to exhibit similar convergent behavior under appropriate switching laws. Such behavior is called practical stability. In this paper, we report some recent developments on practical stabilization of continuous-time switched systems. Besides formally introducing some practical stabilizability concepts, we delineate the connections and differences between practical and conventional stabilizability. In particular, we show that the study of practical stabilizability not only extends the stability research to more general classes of switched systems, but also makes switching control easier and more practical to implement. Four switching control problems are presented to demonstrate the importance and relevance of practical stabilization.

Original languageEnglish
Title of host publicationProceedings of the 2007 American Control Conference, ACC
Pages663-668
Number of pages6
DOIs
Publication statusPublished - 2007 Dec 1
Event2007 American Control Conference, ACC - New York, NY, United States
Duration: 2007 Jul 92007 Jul 13

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Conference

Conference2007 American Control Conference, ACC
CountryUnited States
CityNew York, NY
Period07/7/907/7/13

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Xu, P., Zhai, G., & He, S. (2007). Stabilizability and practical stabilizability of continuous-time switched systems: A unified view. In Proceedings of the 2007 American Control Conference, ACC (pp. 663-668). [4282211] (Proceedings of the American Control Conference). https://doi.org/10.1109/ACC.2007.4282211