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 American Control Conference
Pages663-668
Number of pages6
DOIs
Publication statusPublished - 2007
Externally publishedYes
Event2007 American Control Conference, ACC - New York, NY
Duration: 2007 Jul 92007 Jul 13

Other

Other2007 American Control Conference, ACC
CityNew York, NY
Period07/7/907/7/13

Fingerprint

Stabilization

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

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

Stabilizability and practical stabilizability of continuous-time switched systems : A unified view. / Xu, Ping; Zhai, Guisheng; He, Shouling.

Proceedings of the American Control Conference. 2007. p. 663-668 4282211.

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

Xu, P, Zhai, G & He, S 2007, Stabilizability and practical stabilizability of continuous-time switched systems: A unified view. in Proceedings of the American Control Conference., 4282211, pp. 663-668, 2007 American Control Conference, ACC, New York, NY, 07/7/9. https://doi.org/10.1109/ACC.2007.4282211
Xu, Ping ; Zhai, Guisheng ; He, Shouling. / Stabilizability and practical stabilizability of continuous-time switched systems : A unified view. Proceedings of the American Control Conference. 2007. pp. 663-668
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