Stability analysis for switched systems with continuous-time and discrete-time subsystems

Guisheng Zhai, Hai Lin, Anthony N. Michel, Kazunori Yasuda

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

38 Citations (Scopus)

Abstract

In this paper, we study stability property for a new type of switched systems which are composed of a continuous-time LTI subsystem and a discrete-time LTI subsystem. When the two subsystems are Hurwitz and Schur stable, respectively, we show that if the subsystem matrices commute each other, or if they are symmetric, then a common Lyapunov function exists for the two subsystems and that the switched system is exponentially stable under arbitrary switching. Without the assumption of commutation or symmetricity condition, we show that the switched system is exponentailly stable if the average dwell time between the subsystems is larger than a specified constant. When neither of the two subsystems is stable, we propose a sufficient condition in the form of a combination of the two subsystem matrices, under which we propose a stabilizing switching law.

Original languageEnglish
Title of host publicationProceedings of the 2004 American Control Conference (AAC)
Pages4555-4560
Number of pages6
DOIs
Publication statusPublished - 2004 Nov 29
EventProceedings of the 2004 American Control Conference (AAC) - Boston, MA, United States
Duration: 2004 Jun 302004 Jul 2

Publication series

NameProceedings of the American Control Conference
Volume5
ISSN (Print)0743-1619

Conference

ConferenceProceedings of the 2004 American Control Conference (AAC)
CountryUnited States
CityBoston, MA
Period04/6/3004/7/2

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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  • Cite this

    Zhai, G., Lin, H., Michel, A. N., & Yasuda, K. (2004). Stability analysis for switched systems with continuous-time and discrete-time subsystems. In Proceedings of the 2004 American Control Conference (AAC) (pp. 4555-4560). (Proceedings of the American Control Conference; Vol. 5). https://doi.org/10.1109/ACC.2004.182670