Stability analysis and design of switched normal systems

Guisheng Zhai, Hai Lin, Xuping Xu, Anthony N. Michel

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

14 Citations (Scopus)

Abstract

In this paper, we study stability property for a class of switched systems whose subsystems are normal. The subsystems can be continuous-time or discrete-time. When all continuous-time subsystems are Hurwitz stable and all discrete-time subsystems are Schur stable, we show that a common quadratic Lyapunov function exists for the subsystems and that the switched system is exponentially stable under arbitrary switching. When unstable subsystems are involved, we show that given a desired decay rate of the system, if the activation time ratio between unstable subsystems and stable ones is less than a certain value (calculated using the decay rate), then the switched system is exponentially stable with the desired decay rate.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages3253-3258
Number of pages6
Volume3
Publication statusPublished - 2004
Externally publishedYes
Event2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas
Duration: 2004 Dec 142004 Dec 17

Other

Other2004 43rd IEEE Conference on Decision and Control (CDC)
CountryBahamas
CityNassau
Period04/12/1404/12/17

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Lyapunov functions
Chemical activation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality
  • Chemical Health and Safety

Cite this

Zhai, G., Lin, H., Xu, X., & Michel, A. N. (2004). Stability analysis and design of switched normal systems. In Proceedings of the IEEE Conference on Decision and Control (Vol. 3, pp. 3253-3258). [ThB02.4]

Stability analysis and design of switched normal systems. / Zhai, Guisheng; Lin, Hai; Xu, Xuping; Michel, Anthony N.

Proceedings of the IEEE Conference on Decision and Control. Vol. 3 2004. p. 3253-3258 ThB02.4.

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

Zhai, G, Lin, H, Xu, X & Michel, AN 2004, Stability analysis and design of switched normal systems. in Proceedings of the IEEE Conference on Decision and Control. vol. 3, ThB02.4, pp. 3253-3258, 2004 43rd IEEE Conference on Decision and Control (CDC), Nassau, Bahamas, 04/12/14.
Zhai G, Lin H, Xu X, Michel AN. Stability analysis and design of switched normal systems. In Proceedings of the IEEE Conference on Decision and Control. Vol. 3. 2004. p. 3253-3258. ThB02.4
Zhai, Guisheng ; Lin, Hai ; Xu, Xuping ; Michel, Anthony N. / Stability analysis and design of switched normal systems. Proceedings of the IEEE Conference on Decision and Control. Vol. 3 2004. pp. 3253-3258
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