Stability analysis of switched systems with stable and unstable subsystems

an average dwell time approach

Guisheng Zhai, Bo Hu, Kazunori Yasuda, Anthony N. Michel

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

192 Citations (Scopus)

Abstract

We study the stability properties of linear switched systems consisting of both Hurwitz stable and unstable sub-systems using an average dwell time approach. We show that if the average dwell time is chosen sufficiently large and the total activation time of unstable subsystems is relatively small compared with that of Hurwitz stable sub-systems, then exponential stability of a desired degree is guaranteed. We also derive a piecewise Lyapunov function for the switched system subjected to the switching law and the average dwell time scheme under consideration, and we extend these results to the case for which nonlinear norm-bounded perturbations exist in the subsystems. We show that when the norms of the perturbations are small, we can modify the switching law appropriately to guarantee that the solutions of the switched system converge to the origin exponentially with large average dwell time.

Original languageEnglish
Title of host publicationProceedings of the American Control Conference
PublisherIEEE
Pages200-204
Number of pages5
Volume1
Publication statusPublished - 2000
Externally publishedYes
Event2000 American Control Conference - Chicago, IL, USA
Duration: 2000 Jun 282000 Jun 30

Other

Other2000 American Control Conference
CityChicago, IL, USA
Period00/6/2800/6/30

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Lyapunov functions
Asymptotic stability
System stability
Chemical activation

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Zhai, G., Hu, B., Yasuda, K., & Michel, A. N. (2000). Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach. In Proceedings of the American Control Conference (Vol. 1, pp. 200-204). IEEE.

Stability analysis of switched systems with stable and unstable subsystems : an average dwell time approach. / Zhai, Guisheng; Hu, Bo; Yasuda, Kazunori; Michel, Anthony N.

Proceedings of the American Control Conference. Vol. 1 IEEE, 2000. p. 200-204.

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

Zhai, G, Hu, B, Yasuda, K & Michel, AN 2000, Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach. in Proceedings of the American Control Conference. vol. 1, IEEE, pp. 200-204, 2000 American Control Conference, Chicago, IL, USA, 00/6/28.
Zhai G, Hu B, Yasuda K, Michel AN. Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach. In Proceedings of the American Control Conference. Vol. 1. IEEE. 2000. p. 200-204
Zhai, Guisheng ; Hu, Bo ; Yasuda, Kazunori ; Michel, Anthony N. / Stability analysis of switched systems with stable and unstable subsystems : an average dwell time approach. Proceedings of the American Control Conference. Vol. 1 IEEE, 2000. pp. 200-204
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