Script L sign2 gain analysis of switched systems with average dwell time

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

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

Abstract

In this paper, we investigate the script L sign2 gain properties of time-controlled switched systems consisting of several linear Subsystems by using an average dwell time approach incorporated with a piecewise Lyapunov function. We show that when all subsystems are Hurwitz stable and have the script L sign2 gain smaller than a positive scalar γ0, then the switched system can achieve any script L sign2 gain larger than γ0 if the average dwell time is chosen sufficiently large. The result is extended to the case where state jumps occur at switching points, and to a class of nonlinear switched systems by considering a Hamilton-Jacobi inequality for each subsystem.

Original languageEnglish
Title of host publicationProceedings of the 4th Asia-Pacific Conference on Control and Measurement
EditorsS. Chunlin, S. Chunlin
Pages145-149
Number of pages5
Publication statusPublished - 2000 Dec 1
EventProceedings of the 4th Asia-Pacific Conference on Control and Measurement - Guilin, China
Duration: 2000 Jul 92000 Jul 12

Publication series

NameProceedings of the 4th Asia-Pacific Conference on Control and Measurement

Conference

ConferenceProceedings of the 4th Asia-Pacific Conference on Control and Measurement
CountryChina
CityGuilin
Period00/7/900/7/12

Keywords

  • Average dwell time
  • Piecewise Lyapunov function
  • Script L sign gain
  • Switched system
  • Switching law

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Zhai, G., Hu, B., Yasuda, K., & Michel, A. N. (2000). Script L sign2 gain analysis of switched systems with average dwell time. In S. Chunlin, & S. Chunlin (Eds.), Proceedings of the 4th Asia-Pacific Conference on Control and Measurement (pp. 145-149). (Proceedings of the 4th Asia-Pacific Conference on Control and Measurement).