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

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

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 proceeding › Conference 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 language	English
Title of host publication	Proceedings of the 4th Asia-Pacific Conference on Control and Measurement
Editors	S. Chunlin, S. Chunlin
Pages	145-149
Number of pages	5
Publication status	Published - 2000 Dec 1
Event	Proceedings of the 4th Asia-Pacific Conference on Control and Measurement - Guilin, China Duration: 2000 Jul 9 → 2000 Jul 12

Publication series

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

Conference

Conference	Proceedings of the 4th Asia-Pacific Conference on Control and Measurement
Country	China
City	Guilin
Period	00/7/9 → 00/7/12

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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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).

Script L sign₂ gain analysis of switched systems with average dwell time. / Zhai, Guisheng; Hu, Bo; Yasuda, Kazunori; Michel, Anthony N.

Proceedings of the 4th Asia-Pacific Conference on Control and Measurement. ed. / S. Chunlin; S. Chunlin. 2000. p. 145-149 (Proceedings of the 4th Asia-Pacific Conference on Control and Measurement).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Zhai, G, Hu, B, Yasuda, K & Michel, AN 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. 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, Guilin, China, 00/7/9.

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N2 - 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.

AB - 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.

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