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 |
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| 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 |
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Conference
| Conference | Proceedings of the 4th Asia-Pacific Conference on Control and Measurement |
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| Country | China |
| City | Guilin |
| Period | 00/7/9 → 00/7/12 |
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Keywords
- Average dwell time
- Piecewise Lyapunov function
- Script L sign gain
- Switched system
- Switching law
ASJC Scopus subject areas
- Engineering(all)
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).