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 |
| Externally published | Yes |
| Event | Proceedings of the 4th Asia-Pacific Conference on Control and Measurement - Guilin Duration: 2000 Jul 9 → 2000 Jul 12 |
Other
| Other | Proceedings of the 4th Asia-Pacific Conference on Control and Measurement |
|---|---|
| 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
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.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Script L sign2 gain analysis of switched systems with average dwell time
AU - Zhai, Guisheng
AU - Hu, Bo
AU - Yasuda, Kazunori
AU - Michel, Anthony N.
PY - 2000
Y1 - 2000
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.
KW - Average dwell time
KW - Piecewise Lyapunov function
KW - Script L sign gain
KW - Switched system
KW - Switching law
UR - http://www.scopus.com/inward/record.url?scp=0034590769&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034590769&partnerID=8YFLogxK
M3 - Conference contribution
SN - 7801346955
SP - 145
EP - 149
BT - Proceedings of the 4th Asia-Pacific Conference on Control and Measurement
A2 - Chunlin, S.
A2 - Chunlin, S.
ER -