Abstract
In this paper, we study several qualitative properties for a class of switched systems composed of several subsystems, where each subsystem's vector field is composed of a linear time-invariant part and a nonlinear norm-bounded perturbation part. It is assumed that the linear subsystem matrices are commutative pairwise, and there exists a linear convex stable combination of unstable linear subsystem matrices. First, in the case of no perturbations, we propose a switching law under which the entire switched system is globally exponentially stable. In the switching law, Hurwitz stable sub-systems (if exist) are activated arbitrarily while unstable ones are activated in sequence with their duration time periods satisfying a specified ratio. Secondly, under the same switching law, we analyze qualitative property of the switched system in the case where nonlinear norm-bounded perturbations exist. Some numerical examples are given in the paper to demonstrate the results.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 4th Asia-Pacific Conference on Control and Measurement |
| Editors | S. Chunlin, S. Chunlin |
| Pages | 139-144 |
| Number of pages | 6 |
| 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 |
Keywords
- Commutative pairwise
- Exponential stability
- Nonlinear perturbations
- Switched system
- Switching law
ASJC Scopus subject areas
- Engineering(all)
Cite this
Qualitative analysis for a class of switched systems. / Zhai, Guisheng; Yasuda, Kazunori.
Proceedings of the 4th Asia-Pacific Conference on Control and Measurement. ed. / S. Chunlin; S. Chunlin. 2000. p. 139-144.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Qualitative analysis for a class of switched systems
AU - Zhai, Guisheng
AU - Yasuda, Kazunori
PY - 2000
Y1 - 2000
N2 - In this paper, we study several qualitative properties for a class of switched systems composed of several subsystems, where each subsystem's vector field is composed of a linear time-invariant part and a nonlinear norm-bounded perturbation part. It is assumed that the linear subsystem matrices are commutative pairwise, and there exists a linear convex stable combination of unstable linear subsystem matrices. First, in the case of no perturbations, we propose a switching law under which the entire switched system is globally exponentially stable. In the switching law, Hurwitz stable sub-systems (if exist) are activated arbitrarily while unstable ones are activated in sequence with their duration time periods satisfying a specified ratio. Secondly, under the same switching law, we analyze qualitative property of the switched system in the case where nonlinear norm-bounded perturbations exist. Some numerical examples are given in the paper to demonstrate the results.
AB - In this paper, we study several qualitative properties for a class of switched systems composed of several subsystems, where each subsystem's vector field is composed of a linear time-invariant part and a nonlinear norm-bounded perturbation part. It is assumed that the linear subsystem matrices are commutative pairwise, and there exists a linear convex stable combination of unstable linear subsystem matrices. First, in the case of no perturbations, we propose a switching law under which the entire switched system is globally exponentially stable. In the switching law, Hurwitz stable sub-systems (if exist) are activated arbitrarily while unstable ones are activated in sequence with their duration time periods satisfying a specified ratio. Secondly, under the same switching law, we analyze qualitative property of the switched system in the case where nonlinear norm-bounded perturbations exist. Some numerical examples are given in the paper to demonstrate the results.
KW - Commutative pairwise
KW - Exponential stability
KW - Nonlinear perturbations
KW - Switched system
KW - Switching law
UR - http://www.scopus.com/inward/record.url?scp=0034590285&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034590285&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0034590285
SN - 7801346955
SP - 139
EP - 144
BT - Proceedings of the 4th Asia-Pacific Conference on Control and Measurement
A2 - Chunlin, S.
A2 - Chunlin, S.
ER -