Qualitative analysis for a class of switched systems

Guisheng Zhai, Kazunori Yasuda

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

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 languageEnglish
Title of host publicationProceedings of the 4th Asia-Pacific Conference on Control and Measurement
EditorsS. Chunlin, S. Chunlin
Pages139-144
Number of pages6
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

  • Commutative pairwise
  • Exponential stability
  • Nonlinear perturbations
  • Switched system
  • Switching law

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Zhai, G., & Yasuda, K. (2000). Qualitative analysis for a class of switched systems. In S. Chunlin, & S. Chunlin (Eds.), Proceedings of the 4th Asia-Pacific Conference on Control and Measurement (pp. 139-144). (Proceedings of the 4th Asia-Pacific Conference on Control and Measurement).