New stability criteria of switched systems with unstable modes under a weighted ADT scheme

Qiang Yu, Guisheng Zhai

Research output: Contribution to journalArticlepeer-review

Abstract

Two concepts of the weighted average dwell time (WADT) and the fast weighted average dwell time (FWADT) are introduced for continuous-time switched systems. The stability problems for a switched system with WADT and FWADT are investigated under a class of ergodic switching signals. The relationship between the ADT/mode-dependent ADT schemes and the WADT scheme is also discussed, which shows that the classic schemes are included in the new one under some conditions. The proposed switching law based on the (F)WADT scheme is more flexible and has a larger feasible region than the existing results. Finally, two numerical examples with some comparisons among several schemes are included to illustrate the validity and superiority of the developed techniques.

Original languageEnglish
JournalInternational Journal of Systems Science
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • mode-dependent average dwell time
  • stability
  • Switched systems
  • weighted average dwell time

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications

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