Reachable set estimation and decentralized control synthesis of large-scale switched systems under mixed switching

Tao Wang, Xuehai Wang, Weiming Xiang

Research output: Contribution to journalArticle

Abstract

The article studies the reachable set estimation problem for large-scale switched systems with multimodes that have mixed switching signals consisting of both dwell time switching and arbitrary switching. First, based on a novel decentralized time-scheduled Lyapunov function method, the method of the reachable set estimation of large-scale switched systems is developed. By means of the novel Lyapunov function especially constructed for large-scale switched systems, a sufficient condition is derived to ensure that the systems state is constrained in the prescribed set under the mixed dwell time switching and arbitrary switching. The concept of a decentralized control synthesis is then introduced and a time-varying decentralized state feedback controller is developed to ensure the state trajectories of closed-loop large systems are confined in a prescribed set. Finally, some examples are provided to illustrate our results.

Original languageEnglish (US)
Pages (from-to)6909-6930
Number of pages22
JournalInternational Journal of Robust and Nonlinear Control
Volume30
Issue number16
DOIs
StateAccepted/In press - 2020

Keywords

  • decentralized control synthesis
  • dwell time switching
  • large-scale switched systems
  • reachable set estimation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Chemical Engineering(all)
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Reachable set estimation and decentralized control synthesis of large-scale switched systems under mixed switching'. Together they form a unique fingerprint.

  • Cite this