Reachable set estimation and decentralized control synthesis for a class of large-scale switched systems

Tao Wang, Xuehai Wang, Weiming Xiang

Research output: Contribution to journalArticle

Abstract

The reachable set estimation and stabilization problems of large-scale switched systems have been investigated in this paper. To start with, a class of specific Lyapunov functions for the reachable set estimation of large-scale switched systems is proposed. Secondly, by the method of the proposed specific Lyapunov functions of the large-scale switched systems, the boundary of system state response is calculated under arbitrary switching, which might be used for the safety verification. Then, the concept of decentralized control is introduced and the decentralized state feedback controllers are developed to ensure the state trajectories of the closed-loop large-scale switched systems are limited within the estimated set and guarantee the system globally uniformly asymptotically stable. Finally, several numerical and practical examples are established to confirm the effectiveness and correctness of our results.

Original languageEnglish (US)
Pages (from-to)75-85
Number of pages11
JournalISA Transactions
Volume103
DOIs
StatePublished - Aug 2020

Keywords

  • Arbitrary switching
  • Decentralized control
  • Globally uniformly asymptotically stability
  • Large-scale switched systems
  • Reachable set estimation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Instrumentation
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics

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