State-feedback stabilization of discrete-time switched linear systems with improved PDT constraints

Yanzheng Zhu, Wei Xing Zheng

Research output: Chapter in Book / Conference PaperConference Paperpeer-review

Abstract

This paper is concerned with the issues of stability analysis and state-feedback stabilization control design for a class of discrete-time switched linear systems. Other than the existing studies on the persistent dwell time (PDT) switching signals, the average dwell time (ADT) switching property is considered together with the PDT switching constraint here to eliminate the restriction of dwell time requirements and to lift the flexibility of PDT switching signals design. By virtue of the semi-time-varying (STV) Lyapunov function approach, the stability criteria are derived for the considered system. Then sufficient conditions on the solvability of stabilizing controllers in STV form are obtained, and the corresponding controller gains are calculated by solving a cluster of linear matrix inequalities. Finally, the advantage of the developed theoretical results is illustrated via a numerical example.
Original languageEnglish
Title of host publicationProceedings of the 2018 Australian and New Zealand Control Conference (ANZCC 2018), Swinburne University of Technology, Hawthorn, Melbourne, 07-08 December 2018
PublisherIEEE
Pages408-412
Number of pages5
ISBN (Print)9781538666173
DOIs
Publication statusPublished - 2018
EventAustralian and New Zealand Control Conference -
Duration: 7 Dec 2018 → …

Conference

ConferenceAustralian and New Zealand Control Conference
Period7/12/18 → …

Keywords

  • Lyapunov functions
  • discrete-time systems
  • dynamics
  • feedback control systems
  • mathematical models
  • stability

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