Exponential stabilization for discrete-time uncertain 2-D switched systems

Rongni Yang, Peng Shi

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

Abstract

In this paper, the problem of exponential stabilization is investigated for a class of discrete-time uncertain two-dimensional (2-D) switched systems, which are formulated by the well-known Fornasini-Marchesini local state-space model. Firstly, the extended average dwell time technique combining with the piecewise Lyapunov function approach is developed and the exponential stability condition is established for such systems with parameter uncertainties under the restricted switching signal. Then based on the stability analysis results, sufficient conditions for the existence of an admissible controller are given to ensure the exponential stability of the resulting closed-loop system. Finally, an example is provided to illustrate the effectiveness of the proposed new design techniques.
Original languageEnglish
Title of host publicationProceedings of 2015 15th International Conference on Control, Automation and Systems (ICCAS 2015), Busan, South Korea, 13-16 October 2015
PublisherIEEE
Pages964-970
Number of pages7
ISBN (Print)9788993215090
DOIs
Publication statusPublished - 2015
EventInternational Conference on Control_Automation and Systems -
Duration: 13 Oct 2015 → …

Publication series

Name
ISSN (Print)2093-7121

Conference

ConferenceInternational Conference on Control_Automation and Systems
Period13/10/15 → …

Keywords

  • Lyapunov functions
  • closed-loop systems
  • discrete-time systems
  • stability
  • switched systems

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