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Stability and stabilization of switched linear discrete-time systems with polytopic uncertainties

  • University of Alberta
  • Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, the problems of stability and stabilization of switched linear discrete-time systems with polytopic uncertainties are investigated. A switched parameter-dependent quadratic Lyapunov function is proposed, by which the stability conditions are derived and formulated in terms of a set of linear matrix inequalities. Based on the stability result, control synthesis is then considered and a stabilizing state-feedback controller is obtained by solving a convex optimization problem subject to linear matrix inequalities. Both mode-dependent and parameter-dependent ideas are used in stability analysis and controller design for the underlying systems. Numerical examples are given to show the less conservativeness and the potential of the obtained theoretic results.

Original languageEnglish
Title of host publicationProceedings of the 2006 American Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5953-5958
Number of pages6
ISBN (Print)1424402107, 9781424402106
DOIs
StatePublished - 2006
Event2006 American Control Conference, ACC 2006 - Minneapolis, MN, United States
Duration: 14 Jun 200616 Jun 2006

Publication series

NameProceedings of the American Control Conference
Volume2006
ISSN (Print)0743-1619

Conference

Conference2006 American Control Conference, ACC 2006
Country/TerritoryUnited States
CityMinneapolis, MN
Period14/06/0616/06/06

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