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Robust stabilization for a class of uncertain discrete-time switched linear systems

  • Harbin Institute of Technology

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

Abstract

The problem of robust stabilization for a class of discrete-time switched linear systems with norm-bounded time-varying uncertainties is investigated. The purpose is to construct a switching rule and design a state feedback control law, such that, the closed-loop system is asymptotically stable for all admissible uncertainties under the constructed switching rule. Based on the multiple Lyapunov functions approach and matrix inequality technique, a new condition for the existence of state feedback control law and switching rule is derived. The condition can be dealt with as linear matrix inequalities (LMIs) if some scalars parameters are selected in advance. An example illustrates the effectiveness of the proposed results.

Original languageEnglish
Title of host publicationProceedings of the 7th International Conference on Machine Learning and Cybernetics, ICMLC
Pages2352-2356
Number of pages5
DOIs
StatePublished - 2008
Event7th International Conference on Machine Learning and Cybernetics, ICMLC - Kunming, China
Duration: 12 Jul 200815 Jul 2008

Publication series

NameProceedings of the 7th International Conference on Machine Learning and Cybernetics, ICMLC
Volume4

Conference

Conference7th International Conference on Machine Learning and Cybernetics, ICMLC
Country/TerritoryChina
CityKunming
Period12/07/0815/07/08

Keywords

  • Hybrid system
  • Robust stabilization
  • Switched linear system
  • Switching rule
  • Uncertainties

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