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Exponential stabilization of linear systems with time-varying sampling

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Abstract

This paper studies the problem of exponential stabilization of linear systems with time-varying sampling. The sampling rate varies form sample to sample with the given probability. By applying the input delay approach, the sampled-data system is transformed into a continuous time-delay system with stochastic parameter. A new exponential stability criterion is derived for the sampled-data system by using the Lyapunov functional approach. Based on this, the design procedure for stabilization controllers is presented by means of linear matrix inequalities (LMIs). An example shows the effectiveness of the proposed controller design methodology.

Original languageEnglish
Title of host publicationProceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Edition1 PART 1
DOIs
StatePublished - 2008
Event17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of
Duration: 6 Jul 200811 Jul 2008

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume17
ISSN (Print)1474-6670

Conference

Conference17th World Congress, International Federation of Automatic Control, IFAC
Country/TerritoryKorea, Republic of
CitySeoul
Period6/07/0811/07/08

Keywords

  • Stochastic optimal control problems

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