Stabilization of multirate sampled-data fuzzy systems based on an approximate discrete-time model

Do Wan Kim, Jin Bae Park, Young Hoon Joo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper studies a stabilization problem for a multirate digital control of fuzzy systems based on the approximately discretized model. In the multirate control scheme, a numerical integration scheme is used to approximately predict the current state from the state measured at the sampling points. It is shown that the multirate digital fuzzy controller stabilizing an approximate discrete-time fuzzy model would also stabilize the sampled-data fuzzy system in the sufficiently small control update time. Furthermore, some sufficient conditions for the stabilization of the approximate discrete-time fuzzy model are provided under the delta-operator frame work, which are expressed as the linear matrix inequalities (LMIs) and thereby easily tractable by the convex optimization techniques. A numerical example is demonstrated to visualize the feasibility of the developed methodology.

Original languageEnglish
Title of host publicationFuzzy Systems and Knowledge Discovery - Third International Conference, FSKD 2006, Proceedings
PublisherSpringer Verlag
Pages49-58
Number of pages10
ISBN (Print)3540459162, 9783540459163
DOIs
Publication statusPublished - 2006
Event3rd International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2006 - Xi'an, China
Duration: 2006 Sep 242006 Sep 28

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4223 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other3rd International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2006
CountryChina
CityXi'an
Period06/9/2406/9/28

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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    Kim, D. W., Park, J. B., & Joo, Y. H. (2006). Stabilization of multirate sampled-data fuzzy systems based on an approximate discrete-time model. In Fuzzy Systems and Knowledge Discovery - Third International Conference, FSKD 2006, Proceedings (pp. 49-58). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4223 LNAI). Springer Verlag. https://doi.org/10.1007/11881599_7