Discretisation of continuous-time T-S fuzzy system: Global approach

D. W. Kim, J. B. Park, H. J. Lee, Y. H. Joo

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A new discretisation technique (so-called global discretisation approach) for the continuous-time Takagi-Sugeno (T-S) fuzzy system is suggested. The proposed global discretisation method takes account of the non-linear behaviour among the fuzzy rules. The authors' main idea is to utilise the dual-rate sampling scheme. The proposed approach is to discretise the overall dynamics of the fuzzy system in the slow-rate sampling period and then to perform the approximation for the polytopic structure in the fast-rate sampling period. In addition, to reduce the number of the IF-THEN rules, the convex minimisation problem is formulated in terms of the linear matrix inequalities. A chaotic Lorenz system is used to show the feasibility of the proposed discretisation method.

Original languageEnglish
Pages (from-to)237-246
Number of pages10
JournalIEE Proceedings: Control Theory and Applications
Volume153
Issue number2
DOIs
Publication statusPublished - 2006 Feb 20

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fuzzy systems
Fuzzy systems
Sampling
sampling
Chaotic systems
Fuzzy rules
Linear matrix inequalities
optimization
approximation

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Instrumentation
  • Electrical and Electronic Engineering

Cite this

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Discretisation of continuous-time T-S fuzzy system : Global approach. / Kim, D. W.; Park, J. B.; Lee, H. J.; Joo, Y. H.

In: IEE Proceedings: Control Theory and Applications, Vol. 153, No. 2, 20.02.2006, p. 237-246.

Research output: Contribution to journalArticle

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