Synchronization of time-delayed T-S fuzzy chaotic systems via scalar output variable

Jae Hun Kim, Hyunseok Shin, Euntai Kim, Mignon Park

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


It has been known that very complex chaotic behaviors can be observed in a simple first-order system with time-delay. This paper presents a fuzzy model-based approach for synchronization of time-delayed chaotic system via a scalar output variable. Takagi-Sugeno (T-S) fuzzy model can represent a general class of nonlinear system and we employ it for fuzzy modeling of the chaotic drive and response system with time-delay. Since only a scalar output variable is available for synchronization, a fuzzy observer based on T-S fuzzy model is designed and applied to chaotic synchronization. We analyze the stability of the overall fuzzy synchronization system by applying Lyapunov-Krasovskii theory and derive stability conditions by solving linear matrix inequalities (LMI's) problem. A numerical example is given to demonstrate the validity of the proposed synchronization approach.

Original languageEnglish
Pages (from-to)2593-2601
Number of pages9
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Issue number8
Publication statusPublished - 2005 Aug

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics


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