Adaptive synchronization of T-S fuzzy chaotic systems with unknown parameters

Jae Hun Kim, Chang Woo Park, Euntai Kim, Mignon Park

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

This paper presents a fuzzy model-based adaptive approach for synchronization of chaotic systems which consist of the drive and response systems. Takagi-Sugeno (T-S) fuzzy model is employed to represent the chaotic drive and response systems. Since the parameters of the drive system are assumed unknown, we design the response system that estimates the parameters of the drive system by adaptive strategy. The adaptive law is derived to estimate the unknown parameters and its stability is guaranteed by Lyapunov stability theory. In addition, the controller in the response system contains two parts: one part that can stabilize the synchronization error dynamics and the other part that estimates the unknown parameters. Numerical examples, including Duffing oscillator and Lorenz attractor, are given to demonstrate the validity of the proposed adaptive synchronization approach.

Original languageEnglish
Pages (from-to)1353-1361
Number of pages9
JournalChaos, Solitons and Fractals
Volume24
Issue number5
DOIs
Publication statusPublished - 2005 Jun 1

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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