Adaptive fuzzy observer based synchronization design and secure communications of chaotic systems

Chang Ho Hyun, Jae Hun Kim, Euntai Kim, Mignon Park

Research output: Contribution to journalArticle

55 Citations (Scopus)

Abstract

This paper proposes a synchronization design scheme based on an alternative indirect adaptive fuzzy observer and its application to secure communication of chaotic systems. It is assumed that their states are unmeasurable and their parameters are unknown. Chaotic systems and the structure of the fuzzy observer are represented by the Takagi-Sugeno fuzzy model. Using Lyapunov stability theory, an adaptive law is derived to estimate the unknown parameters and the stability of the proposed system is guaranteed. Through this process, the asymptotic synchronization of chaotic systems is achieved. The proposed observer is applied to secure communications of chaotic systems and some numerical simulation results show the validity of theoretical derivations and the performance of the proposed observer.

Original languageEnglish
Pages (from-to)930-940
Number of pages11
JournalChaos, Solitons and Fractals
Volume27
Issue number4
DOIs
Publication statusPublished - 2006 Feb 1

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All Science Journal Classification (ASJC) codes

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

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