Fuzzy H∞Synchronization for Chaotic Systems with Time-Varying Delay

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3 Citations (Scopus)


In this paper, we propose a new H synchronization method for fuzzy model based chaotic systems with external disturbance and time-varying delay. Based on Lyapunov-Krasovskii theory, Takagi-Sugeno (TS) fuzzy model, and linear matrix inequality (LMI) approach, the H synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an H® norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. A simulation study is presented to demonstrate the validity of the proposed approach.

Original languageEnglish
Pages (from-to)151-160
Number of pages10
JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Issue number3-4
Publication statusPublished - 2011 Apr
Externally publishedYes


  • Chaotic Systems
  • H∞ Synchronization
  • Lyapunov-Krasovskii Theory
  • Takagi-Sugeno (TS) Fuzzy Model
  • Time-Varying Delay

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry


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