Robust chaos synchronization based on adaptive fuzzy delayed feedback H control

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2 Citations (Scopus)


In this paper, we propose a new adaptive H synchronization strategy, called an adaptive fuzzy delayed feedback H synchronization (AFDFHS) strategy, for chaotic systems with uncertain parameters and external disturbances. Based on Lyapunov-Krasovskii theory, Takagi- Sugeno (T-S) fuzzy model and adaptive delayed feedback H control scheme, the AFDFHS controller is presented such that the synchronization error system is asymptotically stable with a guaranteed H8 performance. It is shown that the design of the AFDFHS controller with adaptive law can be achieved by solving a linear matrix inequality (LMI), which can be easily facilitated by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed AFDFHS approach.

Original languageEnglish
Pages (from-to)361-374
Number of pages14
JournalPramana - Journal of Physics
Issue number3
Publication statusPublished - 2012 Mar
Externally publishedYes


  • Adaptive H control
  • Chaos synchronization
  • Delayed feedback control
  • Linear matrix inequality (LMI)
  • Takagi-Sugeno (T-S) fuzzy model

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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