• Robust chaos synchronization based on adaptive fuzzy delayed feedback $\mathcal{H}_{\infty}$ control

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    • Keywords


      Chaos synchronization; Takagi–Sugeno (T–S) fuzzy model; adaptive $\mathcal_{\infty}$ control; linear matrix inequality (LMI); delayed feedback control.

    • Abstract


      In this paper, we propose a new adaptive $\mathcal_{\infty}$ synchronization strategy, called an adaptive fuzzy delayed feedback $\mathcal_{\infty}$ 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 $\mathcal_{\infty}$ control scheme, the AFDFHS controller is presented such that the synchronization error system is asymptotically stable with a guaranteed $\mathcal_{\infty}$ 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.

    • Author Affiliations


      Choon Ki Ahn1

      1. Faculty of the Department of Automotive Engineering, Seoul National University of Science & Technology, 172 Gongneung 2-dong, Nowon-gu, Seoul 139-743, Korea
    • Dates

  • Pramana – Journal of Physics | News

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