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Synchronization and secure communication of chaotic systems via robust adaptive high-gain fuzzy observer

Author

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  • Hyun, Chang-Ho
  • Park, Chang-Woo
  • Kim, Jae-Hun
  • Park, Mignon

Abstract

This paper proposes an alternative robust adaptive high-gain fuzzy observer design scheme and its application to synchronization and secure communication of chaotic systems. It is assumed that their states are immeasurable and their parameters are unknown. The structure of the proposed observer is represented by Takagi–Sugeno fuzzy model and has the integrator of the estimation error. It improves the performance of high-gain observer and makes the proposed observer robust against noisy measurements, uncertainties and parameter perturbations as well. Using Lyapunov stability theory, an adaptive law is derived to estimate the unknown parameters and the stability of the proposed observer is analyzed. Some simulation result of synchronization and secure communication of chaotic systems is given to present the validity of theoretical derivations and the performance of the proposed observer as an application.

Suggested Citation

  • Hyun, Chang-Ho & Park, Chang-Woo & Kim, Jae-Hun & Park, Mignon, 2009. "Synchronization and secure communication of chaotic systems via robust adaptive high-gain fuzzy observer," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2200-2209.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:5:p:2200-2209
    DOI: 10.1016/j.chaos.2007.10.006
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    References listed on IDEAS

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    1. Hyun, Chang-Ho & Kim, Jae-Hun & Kim, Euntai & Park, Mignon, 2006. "Adaptive fuzzy observer based synchronization design and secure communications of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 930-940.
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    Cited by:

    1. Sharma, Vivek & Sharma, B.B. & Nath, R., 2017. "Nonlinear unknown input sliding mode observer based chaotic system synchronization and message recovery scheme with uncertainty," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 51-58.
    2. López-Gutiérrez, R.M. & Posadas-Castillo, C. & López-Mancilla, D. & Cruz-Hernández, C., 2009. "Communicating via robust synchronization of chaotic lasers," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 277-285.

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