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

Author

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

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.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:4:p:930-940
    DOI: 10.1016/j.chaos.2005.04.056
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    Cited by:

    1. Asemani, Mohammad Hassan & Majd, Vahid Johari, 2009. "Stability of output-feedback DPDC-based fuzzy synchronization of chaotic systems via LMI," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1126-1135.
    2. Lien, Chang-Hua, 2007. "H∞ non-fragile observer-based controls of dynamical systems via LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 428-436.
    3. 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.
    4. Beyhan, Selami & Cetin, Meric, 2022. "Second-order hyperparameter tuning of model-based and adaptive observers for time-varying and unknown chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    5. Li, Lixiang & Yang, Yixian & Peng, Haipeng, 2009. "Fuzzy system identification via chaotic ant swarm," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 401-409.
    6. Grassi, Giuseppe, 2009. "Observer-based hyperchaos synchronization in cascaded discrete-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 1029-1039.
    7. Sun, Yeong-Jeu, 2009. "Exponential synchronization between two classes of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2363-2368.
    8. Lien, Chang-Hua & Cheng, Wen-Chin & Tsai, Che-Hung & Yu, Ker-Wei, 2007. "Non-fragile observer-based controls of linear system via LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1530-1537.
    9. Aguilar-Bustos, A.Y. & Cruz-Hernández, C., 2009. "Synchronization of discrete-time hyperchaotic systems: An application in communications," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1301-1310.
    10. Tang, Fang, 2008. "An adaptive synchronization strategy based on active control for demodulating message hidden in chaotic signals," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1090-1096.
    11. 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.
    12. Lee, Won-Ki & Hyun, Chang-Ho & Lee, Heejin & Kim, Euntai & Park, Mignon, 2007. "Model reference adaptive synchronization of T–S fuzzy discrete chaotic systems using output tracking control," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1590-1598.

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