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Synchronization of unidirectional coupled chaotic systems with unknown channel time-delay: Adaptive robust observer-based approach

Author

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  • Lin, Jui-Sheng
  • Liao, Teh-Lu
  • Yan, Jun-Juh
  • Yau, Her-Terng

Abstract

In this paper, an adaptive robust observer-based scheme for the synchronization of unidirectional coupled chaotic systems with unknown channel time-delay and system uncertainties is proposed. The effects of time-delay arise from the physical characteristics of coupled channel, while the system uncertainties arise due to unknown but bounded external disturbances and parametric perturbations. By appropriately selecting the observer controller and adaptation mechanism, the master–slave chaotic synchronization can be guaranteed by Lyapunov approach. Finally, the Chua’s circuit is used as an illustrative example, where simulation results are given to demonstrate the effectiveness of the proposed scheme.

Suggested Citation

  • Lin, Jui-Sheng & Liao, Teh-Lu & Yan, Jun-Juh & Yau, Her-Terng, 2005. "Synchronization of unidirectional coupled chaotic systems with unknown channel time-delay: Adaptive robust observer-based approach," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 971-978.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:3:p:971-978
    DOI: 10.1016/j.chaos.2005.02.005
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    Cited by:

    1. 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.
    2. Chen, Mou & Chen, Wen-hua, 2009. "Robust adaptive neural network synchronization controller design for a class of time delay uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2716-2724.
    3. Grassi, Giuseppe, 2009. "Observer-based hyperchaos synchronization in cascaded discrete-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 1029-1039.
    4. Zhu, Fanglai, 2009. "Observer-based synchronization of uncertain chaotic system and its application to secure communications," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2384-2391.
    5. 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.
    6. Tang, Yinggan & Cui, Mingyong & Li, Lixiang & Peng, Haipeng & Guan, Xinping, 2009. "Parameter identification of time-delay chaotic system using chaotic ant swarm," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2097-2102.

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