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A new observer-based synchronization scheme for private communication

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  • Chen, Maoyin
  • Zhou, Donghua
  • Shang, Yun

Abstract

Applying the sliding mode observer strategy, this paper proposes a new observer-based synchronization scheme in the drive-response framework. If a chaotic system (the driving system) satisfies strictly positive real condition, a sliding mode observer (the response system) can be constructed to synchronize the driving system globally. Further, the hidden message can be approximately recovered by the equivalent control signal in the sense of least mean square. Theoretical analysis and numerical simulation show the effectiveness of the proposed scheme.

Suggested Citation

  • Chen, Maoyin & Zhou, Donghua & Shang, Yun, 2005. "A new observer-based synchronization scheme for private communication," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1025-1030.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:4:p:1025-1030
    DOI: 10.1016/j.chaos.2004.09.096
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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. Li, Demin & Wang, Zidong & Zhou, Jie & Fang, Jian’an & Ni, Jinjin, 2008. "A note on chaotic synchronization of time-delay secure communication systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1217-1224.
    3. Yan, Jun-Juh & Yang, Yi-Sung & Chiang, Tsung-Ying & Chen, Ching-Yuan, 2007. "Robust synchronization of unified chaotic systems via sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 947-954.
    4. Hung, Meei-Ling & Yan, Jun-Juh & Liao, Teh-Lu, 2008. "Generalized projective synchronization of chaotic nonlinear gyros coupled with dead-zone input," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 181-187.
    5. 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.
    6. Yan, Jun-Juh & Lin, Jui-Sheng & Liao, Teh-Lu, 2008. "Synchronization of a modified Chua’s circuit system via adaptive sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 45-52.
    7. Chen, Maoyin & Zhou, Donghua & Shang, Yun, 2005. "A sliding mode observer based secure communication scheme," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 573-578.
    8. Handa, Himesh & Sharma, B.B., 2016. "Novel adaptive feedback synchronization scheme for a class of chaotic systems with and without parametric uncertainty," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 50-63.
    9. Grassi, Giuseppe, 2009. "Observer-based hyperchaos synchronization in cascaded discrete-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 1029-1039.
    10. Zhang, Bai & Chen, Maoyin & Zhou, Donghua, 2006. "Chaotic secure communication based on particle filtering," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1273-1280.
    11. 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.
    12. Karimi, Hamid Reza & Maass, Peter, 2009. "Delay-range-dependent exponential H∞ synchronization of a class of delayed neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1125-1135.

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