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Observer-based synchronization of uncertain chaotic system and its application to secure communications

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  • Zhu, Fanglai

Abstract

Within the drive-response configuration, this paper considers the synchronization of uncertain chaotic systems based on observers and chaos-based secure communication. Even if there are unknown disturbances and parameters in the drive system, a robust adaptive observer can be used as response system to realize chaotic synchronization. The proposed method is then applied to secure communication. The transmitter is constructed by injecting the information into the drive system with proper manner and one of the transmitting signal is the sum of one of the output and the information signal. The Lur’e chaotic system is considered as an illustrative example to demonstrate the effectiveness of the proposed approaches.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:5:p:2384-2391
    DOI: 10.1016/j.chaos.2007.10.052
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    References listed on IDEAS

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    1. 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.
    2. 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.
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    Cited by:

    1. Zheng, Juanhui & Cui, Baotong, 2018. "State estimation of chaotic Lurie system with logarithmic quantization," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 141-148.
    2. Kajbaf, Amin & Akhaee, Mohammad Ali & Sheikhan, Mansour, 2016. "Fast synchronization of non-identical chaotic modulation-based secure systems using a modified sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 84(C), pages 49-57.
    3. 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.

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