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On the synchronization of uncertain master–slave chaotic systems with disturbance

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  • Wang, Bo
  • Wen, Guangjun

Abstract

This paper focuses on the synchronization of a class of master–slave chaotic systems with uncertainty and disturbance. A sliding surface is adopted newly to ensure the stability of the error dynamics in sliding mode and a dynamic variable structure controller (DVSC) is derived to realize chaos synchronization better. The typical numerical example is given to demonstrate the effectiveness of the result obtained.

Suggested Citation

  • Wang, Bo & Wen, Guangjun, 2009. "On the synchronization of uncertain master–slave chaotic systems with disturbance," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 145-151.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:1:p:145-151
    DOI: 10.1016/j.chaos.2007.11.019
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    References listed on IDEAS

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    1. El-Gohary, Awad & Yassen, Rizk, 2006. "Adaptive control and synchronization of a coupled dynamo system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1085-1094.
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    3. Jiang, Guo-Ping & Zheng, Wei Xing, 2005. "An LMI criterion for linear-state-feedback based chaos synchronization of a class of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 437-443.
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    5. Agiza, H.N. & Matouk, A.E., 2006. "Adaptive synchronization of Chua’s circuits with fully unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 219-227.
    6. Chen, Hsien-Keng, 2005. "Global chaos synchronization of new chaotic systems via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1245-1251.
    7. Lu, Jun Guo, 2005. "Generating chaos via decentralized linear state feedback and a class of nonlinear functions," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 403-413.
    8. Haeri, Mohammad & Emadzadeh, Amir Abbas, 2007. "Synchronizing different chaotic systems using active sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 119-129.
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    2. Qijia Yao & Hadi Jahanshahi & Stelios Bekiros & Jinping Liu & Abdullah A. Al-Barakati, 2023. "Fixed-Time Adaptive Chaotic Control for Permanent Magnet Synchronous Motor Subject to Unknown Parameters and Perturbations," Mathematics, MDPI, vol. 11(14), pages 1-14, July.

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