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Partial synchronization of different chaotic oscillators using robust PID feedback

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  • Aguilar-López, Ricardo
  • Martinez-Guerra, Rafael

Abstract

This work deals with the partial synchronization problem of two different chaotic oscillators considering model uncertainties in the slave system via control approach. The slave system is forced to follow the master signal via a linearizing controller based on model uncertainty reconstructor which leads to proportional–integral–derivative (PID) control structure. This reconstructor is related with a proportional–derivative (PD) reduced-order observer, it would be considered as a sub-slave system for the original slave of the synchronization procedure. The asymptotic performance of the synchronization methodology is proven via the dynamic of the synchronization error. Numerical experiment illustrates the closed-loop behavior of the proposed methodology.

Suggested Citation

  • Aguilar-López, Ricardo & Martinez-Guerra, Rafael, 2007. "Partial synchronization of different chaotic oscillators using robust PID feedback," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 572-581.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:2:p:572-581
    DOI: 10.1016/j.chaos.2005.12.042
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    Cited by:

    1. Coelho, Leandro dos Santos & Bernert, Diego Luis de Andrade, 2009. "PID control design for chaotic synchronization using a tribes optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 634-640.
    2. An, Xin-Lei & Yu, Jian-Ning & Chu, Yan-Dong & Zhang, Jian-Gang & Zhang, Li, 2009. "Global chaos synchronization of three coupled nonlinear autonomous systems and a novel method of chaos encryption," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 865-873.
    3. Zhu, Hui & Li, Lixiang & Zhao, Ying & Guo, Yu & Yang, Yixian, 2009. "CAS algorithm-based optimum design of PID controller in AVR system," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 792-800.
    4. Li, Lixiang & Peng, Haipeng & Yang, Yixian & Wang, Xiangdong, 2009. "On the chaotic synchronization of Lorenz systems with time-varying lags," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 783-794.
    5. Santos Coelho, Leandro dos & de Andrade Bernert, Diego Luis, 2009. "An improved harmony search algorithm for synchronization of discrete-time chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2526-2532.

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