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Adaptive control and synchronization of a coupled dynamo system with uncertain parameters

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  • El-Gohary, Awad
  • Yassen, Rizk

Abstract

This paper treats the adaptive control and synchronization of the coupled dynamo system with unknown parameters. Based on the Lyapunov stability technique, an adaptive control laws are derived such that the coupled dynamo system is asymptotically stable and the two identical dynamo systems are asymptotically synchronized. Also the update rules of the unknown parameters are derived. Finally, numerical simulation of the controlled and synchronized systems are presented.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:5:p:1085-1094
    DOI: 10.1016/j.chaos.2005.08.215
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    References listed on IDEAS

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    1. El-Gohary, Awad & Sarhan, Ammar, 2006. "Optimal control and synchronization of Lorenz system with complete unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1122-1132.
    2. El-Gohary, Awad, 2006. "Optimal synchronization of Rössler system with complete uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 345-355.
    3. Yan, Jianping & Li, Changpin, 2005. "On synchronization of three chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1683-1688.
    4. Chen, Hsien-Keng, 2005. "Global chaos synchronization of new chaotic systems via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1245-1251.
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    Cited by:

    1. Sun, Fengyun & Zhao, Yi & Zhou, Tianshou, 2007. "Identify fully uncertain parameters and design controllers based on synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1677-1682.
    2. Du, Shengzhi & van Wyk, Barend J. & Qi, Guoyuan & Tu, Chunling, 2009. "Chaotic system synchronization with an unknown master model using a hybrid HOD active control approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1900-1913.
    3. Wang, Jiang & Zhang, Zhen & Li, Huiyan, 2008. "Synchronization of FitzHugh–Nagumo systems in EES via H∞ variable universe adaptive fuzzy control," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1332-1339.
    4. 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.
    5. El-Gohary, Awad & Yassen, Rizk, 2009. "Chaos and optimal control of a coupled dynamo with different time horizons," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 698-710.

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