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Identify fully uncertain parameters and design controllers based on synchronization

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  • Sun, Fengyun
  • Zhao, Yi
  • Zhou, Tianshou

Abstract

For a chaotic system with specified structure, all unknown model parameters can be simultaneously identified by a simple combination of adaptive scheme and linear feedback. Furthermore, based on the Lyapunov stability theory, a sufficient condition for chaos synchronization is derived analytically, which guarantees that the system with fully uncertain parameters and the controlled system achieve chaos synchronization. Numerical simulations are presented for demonstration.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:5:p:1677-1682
    DOI: 10.1016/j.chaos.2006.04.062
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    References listed on IDEAS

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    1. Feng, Jianwen & Chen, Shihua & Wang, Changping, 2005. "Adaptive synchronization of uncertain hyperchaotic systems based on parameter identification," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1163-1169.
    2. Fotsin, H.B. & Woafo, P., 2005. "Adaptive synchronization of a modified and uncertain chaotic Van der Pol-Duffing oscillator based on parameter identification," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1363-1371.
    3. 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.
    4. Park, Ju H. & Kwon, O., 2005. "Controlling uncertain neutral dynamic systems with delay in control input," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 805-812.
    5. Čelikovský, Sergej & Chen, Guanrong, 2005. "On the generalized Lorenz canonical form," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1271-1276.
    6. El-Gohary, Awad, 2006. "Optimal synchronization of Rössler system with complete uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 345-355.
    7. Park, Ju H., 2005. "Adaptive synchronization of Rossler system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 333-338.
    8. Park, Ju H., 2005. "Adaptive synchronization of hyperchaotic Chen system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 959-964.
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