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Robust synchronization and parameter identification on a class of uncertain chaotic systems

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  • Shen, Liqun
  • Wang, Mao

Abstract

This letter studies the robust synchronization and parameter identification problems on a class of uncertain chaotic systems with bounded time-varying unknown parameters. Based on Lyapunov stability theory, a novel robust controller and a parameter identification scheme are proposed. The proposed scheme can successfully synchronize some typical chaotic systems, such as Rössler and Lorenz chaotic systems, with their parameters also convergence to the nominal value despite the noise of the parameters. Simulation results verify the proposed scheme’s effectiveness.

Suggested Citation

  • Shen, Liqun & Wang, Mao, 2008. "Robust synchronization and parameter identification on a class of uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 106-111.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:1:p:106-111
    DOI: 10.1016/j.chaos.2006.10.042
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    References listed on IDEAS

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    1. 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.
    2. Liu, Bin & Chen, Guanrong & Teo, Kok Lay & Liu, Xinzhi, 2005. "Robust global exponential synchronization of general Lur’e chaotic systems subject to impulsive disturbances and time delays," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1629-1641.
    3. Park, Ju H., 2005. "Adaptive synchronization of Rossler system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 333-338.
    4. 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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    Cited by:

    1. Tang, Yinggan & Guan, Xinping, 2009. "Parameter estimation of chaotic system with time-delay: A differential evolution approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3132-3139.
    2. Shen, Liqun & Liu, Wanyu & Ma, Jianwei, 2009. "Robust function projective synchronization of a class of uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1292-1296.
    3. Tang, Yinggan & Guan, Xinping, 2009. "Parameter estimation for time-delay chaotic system by particle swarm optimization," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1391-1398.

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