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Investigation on evolutionary optimization of chaos control

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  • Zelinka, Ivan
  • Senkerik, Roman
  • Navratil, Eduard

Abstract

This work deals with an investigation on optimization of the feedback control of chaos based on the use of evolutionary algorithms. The main objective is to show that evolutionary algorithms are capable of optimization of chaos control. As models of deterministic chaotic systems, one-dimensional Logistic equation and two-dimensional Henon map were used. The optimizations were realized in several ways, each one for another set of parameters of evolution algorithms or separate cost functions. The evolutionary algorithm SOMA (self-organizing migrating algorithm) was used in four versions. For each version simulations were repeated several times to show and check for robustness of the applied method.

Suggested Citation

  • Zelinka, Ivan & Senkerik, Roman & Navratil, Eduard, 2009. "Investigation on evolutionary optimization of chaos control," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 111-129.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:1:p:111-129
    DOI: 10.1016/j.chaos.2007.07.045
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    References listed on IDEAS

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    1. Zheng, Yongai, 2006. "Controlling chaos based on an adaptive adjustment mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1069-1073.
    2. Chen, Bing & Liu, Xiaoping & Tong, Shaocheng, 2007. "Adaptive fuzzy approach to control unified chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1180-1187.
    3. 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.
    4. Salarieh, Hassan & Shahrokhi, Mohammad, 2007. "Indirect adaptive control of discrete chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1188-1201.
    5. Wu, Cunli & Fang, Tong & Rong, Haiwu, 2007. "Chaos synchronization of two stochastic Duffing oscillators by feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1201-1207.
    6. Mohammad Shahrokhi, 2011. "Adaptive Control of Chaos," Chapters, in: Esteban Tlelo-Cuautle (ed.), Chaotic Systems, IntechOpen.
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    Cited by:

    1. dos Santos Coelho, Leandro, 2009. "Self-organizing migration algorithm applied to machining allocation of clutch assembly," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(2), pages 427-435.

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