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Nonlinear rule-based controller for chaos synchronization of two gyros with linear-plus-cubic damping

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  • Yau, Her-Terng

Abstract

In this paper we show how the chaotic behavior of two nonlinear gyros can be synchronized via fuzzy logic controller. Based on Lyapunov stability theory and fuzzy rules, the nonlinear controller and some generic sufficient conditions for global asymptotic synchronization are attained. We directly construct the fuzzy rules subject to a common Lyapunov function such that the error dynamics of two identical chaotic motions of symmetric gyros satisfy stability in the Lyapunov sense. It overcomes the trial-and-error tuning for the membership functions and rule base in traditional fuzzy logic control (FLC). Numerical simulation results demonstrate the validity and feasibility of the proposed controller.

Suggested Citation

  • Yau, Her-Terng, 2007. "Nonlinear rule-based controller for chaos synchronization of two gyros with linear-plus-cubic damping," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1357-1365.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:4:p:1357-1365
    DOI: 10.1016/j.chaos.2006.04.016
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    References listed on IDEAS

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    1. Park, Ju H., 2006. "Synchronization of Genesio chaotic system via backstepping approach," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1369-1375.
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    Cited by:

    1. Shang, Li-Jen & Shyu, Kuo-Kai, 2009. "A method for extracting chaotic signal from noisy environment," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1120-1125.
    2. Lin, Shih-Lin & Tung, Pi-Cheng, 2009. "A new method for chaos control in communication systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3234-3241.
    3. Qin, Weiyang & Yang, Yongfen & Kang, Zhaohui & Ren, Xingmin, 2009. "Controlling chaos and response of dynamical system by synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1466-1473.

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