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Chaotification of vibration isolation floating raft system via nonlinear time-delay feedback control

Author

Listed:
  • Zhang, Jing
  • Xu, Daolin
  • Zhou, Jiaxi
  • Li, Yingli

Abstract

This paper presents a chaotification method based on nonlinear time-delay feedback control for a two-dimensional vibration isolation floating raft system (VIFRS). An analytical function of nonlinear time-delay feedback control is derived. This approach can theoretically provide a systematic design of chaotification for nonlinear VIFRS and completely avoid blind and inefficient numerical search on the basis of trials and errors. Numerical simulations show that with a proper setting of control parameters the method holds the favorable aspects including the capability of chaotifying across a large range of parametric domain, the advantage of using small control and the flexibility of designing control feedback forms. The effects on chaotification performance are discussed in association with the configuration of the control parameters.

Suggested Citation

  • Zhang, Jing & Xu, Daolin & Zhou, Jiaxi & Li, Yingli, 2012. "Chaotification of vibration isolation floating raft system via nonlinear time-delay feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1255-1265.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:9:p:1255-1265
    DOI: 10.1016/j.chaos.2012.05.012
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    References listed on IDEAS

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    1. Zhou, Jiaxi & Xu, Daolin & Zhang, Jing & Liu, Chunrong, 2012. "Spectrum optimization-based chaotification using time-delay feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 45(6), pages 815-824.
    2. Lou, Jing-Jun & Zhu, Shi-Jian & He, Lin & He, Qi-Wei, 2009. "Experimental chaos in nonlinear vibration isolation system," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1367-1375.
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    Cited by:

    1. Li, Yingli & Xu, Daolin, 2016. "Spectrum reconstruction of quasi-zero stiffness floating raft systems," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 123-129.
    2. Xu, Beibei & Chen, Diyi & Zhang, Hao & Wang, Feifei, 2015. "Modeling and stability analysis of a fractional-order Francis hydro-turbine governing system," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 50-61.

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