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Spectrum optimization-based chaotification using time-delay feedback control

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  • Zhou, Jiaxi
  • Xu, Daolin
  • Zhang, Jing
  • Liu, Chunrong

Abstract

In this paper, a spectrum optimization method is developed for chaotification in conjunction with an application in line spectrum reconfiguration. A key performance index (the objective function) based on Fourier spectrum is specially devised with the idea of suppressing spectrum spikes and broadening frequency band. Minimization of the index empowered by a genetic algorithm enables to locate favorable parameters of the time-delay feedback controller, by which a line spectrum of harmonic vibration can be transformed into a broad-band continuous spectrum of chaotic motion. Numerical simulations are carried out to verify the feasibility of the method and to demonstrate its effectiveness of chaotifying a 2-DOFs linear mechanical system.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:6:p:815-824
    DOI: 10.1016/j.chaos.2012.02.015
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    References listed on IDEAS

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    1. 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. 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.

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