Spectrum optimization-based chaotification using time-delay feedback control

Jiaxi Zhou, Daolin Xu, Jing Zhang and Chunrong Liu

Chaos, Solitons & Fractals, 2012, vol. 45, issue 6, 815-824

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:45:y:2012:i:6:p:815-824

DOI: 10.1016/j.chaos.2012.02.015

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