A study of the nonlinear response and chaos suppression in a magnetically levitated system

Shun Chang Chang, Yeou Feng Lue

研究成果: 雜誌貢獻文章同行評審

1 引文 斯高帕斯(Scopus)

摘要

This study employed a variety of nonlinear dynamic analysis techniques to explore the complex phenomena associated with a magnetically levitated system involving a suspended ferromagnetic ball. The aim was to develop a method with which to assume control over chaotic behaviour. Rich dynamics were investigated numerically using Poincare maps, phase portraits, time responses and frequency spectra. Our results reveal that the nonlinear characteristics of magnetic forces cause period-doubling bifurcations which can lead to chaotic motion. Analysis based on the largest Lyapunov exponent was also used to identify the onset of chaotic motion. Finally, a continuous feedback control method based on synchronisation characteristics was developed for the suppression of chaotic oscillations. Simulation results support the feasibility of the proposed method. Finally, some robustness analysis of parametric perturbation on a maglev system with synchronisation control is confirmed by Lyapunov stability theory and numerical simulations.

原文英語
頁(從 - 到)94-105
頁數12
期刊Australian Journal of Mechanical Engineering
18
發行號1
DOIs
出版狀態已發佈 - 2020 一月 2

ASJC Scopus subject areas

  • Mechanical Engineering

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