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  • 會議論文

Suppressing Chaos for a Magnetically Levitated Ball System

抑制磁浮球系統的渾沌運動

摘要


本篇論文主要研究磁浮球系統的渾沌動態與控制之研究。以里亞普諾方法來確認渾沌行為是否會發生。再以抖振訊號來抑制渾沌行為於磁浮球系統的發生。最後,以數值模擬結果來驗證本控制方法之有效性。

並列摘要


This study verified chaos motion of a magnetically levitated ball suspended and then elucidated a system for chaotic control. The detailed dynamic behaviors are numerically investigated by means of Poincare maps, phase portraits, time responses and frequency spectra. The results reveal that, due to the realistic nonlinear characteristics of magnetic forces, period-doubling bifurcation has been observed that lead to chaos. The largest Lyapunov exponent analysis is also used to identify the onset of chaotic motion. Finally, a technique for effectively controlling a chaotic magnetic levitation system will be offered. It involves employing an external input, called a dither signal, to the system. Some simulation results are presented to demonstrate the feasibility of the developed approach.

延伸閱讀


  • Chang, S. C., & Hu, J. F. (2015). 抑制磁浮系統之渾沌行為. In 中華民國振動與噪音工程學會 (Ed.), 中華民國振動與噪音工程學會論文集 (pp. 417-423). 中華民國振動與噪音工程學會. https://www.airitilibrary.com/Article/Detail?DocID=a0000192-201506-201509220005-201509220005-417-423
  • Fan, C. C. (2011). 使用電磁致動器消除流體引發不穩定及乾颤之研究 [doctoral dissertation, National Central University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0031-1903201314415151
  • Lin, M. H., & Chen, C. T. (2007). 磁力效應對強制對流流經平板邊界層渦流不穩定之研究. 中國機械工程學刊, 28(5), 503-511. https://doi.org/10.29979/JCSME.200710.0005
  • 劉建宏(2005)。磁浮球系統製作與控制〔碩士論文,崑山科技大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0025-0306200810402036
  • 李文琪、林益煌、蔡耀坤、游祥杰、朱志良(2005)。磁浮轉子系統之適應振動控制。載於中華民國振動與噪音工程學會(主編),中華民國振動與噪音工程學會論文集(頁76-81)。中華民國振動與噪音工程學會。https://doi.org/10.30028/CSSVANNUAL.200506.0076