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  • 會議論文

Supression of Chaos in a Magnetically Levitated System

抑制磁浮系統之渾沌行為

摘要


本篇論文主要研究磁浮球的非線性動態與混沌控制。以里亞普諾方法來判定渾沌行為是否會發生?再以抖振控制法來抑制渾沌行為於磁浮球的發生。最後,以數值模擬結果來驗證本控制方法之有效性。

關鍵字

磁浮 分歧 混沌 里亞普諾法 抖振

並列摘要


This investigation verified the chaos motion of a magnetic ball levitation system with a ferromagnetic ball suspended in a voltage-controlled magnetic field, and explains a system for chaotic control. Then, 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 to lead to chaos. Next, the largest Lyapunov exponent analysis is 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. (2013). 抑制磁浮球系統的渾沌運動. 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. 328-335). 中華民國振動與噪音工程學會. https://www.airitilibrary.com/Article/Detail?DocID=a0000192-201306-201403070011-201403070011-328-335
  • Li, J. H. (2014). 磁場感測磁浮系統之模糊比例微分型控制與分析. 技術學刊, 29(2), 153-160. https://www.airitilibrary.com/Article/Detail?DocID=10123407-201406-201406170012-201406170012-153-160
  • 姚秉呈(2012)。磁浮系統之灰預測模糊控制研究〔碩士論文,崑山科技大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0025-2606201209465900
  • 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
  • 謝適鴻(1995)。磁浮平台水平定位系統之研究〔碩士論文,元智大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0009-0112200611362639