透過您的圖書館登入
IP:3.144.48.135
  • 會議論文

Nonlinear Dynamics and Chaos Control for a Magnetic Ball Levitation

磁浮球之非線性動態與渾沌控制

摘要


本篇論文主要研究磁浮球的非線性動態與渾沌控制。以里亞普諾方法來判定渾沌行為是否會發生?再以狀態回饋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 渾沌 里亞普諾法 狀態回饋

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, we propose a state feedback control technique for the effective control of a chaotic magnetic ball levitation system. Some simulation results are presented to demonstrate the feasibility of the proposed approach.

延伸閱讀