NONLINEAR DYNAMICS AND CONTROLLING CHAOS IN A MAGNETIC LEVITATION SYSTEM

Authors

Shun-Chang Chang, Department of Mechanical and Automation Engineering, Da-Yeh University, Changhua, Taiwan, R.O.C.Follow
Jui-Feng Hu, Department of Mechanical and Automation Engineering, Da-Yeh University, Changhua, Taiwan, R.O.C
Yeou-Feng Lue, Department of Industrial Education, National Taiwan Normal University, Taipei, Taiwan, R.O.C.

Abstract

This investigation verifies the chaos motion of a magnetic 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 Poincaré maps, phase portraits, time responses, and frequency spectra. The results reveal that due to the realistic nonlinear characteristics of magnetic forces, perioddoubling bifurcation has been observed to lead to chaos. Chaotic behavior is verified using Lyapunov exponents and Lyapunov dimensions. Finally, we propose a state feedback control technique for the effective control of a chaotic magnetic levitation system. Some simulation results are presented to demonstrate the feasibility of the proposed approach.

Recommended Citation

Chang, Shun-Chang; Hu, Jui-Feng; and Lue, Yeou-Feng (2018) "NONLINEAR DYNAMICS AND CONTROLLING CHAOS IN A MAGNETIC LEVITATION SYSTEM," Journal of Marine Science and Technology: Vol. 26: Iss. 4, Article 13.
DOI: 10.6119/JMST.201808_26(4).0013
Available at: https://jmstt.ntou.edu.tw/journal/vol26/iss4/13