Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Development of Magnetic Force Modeling Equipment for Magnetic Levitation Systems

자기부상시스템의 자기력 모델링 시스템 개발

  • Received : 2010.11.17
  • Accepted : 2011.02.19
  • Published : 2011.04.01
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Abstract

This paper proposes an equipment and an algorithm for modeling the magnetic force of electromagnets in magnetic levitation systems. We assume that the magnetic force model is represented in terms of a 2D lookup table. The 2D lookup table is constructed by applying noncausal filtering and interpolation to data measured by the proposed modeling equipment. The proposed modeling equipment is designed such that it can measure the magnetic force exerted on the levitation object while it changes the voltage applied to the electromagnet and position of the levitation object. The algorithm of making a 2D lookup table has two stages. The data measured by the proposed modeling equipment is smoothed by a noncausal filter and then the 2D lookup table is obtained by interpolating filtered data. The proposed modeling method has advantages of time-saving, model consistency, and chance of automation for mass production. We show the validity of proposed method through control experiments.

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References

  1. B. Z. Kaplan and D. Redev, "Dynamic stabilization of tuned-circuit levitators," IEEE Transactions on Magnetics, MAG-12, pp. 556-559, Sep. 1976. https://doi.org/10.1109/TMAG.1976.1059092
  2. D. A. Limbert, H. H. Richardson, and D. N. Wormley, "Controlled characteristics of ferromagnetic vehicle suspension providing simultaneous lift and guidance," Trans. ASME, J. Dyn. Syst. Meas. Control, vol. 101, pp. 217-222, Sep. 1979. https://doi.org/10.1115/1.3426428
  3. F. J. Lin, L. T. Teng, and P. H. Sheh, "Intelligent adaptive backstepping control system for magnetic levitation apparatus," IEEE Transactions on Magnetics, vol. 43, no. 5, pp. 2009-2018, May. 2007. https://doi.org/10.1109/TMAG.2006.890325
  4. J. E. Pad, "State variable constraints on the performance of optimal maglev suspension controllers," Proc. of IEEE Conf. Control Applications, pp. 124-127, Aug. 1994. https://doi.org/10.1109/CCA.1994.381399
  5. P. S. Shiakolas and D. Piyabongkarn, "Development of a real-time digital control system with a hardware-in-the-loop magnetic levitation device for reinforcement of controls education," IEEE Transactions on Education, vol. 46, no. 1, pp. 79-87, Feb. 2003. https://doi.org/10.1109/TE.2002.808268
  6. P. S. Shiakolas, S. R. V. Schenck, D. Piyabongkarn, and I. Frangeskou, "Magnetic levitation hardware-in-the-loop and matlab-based experiment for reinforcement of neural network control concepts," IEEE Trans. Edu., vol. 47, pp. 33-41, Feb. 2004. https://doi.org/10.1109/TE.2003.817616
  7. D. Cho, Y. Kato, and D. Spilman, "Sliding mode and classical control magnetic levitations systems," IEEE Control Systems Magazine, vol. 13, pp. 42-48, Feb. 1993. https://doi.org/10.1109/37.184792
  8. A. E. Hajjaji and M. Ouladsine, "Modeling and nonlinear control of magnetic levitation systems," IEEE Transactions on industrial Electronics, vol. 48, no. 4, pp. 831-838, Aug. 2001. https://doi.org/10.1109/41.937416
  9. Z. J. Yang, Y. Fukushima, S. Kanae, and K. Wada, "Robust non-linear output-feedback control of a magnetic levitation system by k-filter approach," IET Control Theory & Applications, vol. 3, no. 7, pp. 852-864, July 2009. https://doi.org/10.1049/iet-cta.2008.0253
  10. Z. J. Yang, Y. Fukushima, S. Kanae, and K. Wada, "Adaptive robust output-feedback control of a magnetic levitation system by k-filter approach," IEEE Trans. Industrial, vol. 55, no. 1, pp. 390-399, Jan. 2008. https://doi.org/10.1109/TIE.2007.896488
  11. Z. J. Yang and M. Tateishi, "Adaptive robust nonlinear control of a magnetic levitation system," Automatica, vol. 37, pp. 1125-1131, May 2001. https://doi.org/10.1016/S0005-1098(01)00063-2
  12. J. H. Yang, T. S. Kim, S. Y. Shim, Y. S. Lee, and O. K. Kwon, "Actuator and sensor modeling for magnetic levitation system," Proc. Int. Conf. Control, Automation and Systems ICCAS '07, pp. 917-922, Oct. 2007.
  13. M. Fujita and T. Namerikawa, "${\mu}$-synthesis of an electromagnetic suspension systems," IEEE Transactions on Automatic Control, vol. 40, no. 30, pp. 530-536, Mar. 1995. https://doi.org/10.1109/9.376075
  14. D. L. Trumper, "Linearizing control of magnetic suspension systems," IEEE Transactions on control Systems Technology, vol. 5, no. 4, pp. 427-438, July 1997. https://doi.org/10.1109/87.595924
  15. J.S. Choi and Y. S. Baek, "A single dof magnetic levitation system using time delay control and reduced-order observer," KSME International Journal, vol. 16, no. 12, pp. 1643-1651, Dec. 2002.

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