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http://dx.doi.org/10.5370/JEET.2008.3.4.584

A New Model of Magnetic Force in Magnetic Levitation Systems  

Lee, Y.S. (MOCIE(Ministry of Commerce, Industry, and Energy))
Yang, J.H. (School of Electrical Engineering, Inha University)
Shim, S.Y. (School of Electrical Engineering, Inha University)
Publication Information
Journal of Electrical Engineering and Technology / v.3, no.4, 2008 , pp. 584-592 More about this Journal
Abstract
In this paper, we propose a new model of the magnetic control force exerted on the levitation object in magnetic levitation systems. The model assumes that the magnetic force is a function of the voltage applied to an electromagnet and the position of a levitation object. The function is not explicitly expressed but represented through a 2D lookup table constructed from the experimentally measured data. Unlike the conventional model that reveals only local characteristics of the magnetic force, the proposed model shows global characteristics satisfactorily. Specially devised measurement equipment is utilized in order to gather the data required for model construction. An experimental procedure to construct the model is presented. We apply the proposed model to designing a sliding mode controller for a lab-built magnetic system. The validity of the proposed model is illustrated by comparing the performances of the controller adopting the conventional model with that of the controller adopting the proposed model.
Keywords
2D Lookup table; Magnetic force; Magnetic Levitation System; Sliding Mode Control;
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1 D.L. Trumper, 'Linearizing control of magnetic suspension systems,' IEEE Transactions on Control Systems Technology, Vol. 5, No. 4, pp. 427-438, 1997   DOI   ScienceOn
2 M. Dussaux, 'The industrial applications of the active magnetic bearings technology,' Proceedings of the 2nd Int. Symp. Magnetic Bearings, pp. 33-38, 1990
3 B.Z. Kaplan and D. Redev, 'Dynamic stabilization of tuned-circuit levitators,' IEEE Transactions on Magnetics, Vol. Mag-12, pp. 556-559, 1976
4 N.F. Al-Muthairi and M. Zribi, 'Sliding control of a magnetic levitation system,' Mathematical Problems in Engineering, Vol. 2, pp. 93-104, 2004
5 D. Cho, Y. Kato and D. Spilman., 'Sliding mode and classical control magnetic levitations systems,' IEEE Control Systems Magazine, Vol. 13, pp. 42-48, 1993   DOI
6 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, 2002
7 V.I. Utkin, 'Variable structure systems with sliding mode,' IEEE Trans. Auto. Control, Vol. AC-22, pp. 212-222, 1977
8 Z.J. Yang and M. Tateishi, 'Adaptive robust nonlinear control of a magnetic levitation system,' Automatica, Vol. 37, pp. 1125-1131, 2001   DOI   ScienceOn
9 J.E. Pad, 'State variable constraints on the performance of optimal Maglev suspension controllers,' Proceedings of IEEE Conf. Control Applications, pp. 124-127, 1994
10 P.S. Shiakolas, S.R. Van 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, 2004   DOI   ScienceOn
11 J.E. Slotine and W. Li, Applied Nonlinear Control, Prentice-Hall, 1991
12 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, 1990   DOI
13 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, 2007   DOI   ScienceOn
14 M. Fujita and T. Namerikawa, '${\mu}$-Synthesis of an electromagnetic suspension systems,' IEEE Transactions on Automatic Control, Vol. 40, No. 3, pp. 530-536, 1995   DOI   ScienceOn
15 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, 2001   DOI   ScienceOn