A New Model of Magnetic Force in Magnetic Levitation Systems

Title & Authors
A New Model of Magnetic Force in Magnetic Levitation Systems
Lee, Y.S.; Yang, J.H.; Shim, S.Y.;

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;
Language
English
Cited by
1.
A Novel High Precision Electromagnetic Suspension for Long-Stroke Movement and Its Performance Evaluation,;;;;;;;

Journal of Electrical Engineering and Technology, 2014. vol.9. 2, pp.514-522
1.
A Novel High Precision Electromagnetic Suspension for Long-Stroke Movement and Its Performance Evaluation, Journal of Electrical Engineering and Technology, 2014, 9, 2, 514
2.
Prototype of 6-DOF Magnetically Levitated Stage Based on Single Axis Lorentz force Actuator, Journal of Electrical Engineering and Technology, 2016, 11, 5, 1216
References
1.
N.F. Al-Muthairi and M. Zribi, 'Sliding control of a magnetic levitation system,' Mathematical Problems in Engineering, Vol. 2, pp. 93-104, 2004

2.
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

3.
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

4.
M. Dussaux, 'The industrial applications of the active magnetic bearings technology,' Proceedings of the 2nd Int. Symp. Magnetic Bearings, pp. 33-38, 1990

5.
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

6.
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

7.
B.Z. Kaplan and D. Redev, 'Dynamic stabilization of tuned-circuit levitators,' IEEE Transactions on Magnetics, Vol. Mag-12, pp. 556-559, 1976

8.
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

9.
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

10.
J.E. Pad, 'State variable constraints on the performance of optimal Maglev suspension controllers,' Proceedings of IEEE Conf. Control Applications, pp. 124-127, 1994

11.
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

12.
J.E. Slotine and W. Li, Applied Nonlinear Control, Prentice-Hall, 1991

13.
D.L. Trumper, 'Linearizing control of magnetic suspension systems,' IEEE Transactions on Control Systems Technology, Vol. 5, No. 4, pp. 427-438, 1997

14.
V.I. Utkin, 'Variable structure systems with sliding mode,' IEEE Trans. Auto. Control, Vol. AC-22, pp. 212-222, 1977

15.
Z.J. Yang and M. Tateishi, 'Adaptive robust nonlinear control of a magnetic levitation system,' Automatica, Vol. 37, pp. 1125-1131, 2001