Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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A Single DOF Magnetic Levitation System using Time Delay Control and Reduced-Order Observer

  • Park, Jung-Soo (Department of Mechanical Engineering, Yonsei University) ;
  • Baek, Yoon-Su (School of Electrical & Mechanical Engineering, Yonsei University)
  • Published : 2002.12.01
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Abstract

Magnetic levitation systems are required to have a large operating range in many applications. As one method to solve this problem, Time Delay Control (TDC) is applied to a single-axis magnetic levitation system in this paper A reduced-order observer is utilized to estimate states excluding measurable states in the control law. The system consists of a square air-core solenoid and a circular permanent magnet attached on a plastic ball. Theoretical magnetic forces of the system are obtained on the basis of the location of the magnet around the solenoid. The magnetic levitation force is obtained by the experiment, and then compared with the theoretical one. As the results of the control experiments, the nonlinear controller (TDC : 1-2 ㎜) has a larger operating range than the linear controller (PD control : 1-1.4 ㎜), and is superior to linear. control in the robustness to the modeling uncertainty and the performance of the disturbance rejection.

Keywords

References

  1. Busch-Vishniac, I. J., 1992, 'The Case for Magnetically Driven Microactuators,' Sensors and Actuators, Vol. 33, pp. 207-220 https://doi.org/10.1016/0924-4247(92)80168-3
  2. Chang, Pyung H. and Lee, Jeong W., 1996, 'A Model Reference Observer for Time-Delay Control and Its Application to Robot Trajectory Control,' IEEE Trans. on Control Systems Technology, Vol. 4, No.1., pp.2-10 https://doi.org/10.1109/87.481761
  3. Chen, Shiaw-Jong Steve and Busch-Vishniac, I. J., 1995, 'A Magnetically Levitated, Automated, Contact Analytical Probe Tool,' IEEE Trans. on Semiconductor Manufacturing, Vol. 8, No. 1, pp.72-78 https://doi.org/10.1109/66.350759
  4. Cho, Dan, Kato, Yoshifumi, and Spilman, Darin, 1993, 'Sliding Mode and Classical Controllers in Magnetic Levitation Systems,' IEEE Trans. on Control Systems Magazine, Vol. 13, Issue 1, pp.42-48 https://doi.org/10.1109/37.184792
  5. Franklin, Gene F., Powell, J. David, and Emami-Naeini, Abbas, 1994, Feedback Control of Dynamic Systems, Addison-Wesley
  6. Kim, C. Y. and Kim, K. H., 1994, 'Gain Scheduled Control of Magnetic Suspension Systems,' in Proc. Amer. Contr. Conf., pp. 3127-3131 https://doi.org/10.1109/ACC.1994.735147
  7. Kim, Won-jong, Trumper, David L. and Lang, H., 1998, 'Modeling and Vector Control of Planar Magnetic Levitator,' IEEE Trans. on Industry Applications, Vol. 34, No.6, pp. 1254-1262 https://doi.org/10.1109/28.738999
  8. Mittal, Samir and Menq, Chi a-Hsiang, 1997, 'Precision Motion Control of a Magnetic Suspension Actuator Using a Robust Nonlinear Compensation Scheme,' IEEE/ASME Trans. on Mechatronics, Vol. 2, No.4, pp.268-280 https://doi.org/10.1109/3516.653051
  9. Slotine, Jean-Jacques E. and Li, Weiping, 1991, Applied Nonlinear Control, Prentice-Hall
  10. Son, Y. W. and Park, K. H., 1997, 'Magnetically Levitated Transport System for a Controller-Free Carrier,' KSME, Vol. 21, No. 12, pp.2196-2208
  11. Song, Jae-Bok and Byun, Kyung-Seok, 2000, 'Design of Time Delay Controller Using Variable Reference Model,' Control Engineering Practice , Vol. 8, Issue 5, pp. 581 - 588 https://doi.org/10.1016/S0967-0661(99)00189-6
  12. Tomita, Yoshiyuki and Koyanagawa, Yasushi, 1995, 'Study on a Surface-Motor Driven Precise Positioning System,' ASME Jounal of Dynamic Systems, Measurement, and Control, Vol. 117, pp.311-319 https://doi.org/10.1115/1.2799121
  13. Trumper, David L., Olson, Sean M. and Subrahmanyan, Pradeep K., 1997, 'Linearizing Control of Magnetic Suspension Systems,' IEEE Trans. on Control Systems Technology, Vol. 5, No.4, pp.427-438 https://doi.org/10.1109/87.595924
  14. Wangsness, Roald K., 1979, Electromagnetic Fields, John Wiley & Sons
  15. Youcef-Toumi, K. and Shortlidge, C. C., 1991, 'Control of robot manipulators using time delay,' in Proc. IEEE Int. Conf. Robotics and Automation, pp.2391-2398 https://doi.org/10.1109/ROBOT.1991.131761
  16. Youcef-Toumi, K. and Reddy, S., 1992, 'Dynamic Analysis and Control of High Speed and High Precision Active Magnetic Bearings,' ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 114, pp. 623-633 https://doi.org/10.1115/1.2897734
  17. Youcef-Toumi, K. and Ito, Osamu, 1990, 'A Time Delay Controller for Systems With Unknown Dynamics,' ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 112, pp. 133-142 https://doi.org/10.1115/1.2894130
  18. Youcef-Toumi, K. and Reddy, S., 1992, 'Analysis of Linear Time Invariant Systems With Time Delay,' ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 114, pp. 544- 555 https://doi.org/10.1115/1.2897722