Skip to main content
Log in

Controller design with high fidelity model for a passive maglev tray system

  • Published:
International Journal of Precision Engineering and Manufacturing Aims and scope Submit manuscript

Abstract

Usually, in controller design for maglev systems, only the dynamics of the magnet and the levitating object are modeled. However, reference frames, such as rails for maglev trains or magnet frames for a maglev tray system, are assumed as rigid bodies even though they have compliances. This is because the modeling of reference frames based on their design is not simple as the modeling of magnets or levitating objects. Therefore, the compliances of the reference frames are implicitly considered during the controller tuning process. Undoubtedly, controllers designed with better fidelity of system model will show better performance. This study presents an experimental way of achieving a model of a reference frame through impact tests and discusses the benefits of having a higher fidelity model in control design. The exemplary system is a passive maglev tray. Least Quadratic Regulator (LQR) control design is used to show the benefits of having a higher fidelity model. To verify the controllers in several conditions, the passive maglev tray system is designed and manufactured. Through several tests with several conditions, we will provide some suggestions for controller design of maglev systems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Seo, S. I., Lee, M. K., Kim, S. J., and Kim, N., “Robust Optimum Design of a Bearingless Rotation Motor using the Kriging Model,” Int. J. Precis. Eng. Manuf., Vol. 12, No. 6, pp. 1043–1050, 2011.

    Article  Google Scholar 

  2. Kim, M. S. and Kim, J. H., “Design of a Gain Scheduled PID Controller for the Precision Stage in Lithography,” Int. J. Precis. Eng. Manuf., Vol. 12, No. 6, pp. 993–1000, 2011.

    Article  Google Scholar 

  3. El Hajjaji, A. and Ouladsine, M., “Modeling and Nonlinear Control of Magnetic Levitation Systems,” IEEE Transactions on Industrial Electronics, Vol. 48, No. 4, pp. 831–838, 2001.

    Article  Google Scholar 

  4. Lee, J. D. and Duan, R. Y., “Cascade Modeling and Intelligent Control Design for an Electromagnetic Guiding System,” IEEE/ASME Transactions on Mechatronics, Vol. 16, No. 3, pp. 470–479, 2011.

    MathSciNet  Google Scholar 

  5. Charara, A., De Miras, J., and Caron, B., “Nonlinear Control of a Magnetic Levitation System without Premagnetization,” IEEE Transactions on Control Systems Technology, Vol. 4, No. 5, pp. 513–523, 1996.

    Article  Google Scholar 

  6. Sinha, P. K. and Pechev, A. N., “Nonlinear H Controllers for Electromagnetic Suspension Systems,” IEEE Transactions on Automatic Control, Vol. 49, No. 4, pp. 563–568, 2004.

    Article  MathSciNet  Google Scholar 

  7. Han, H. S., Kim, C. H., Lee, J. M., and Lee, C. W., “System Integration of a Non-Contact Conveyer using Magnetic Levitation Technology,” Proc. of IEEE International Conference on Mechatronics, pp. 708–712, 2011.

    Google Scholar 

  8. Han, H. S., Yim, B. H., Lee, N. J., Hur, Y. C., and Kim, S. S., “Effects of the Guideway's Vibrational Characteristics on the Dynamics of a Maglev Vehicle,” Vehicle System Dynamics, Vol. 47, No. 3, pp. 309–324, 2009.

    Article  Google Scholar 

  9. Zhou, K., Doyle, J. C., and Glover, K., “Robust and Optimal Control,” Prentice Hall New Jersey, pp. 91–116, 1996.

    MATH  Google Scholar 

  10. Kaloust, J., Ham, C., Siehling, J., Jongekryg, E., and Han, Q., “Nonlinear Robust Control Design for Levitation and Propulsion of a Maglev System,” Proc. of IEE Control Theory and Applications, Vol. 151, No. 4, pp. 460–464, 2004.

    Article  Google Scholar 

  11. Bittar, A. and Sales, R. M., “H 2 and H Control for Maglev Vehicles,” IEEE Control Systems, Vol. 18, No. 4, pp. 18–25, 1998.

    Article  Google Scholar 

  12. Sinha, P. K. and Pechev, A. N., “Model reference Adaptive Control of a Maglev System with Stable Maximum Descent Criterion,” Automatica, Vol. 35, No. 8, pp. 1457–1465, 1999.

    Article  MATH  MathSciNet  Google Scholar 

  13. Sinha, P. K., “Electromagnetic Suspension Dynamics & Control,” Peter Peregrinus Ltd, pp. 52–82, 1987.

    Google Scholar 

  14. Han, H. S., Yim, B. H., Lee, N. J., and Kim, Y. J., “Prediction of Ride Quality of a Maglev Vehicle using a Full Vehicle Multi-Body Dynamic Model,” Vehicle System Dynamics, Vol. 47, No. 10, pp. 1271–1286, 2009.

    Article  Google Scholar 

  15. Danfeng, Z. and Jie, L., “Analysis of the Low-Frequency Vibration of EMS Maglev Vehicles,” Proc. of IEEE International Conference on Control and Automation, pp. 3157–3161, 2007.

    Google Scholar 

  16. Yau, J. D., “Vibration Control of Maglev Vehicles Traveling Over a Flexible Guideway,” Journal of Sound and Vibration, Vol. 321, No. 1, pp. 184–200, 2009.

    Article  Google Scholar 

  17. Lee, H. W., Kim, K. C., and Lee, J., “Review of Maglev Train Technologies,” IEEE Transactions on Magnetics, Vol. 42, No. 7, pp. 1917–1925, 2006.

    Article  Google Scholar 

  18. Lewis, F. L., Vrabie, D., and Syrmos, V. L., “Optimal Control,” Wiley, 3rd Ed., pp. 297–313, 2012.

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Changsun Ahn.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Park, JW., Kim, CH., Park, D.Y. et al. Controller design with high fidelity model for a passive maglev tray system. Int. J. Precis. Eng. Manuf. 15, 1521–1528 (2014). https://doi.org/10.1007/s12541-014-0500-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12541-014-0500-0

Keywords

Navigation