International Journal of Aeronautical and Space Sciences

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
권호 표지
DOI QR코드

DOI QR Code

Least Squares Based PID Control of an Electromagnetic Suspension System

  • Park, Yon-Mook (Division of Aerospace Engineering Department of Mechanical Engineering Korea Advanced Institute of Science and Technology) ;
  • Tahk, Min-Jea (Division of Aerospace Engineering Department of Mechanical Engineering Korea Advanced Institute of Science and Technology) ;
  • Nam, Myeong-Ryong (Satellite Technology Research Center Korea Advanced Institute of Science and Technology) ;
  • Seo, In-Ho (Satellite Technology Research Center Korea Advanced Institute of Science and Technology) ;
  • Lee, Sang-Hyun (Satellite Technology Research Center Korea Advanced Institute of Science and Technology) ;
  • Lim, Jong-Tae (Division of Electrical Engineering Department of Electrical Engineering & Computer Science Korea Advanced Institute of Science and Technology)
  • Published : 2003.11.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we develop the so-called functional test model for magnetic bearing wheels. The functional test model developed in this paper is a kind of electromagnetic suspension systems and has three degree of freedom, which consists of one axial suspension from gravity and the other two axes gimbaling capability to small angle, and does not include the motor. For the control of the functional test model, we derive the optimal electromagnetic forces based on the least squares method, and use the proportional-integral derivative controller. Then, we develop a hardware setup, which mainly consists of the digital signal processor and the 12-bit analog-to-digital and digital-to-analog converters, and show the experimental results.

Keywords

References

  1. Bichler, U. J., "A double gimbaled magnetic bearing momentum wheel for high pomtmg accuracy and vibration sensitive space appEcations," Proceedings of the 1st ESA Int. Canf. on Spacecraft Guidance, Navigation and Contr. Syst, Noordwijk, Netherlands, June, 1991, pp. 393-398.
  2. Horiuchi. Y., Inoue, M., Sato, N., Hashimoto, T., and Ninomiya, K, "Development of magnetic bearing momentum wheel for ultra-precision spacecraft attitude control," Proceedings of the 7th Int. Symp. on Magn. Bearings, Zurich, Switzerland, Aug., 2000, pp. 525-530.
  3. Matsumura, F., Namerikawa, T., Hagiwara, K., and Fujita, M., "Application of gain scheduled $H_{\infty}$ robust controllers to a magnetic bearing," IEEE Trans. Contr. Syst. Technol., Vol. 4, No. 5, 1996, pp. 484-493. https://doi.org/10.1109/87.531915
  4. Nonami, K., and Ito, T., "${\mu}$ synthesis of flexible rotor-magnetic bearing systems," IEEE Trans. Contr. Syst. Technol., Vol. 4, No. 5, 1996, pp. 503-512. https://doi.org/10.1109/87.531917
  5. De Queiroz, M. S., and Dawson, D. M., "Nonlinear control of active magnetic bearings: A backstepping approach," IEEE Trans. Contr. Syst. Technol., Vol. 4, No. 5, 1996, pp. 545-552. https://doi.org/10.1109/87.531920
  6. Nam, M.- R., Hashimoto, T., and Ninomiya, K., "Design of $H_{\infty}$ attitude controllers for spacecraft using a magnetically suspended momentum wheel," Eur. J. Contr., Vol. 3, 1997, pp. 114-124. https://doi.org/10.1016/S0947-3580(97)70070-0
  7. Nam, M.-R., Hashimoto, T., and Ninomiya, K., "Control system design to cope with non-linearities of a magnetically suspended momentum wheel for satellites," Proceedings of the 1st Int. Conf. on Non-linear Problems in Aviation and Aerospace, Florida, USA, May, 1996, pp. 513-517.
  8. Nam, M.-R., Hashimoto, T., and Ninomiya, K., "Combined application of $H_{\infty}$ and sliding mode theories to attitude control of a satellite," Proceedings of the 2nd Asian Contr. Conf., Seoul, Korea, July, 1997, pp. 827-830.
  9. Trumper, D. L., Olson, S. M., and Subrahmanyan, P. K., "Linearizing control of magnetic suspension systems," IEEE Trans. Contr. Syst. Technol., Vol. 5, No. 4. 1997, pp. 427-438. https://doi.org/10.1109/87.595924
  10. Hong, S.- K., and Langari, R,, "Robust fuzzy control of a magnetic bearing system subject to harmonic disturbances," IEEE Trans. Contr. Syst. Technol., Vol. 8. No. 2, 2000, pp. 366-371. https://doi.org/10.1109/87.826808
  11. Leon, S. J., Linear Algebra with Applications, Prentice-Hall, Singapore. 1995.
  12. Bichler, U. J., "A low noise magnetic bearing wheel for space application," Proceedings of the 2nd Int. Symp. Magn. Bearings, Tokyo, Japan, July, 1990, pp. 1-8.
  13. Herzog, R., Buhler, P., Gahler, C., and Larsonneur, R., "Unbalance compensation using generalized notch filters in the multi variable feedback of magnetic bearings," IEEE Trans. Contr. Syst. Technol., Vol. 4, No. 5. 1996, pp. 580-586. https://doi.org/10.1109/87.531924

Cited by

  1. Nonlinear Control of an Electromagnetic Levitation System Using High-gain Observers for Mmagnetic Bearing Wheels vol.15, pp.6, 2009, https://doi.org/10.5302/J.ICROS.2009.15.6.573