DOI QR코드

DOI QR Code

A Study on the Controller Design for Active Vibration Control of flexible Cantilever Beam using Electromagnetic Actuators.

전자석 작동기를 이용한 유연 외팔보의 능동 진동 제어를 위한 제어기 설계에 관한 연구

  • 최수영 (삼성전자 스토리지사업부) ;
  • 정준홍 (성균관대학교 정보통신공학부) ;
  • 박기헌 (성균관대학교 정보통신공학부)
  • Published : 2004.01.01

Abstract

This paper is concerned with the active vibration control of flexible cantilever beam system using electromagnetic farce actuator. The main objective of this paper is to propose the control algorithms and to implement the experimental setups for active vibration control. Dynamic equations of the electromagnetic actuator and the beam are combined to find the transfer function from the electromagnetic actuator to the laser sensor. The final transfer function is determined by considering only the first and second modes, and experiments confirm that this model works well. Several control algorithms are proposed and implemented on the experimental setups to show their efficacy. These include a PID control design, an optimal H$_2$ control design, and a fuzzy PID control design. Effectiveness and performance of the designed controller were verified by both simulation and experiment results.

References

  1. C. C. Lee, 'Fuzzy logic in control systems : fuzzy logic controller-part I${\cdot}$II', IEEE Transactions on Systems, Man, and Cybernetics, vol. 20, no. 2, pp. 404-435, March/April 1990 https://doi.org/10.1109/21.52551
  2. 최수영, '전자석과 압전체를 이용한 유연 구조물의 능동 진동 제어에 관한 연구', 성균관대학교 공학 박사학위 논문, 2002
  3. A. Preumont, Vibration control of active structures, Kluwer Academic publishers, Dordrecht, 1997
  4. The Math Works, Inc., MATLAB & SIMULINK User's Guide For Microsoft Windows, 1996
  5. J. C. Doyle, K. Glover, P. P. Khargonekar, and B. A. Francis, 'State space solutions to standard $H_2$ and $H_{\infty}$ control problems', IEEE Transactions on automatic control, vol. 34, pp. 831-847, 1989 https://doi.org/10.1109/9.29425
  6. Z. Y. Zhao, M. Tomizuka, and Isaka, 'Fuzzy gain scheduling of PID controllers', IEEE Transactions on Systems, Man, and Cybernetics, vol. 23, no. 5, pp. 1392-1398, 1993 https://doi.org/10.1109/21.260670
  7. Su. Hong, S. Rakheja, and T. S. Sankar, 'Vibration-isolation characteristics of an active electromagnetic force generator and the influence of generator dynamics', Journal of Vibration and Acoustics, vol. 112, pp. 8-15, 1990 https://doi.org/10.1115/1.2930104
  8. 신응수, 정규원, 이용호, 박종성, '전자석 작동기를 이용한 미소진동의 능동제어', 충북대학교 생산 과학 기술연구소 논문집, 제 12 권, 제 1 호, pp. 297-304, 1998
  9. 손태규, 김용규, 유원희, 박영필, '전자기력을 이용한 능동제진에 관한 연구', 대한 기계학회 논문집, 제 18 권, 제 5 호, pp. 1169-1181, 1994
  10. Meirovitch Leonard, Elements of vibration analysis, McGraw-Hill, 1986
  11. Y. Okada, K. Matsumoto, and K. Matsuda, 'Vibration control of thin steel sheet using flux feedback magnetic actuator', MOVIC '98, Zurich, Switzerland, vol. 3, pp. 1057-1062, August 1998
  12. G. L. C. M. Abreu, J. F. Ribeiro, 'Active control of flexible structures using adaptive fuzzy controller and poiezoelectric patches', IFSA World Congress and 20th NAFIPS International Conference, vol. 3, pp. 1764-1769, 2001 https://doi.org/10.1109/NAFIPS.2001.943819
  13. R. W. Ellis, and C. D. Mote, 'A feedback vibration controller for circular saws', Journal of Dynamics Systems, Measurement and Control, vol. 107, pp. 14-48, 1979
  14. J. J. Dosch, D. J. Inman, and E. Garcia, 'A self-sensing piezoelectric actuator for collocated control', Journal of intelligent Material Systems and Structures, vol. 3, pp. 166-185, Jan 1992 https://doi.org/10.1177/1045389X9200300109
  15. N. W. Hagood, and A. Von Flotow, 'Damping of structural vibrations with piezoelectric materials and passive electrical networks', Journal of Sound and Vibrations, vol. 146, no. 2, pp. 243-268, 1991 https://doi.org/10.1016/0022-460X(91)90762-9
  16. I. N. Kar, T. Miyakura, and K. Seto, 'Bending and torsional vibration control of a flexible plate structure using H∝ based robust control law', IEEE Transactions on Control System Technology, vol. 8, no. 3, pp. 545-553, May 2000 https://doi.org/10.1109/87.845884
  17. F. Khorrami, I. J. Zeinoun, J. J. Jr. Bongiorno, and S. Nourbakhsh, 'Application of $H_2$ design for vibration damping and pointing of flexible structures with embedded active materials', Proceedings of American Control Conference, Seattle, WA, pp. 4178-4182, June 1995
  18. K. Matsuda, M. Yoshihashi, Y. Okada, and A. C. Tan, 'Self-sensing active suppression of vibration of flexible steel sheet', Journal of Vibration and Accoustics, vol. 118, pp. 469-473, July 1996 https://doi.org/10.1115/1.2888207