DOI QR코드

DOI QR Code

Ripple Free Multirate Controller Design Using Lifting Technique

리프팅 기법을 이용한 리플 제거 멀티레이트 제어기 설계

  • 정동슬 (㈜이노칩테크놀러지 부설연구소) ;
  • 조규남 (삼성종합기술원) ;
  • 정정주 (한양대학교 전기제어생체공학부)
  • Published : 2007.11.01

Abstract

This paper presents ripple-free method that can occur in multirate controller design. The conventional multirate input controller has the problem that the ripple occurs in track-following because of chattering phenomenon in control input signal. In order to resolve the problem of rippling, it was proposed to eliminate the ripple phenomenon using feedforward compensator. This paper makes explains problems in conventional ripple-tree multirate controller and introduces a multirate controller design method applying lifting technique based on current estimators in condition space. Using the ripple-tree multirate controller, we show that chattering does not occur in the control input signal through applying the final value theorem from the viewpoint of discrete-time transformation. Also, this study proves that the ripple of the proposed controller decreases with the increase of this sampling frequency and, when sampling frequency is fixed, it decreases with the increase of the control input period.

Keywords

References

  1. K. L. Moore, S. P. Bhattacharyya, and M. Dahelh, 'Capabilites and limitations of multirate control schemes,' Automatica, vol. 29, no. 4,pp. 941-951, 1993 https://doi.org/10.1016/0005-1098(93)90098-E
  2. J. Tornero, Y. Gu, and M. Tomizuka, 'Analysis of multirate discerete equivalent of continuous controller,' in Pro. Amer Control Conf, pp. 2759-2763, 1999
  3. R. Chen, G. Guo, and T. S. Low, 'An intersample ripple free multirate servo controller for disk drive acutuators,' Pro. 25th Annu. Conf.IECON, vol. 3, San Jose, CA, pp. 1171-1176, 1999
  4. Q. W. Jia, K. K. Ooi, and D. W. Wu, 'Multirate control of an HDD servo system with intersample ripple free,' IEEE Trans. Magnetics, vol. 38, no. 5, pp. 2192-2194, 2002 https://doi.org/10.1109/TMAG.2002.801863
  5. T. Hara and M. Tomizuka, 'Multirate controller for hard disk drive with redesign of state estimator,' in Proc. Amer. Control Conf. pp. 3033-3037, 1998
  6. S. H. Lee, C. C. Chung, and S. M. Suh, 'Multirate digital control for high track density magnetic disk drives,' IEEE Trans. Magnetics. vol. 39, no, 2, pp. 832-837, 2003 https://doi.org/10.1109/TMAG.2003.808935
  7. G. F. Franklin, J. D. Powell, and M. L. Workman, Digital Control of Dynamic Systems, Reading, MA, Addison Wesley, 1990
  8. W. W. Chiang, 'Multirate state-space digital controller for sector servo system,' IEEE Conference on decision control, pp. 1902-1907, 1990
  9. S. H. Lee, Y.-H. Kim, and C. C. Chung, 'Multirate digital control system design in,' Proc. Amer. Control Conf, pp. 1861-1866, 2002
  10. G. M. Kranc, 'Input-output analysis of multirate feedback systems,' IRE Transaction on automatic control, pp. 21-28, 1956
  11. H. C. Hwang, C. C. Chung, and S.-H. Lee, 'Design of a multirate controller and its application to galvanometer servo systems,' in Proc. Amer. Control Conf, pp. 564-569, 2001
  12. C. C. Chung, S.-H. Lee, D. S. Jeong, and H. B. Shim, 'Multirate output feedback control and its application to galvanometer servo systems,' in Proc. Amer. Control Conf, pp. 4663-4668, 2003
  13. J. C. D McEachen and D. Meyer, 'Tradeoffs for multirate controller design and exact comparisons with singlerate control,' IEEE Control Systems, pp. 30-35, 1991
  14. D. G. Meyer, 'A parameterization of stabilizing controller for multirate sampled-data systems,' IEEE Transaction on Automatic Control, vol. 35, no. 2, pp. 233-236, 1990 https://doi.org/10.1109/9.45189
  15. J. B. Burl, Linear Optimal Control, Reading, MA, Addison Wesley, 1999
  16. J. Tornero, Y. Gu, and M. Tomizuka, 'Analysis of multi-rate discrete equivalent of continuous controller,' in Proc. Amer. Control Conf, pp. 2759-2763, 1999