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Robust Control for the Rewritable Optical Disk Drives with Sinusoidal Disturbance of Uncertain Frequencies

불확실한 주파수의 정현파 외란이 있는 기록형 광 디스크 드라이브의 강인 제어

  • 이문노 (동의대학교 컴퓨터공학과) ;
  • 진경복 (한국기술교육대학교 제어시스템공학과) ;
  • 문정호 ((주)CrossDigital)
  • Published : 2002.08.01

Abstract

This paper presents an output feedback controller design method for uncertain linear systems with sinusoidal disturbance of uncertain frequencies. The controller needs to compensate for the performance deterioration due to the uncertain frequencies of sinusoidal disturbance. To this end, we introduce a virtual system including the dynamics corresponding to the uncertain frequencies and design a controller which minimizes the output difference between the virtual system and the closed-loop system. In other words, the controller is designed so that the closed-loop system approximates the virtual system. The feedback controller is achieved by solving an LMI optimization problem involving a robust $H_{\infty}$ constraint. The advantages of the proposed design method are examined by comparing it with a design method that only minimizes the $H_{\infty}$ norm of the transfer function between the sinusoidal disturbance and the output. The proposed design method is applied to the track-following system of rewritable optical disk drives and is evaluated through an experiment.

Keywords

References

  1. J. Abedor, K. Nagpal, P. P. Khargoneckar, and K. Poolla, 'Robust regulation in the presence of norm-bounded uncertainty,' IEEE Trans. Automat. Contr., vol. 40, no. 1, pp. 147-152, 1995 https://doi.org/10.1109/9.362881
  2. S. Boyd, L. EI Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, SIAM, Philadelphia, 1994
  3. M. Chilali and P. Gahinet, '$H_{\infty}$ design with pole placement constraints : An LMI Approach,' IEEE Trans. Automat. Contr., vol. 41, no. 3, pp. 358-367, 1996 https://doi.org/10.1109/9.486637
  4. J. Doyle, K. Zhou, K. Glover, and B. Bodenheimer, 'Mixed $H_2$ and $H_{\infty}$ performance objectives II: Optimal control,' IEEE Trans. Automat. Contr., vol. 39, no. 8, pp. 1575-1587, 1994 https://doi.org/10.1109/9.310031
  5. B. A. Francis and W. A. Wonham, 'The internal model principle for linear multivariable regulators,' Appl. Math. & Optimiz., vol. 2, no. 2, pp. 170-194, 1975 https://doi.org/10.1007/BF01447855
  6. M.-N. Lee, J.-H. Moon, and M. J. Chung, 'Robust $H_{\infty}$ control with regional stability constraints for the track-following systems of optical disk drives,' IECON'96, August 1996, Taipei, Taiwan, pp. 1388-1393 https://doi.org/10.1109/IECON.1996.570586
  7. T. H. Lee, T. S. Low, A. Al-mamum, and C. H. Tan, 'Internal model control approach for designing disk drive servo-controller,' IEEE Trans. Indus. Electr., vol. 42, no. 3, pp. 248-256, 1995 https://doi.org/10.1109/41.382135
  8. A. V. Savkin and I. R. Petersen, 'Robust control with rejection of harmonic disturbances,' IEEE Trans. Automat. Contr., vol. 40, no. 11, pp. 1968-1971, 1995 https://doi.org/10.1109/9.471226
  9. A. V. Savkin and I. R. Petersen, 'Robust control with a terminal state constraint,' Automatica, vol. 32, no. 7, pp. 1001-1005, 1996 https://doi.org/10.1016/0005-1098(96)00047-7
  10. M. Steinbuch, G. Schootstra, and O. H. Bosgra, 'Robust control of a compact disk player,' CDC'92, December 1992, Arizona, USA, pp. 2596-2600
  11. L. Xie, M. Fu, M., and C. E. De Souza, '$H_{\infty}$ control and quadratic stabilization of systems with parameter uncertainty via output feedback,' IEEE Trans. Automat. Contr., vol. 37, no. 8, pp. 1253-1256, 1992 https://doi.org/10.1109/9.151120
  12. K. Zhou, J. C. Doyle, K. and Glover, Robust and optimal Control, PRENTICE HALL, New Jersey, 1996