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Design of a Robust Track-following Controller with Multiple Constraints

다중 제한 조건을 고려한 강인 트랙 추종 제어기의 설계

  • 진경복 (한국기술교육대학교 메카트로닉스공학부) ;
  • 김진수 (한밭대학교 정보통신컴퓨터공학부) ;
  • 이문노 (동의대학교 컴퓨터공학과)
  • Published : 2004.03.01

Abstract

In this paper, we design a robust multi-objective track-following controller that satisfies transient response specifications and diminishes the influence of sinusoidal disturbance. To this end, a robust control problem with the multiple constraints is considered. We show that a sufficient condition satisfying the robust control problem can be expressed by linear matrix inequalities. Finally, the robust track-following controller can be designed by solving an LMI optimization problem. The effectiveness of the proposed controller design method is verified though experiments.

Keywords

References

  1. Chilali, M. and Gahinet, P., 1996, '$H_{\infty}$ Design with Pole Placement Constraints: AN LMI Approach,' IEEE Trans. Automat. Contr., pp. 358-367
  2. Gutman, S. and Jury, E. I., 1981, 'A General Theory for Matrix Root Clustering in Subregions of the Complex Plan,' IEEE Trans. Automat. Contr., pp. 853-863
  3. Garcia, G. and Bernussou, J., 1995, 'Pole Assignment for Uncertain Systems in a Specified Disk by State-feedback,' IEEE Trans. Automat. Contr., pp. 184-190
  4. Lee, M.-N., Moon, J.-H. and Chung, M. J., 1997, 'Design of a Robust H$\infty$ Controller with Regional Stability Constraints under Sinusoidal Dis- turbances,' in Proc. Asian Contr. Conf., pp. 713∼716
  5. Boyd, S., El Ghaoui, L., Feron, E. and Balakrishnan, V., 1994, Linear Matrix Inequalities in Systems and Control Theory, Philadelphia, PA: SIAM
  6. Abedor, J., Nagpal, K., Khargoneckar, P. P. and Poolla, K., 1995, 'Robust Regulation in the Presence of Norm-bounded Uncertainty,' IEEE Trans. Automat. Contr., pp. 147-152
  7. Savkin, A. V. and Petersen, I. R., 1995, 'Robust Control with Rejection of Harmonic Distur- bances,' IEEE Trans. Automat. Contr., pp. 1968-1971
  8. Lee, T. H., Low, T. S., Al-Mamum, A. and Tan, C. H., 1995, 'Internal Model Control Approach for Designing Disk Drive Servo- controller,' IEEE Trans. Indus. Electr., pp. 248-256
  9. Francis, B. A. and Wonham, W. M., 1975, 'The Internal Model Principle for Linear Multivar, Iable Regulators,' Appl. Math. & Optimiz., pp. 170- 194
  10. Lee, M.-N. and Chung, M. J., 1998, 'Robust Control for Linear Systems with Sinu- soidal Disturbances of Uncertain Frequencies,' IEE Proceedings-control Theory and Applications, pp. 531-536
  11. Scherer, C., Gahinet, P. and Chilali, M., 1997, 'Multiobjective Output-feedback Control via LMI Optimization,' IEEE Trans. Automat. Contr., pp. 896-911
  12. Gahinet, P., 1996, 'Explicit Controller For- mulas for LMI-based $H_{\infty}$ Synthesis,' Automatica, pp. 1007-1014
  13. Doyle, J. C., Glover, K., Khargoneckar, P. P. and Francis, B. A., 1989, 'State-space Solutions to Standard H2 and $H_{\infty}$ Control Problems,' IEEE Trans. Automat. Contr., pp. 831-847
  14. Xie, L., Fu, M. and de Souza, C. E., 1992, '$H_{\infty}$ Control and Quadratic Stabilization of Sys- tems with Parameter Uncertainty via Output Feedback,' IEEE Trans. Automat. Contr., pp. 1253- 1256
  15. Yedavalli, R. K. and Liu, Y., 1995, '$H_{\infty}$ Control with Regional Stability Constraints,' Automatica, pp. 611-615
  16. 진경복, 이문노, 2003, '광 디스크 드라이브의 진동 제어 기술,' 한국소음진동공학회지, 제13권, 제1호, pp. 48∼55