제어로봇시스템학회논문지 (Journal of Institute of Control, Robotics and Systems)

  • 제6권1호
  • /
  • Pages.25-34
  • /
  • 2000
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  • 1976-5622(pISSN)
  • /
  • 2233-4335(eISSN)
제어로봇시스템학회 (Institute of Control, Robotics and Systems)
권호 표지

LMI 에 기초한 연속 냉간압연기의 H^{\infty} 서보 제어기 설계

Design of an LMI- Based H^{\infty} Servo Controller for Tandem Cold Mill

  • 김인수 (부산대 지능기계공학과) ;
  • 황이철 (동의대학교 기계산업시스템공학부) ;
  • 이만형 (부산대 기계공학부, 정밀정형 및 금형가공연구소)
  • Kim, In-Soo ;
  • Hwang, I-Cheol (Dept.of Machanicals Industry System Engineering, Dongeui University ) ;
  • Lee, Man-Hyung (Sheet Products Process Research Group, Dept.of Mechanical Engineering, Busan National University)
  • 발행 : 2000.01.01
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초록

In this paper, we design a H^\infty servo controller for gauge control of tandem cold mill. To improve the performance of the AGC(Aotomatic Gauge Control) system based on the Taylor linearized model of tandem cold mill, the H^\infty servo controller is designed to satisfy robust stability, disturbance attenuation and robust tracking properties. The H^\infty servo controller problem is modified as an usual H^\infty control problem, and the solvability condition of the H^\infty servo problem depends on the solvability of the modified H^\infty control problem. Since this modified problem does not satisfied standard assumptions for the H^\infty control problem, it is solved by an LMI(Linear Matrix Inequality) technique. Consequently, the comparison between the H^\infty servo controller and the existing PID/FF(FeedForward) controller shows the usefulness of this study.

키워드

참고문헌

  1. 'Special issue on control in the metal processing industries,' IEEE Trans. on Control System Technology, vol. 6, no. 2, 1998
  2. 浦項綜合製鐵(株) 光陽製鐵所, No. 5 CRM設備用 NEW TYPE AGC 共同硏究完了報告書, 浦項綜合製鐵(株), 1993
  3. 이만형, 황이철, '연속 냉간압연기의 견실 제어 시스템 설계를 위한 수학모델 개발에 관한 연구,' 포항제철(주)기술연구소 위탁과제 연구보고서, 1998
  4. M. Verhaegen and P. Dewilde, 'Subspace model identification part1. the output-error state-space model identification class of algorithm,' International Journal of Control, vol. 56, no. 5, pp. 1187-1210 https://doi.org/10.1080/00207179208934363
  5. 多美 勉, $H^{\infty}$ 制御, 昭晃堂, 1994
  6. J. C. Doyle, B. A. Francis and A. R. Tannenbaum, Feedback Control Theory, Macmillan, 1992
  7. J. Hozumi, S. Hara and H. Fujioka, 'Robust servo problem with $H_{\infty}$ norm constraint,' International Journal of Control vol. 66, no. 6, pp. 803-823, 1997 https://doi.org/10.1080/002071797224405
  8. 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 Trans. on Automatic Control,' IEEE Trans. on Automatic Control, vol. 34, no. 8, pp. 831-847, 1989 https://doi.org/10.1109/9.29425
  9. P. Gahinet, 'Explicit controller formulas for LMI-based H synthesis,' Automatica, vol. 32, no. 7 pp. 1007-1014, 1996 https://doi.org/10.1016/0005-1098(96)00033-7
  10. P. Gahinet and P. Apkarian, 'A linear matrix l inequality approach to $H^{\infty}$ control,' International Journal of Robust and Nonlinear Control, vol. 4, pp. 421-448, 1994 https://doi.org/10.1002/rnc.4590040403
  11. R. Hill, 'Relations between roll force and torque in cold strip rolling,' Proc. of the Institution of Mechanical Engineers,' Proc. of the Institution of Mechanical Engineers, vol. 163, pp. 135-140
  12. D. R. Bland and H. Ford, 'The calculation of roll force and torque in cold strip rolling with tensions,' Proc. of the Institution of Mechanical Engineers, vol. 159, pp. 144 163, 1948
  13. T. Soderstorom and P. Stoica, System Identification, Prentice-Hall, 1989
  14. J. L. Goldberg, Matrix Theory with Applications, MeGraw-Hill, 1991