Thickness Control of Tandem Cold Mills Using Preview and $H_{\infty}$ Control Techniques

예견 및 $H_{\infty}$ 제어기법에 의한 연속 냉간 압연시스템의 두께 제어

  • Kim, Sung-Su (Dept.of Mechatronics Engineering, Changwon National University) ;
  • Kim, Jong-Shik (Mechanical Technology Research Center, Dept.of Mechanical Engineering, Busan National University)
  • 김승수 (창원대학교 메카트로닉스 공학부) ;
  • 김종식 (부산대학교 기계공학부, 기계기술연구소)
  • Published : 2000.07.01

Abstract

A robust controller to attenuate the various disturbances of tandem cold mills (TCM) is synthesized by measurement-feedback $H_{\infty}$ control techniques which can reflect the input direction of disturbances and the knowledge of entry thickness variation (disturbance) is synthesized by discrete-time measurement-feedback $H_{\infty}$ control theory. It is demonstrated that the $H_{\infty}$ preview control gain can be easily obtained by the seperation principle of the control and estimation problems in $H_{\infty}$ control. Finally the effectiveness of the proposed control method for TCM is evaluated by the computer simulation and compared to the other control methods which have been previously studied.

Keywords

References

  1. 김종식, 김승수, '롤편심을 포함한 냉간압연 시스템의 다변수제어', 대한기계학회 논문집, 제21권, 제3호, pp. 502-510, 1997
  2. 김종식, 김승수, '$H_{\infty}$ 제어기법에 의한 연속 냉간압연시스템의 두께제어' 한국정밀공학회 논문집, 제15권, 제8호, pp. 145-155, 1998
  3. Tomizuka, M., 'The optimal finite preview problem and its application to man-machine systems,' Ph. D. Thesis, Dept. of Mecanical Engineering, M.I.T., 1974
  4. Tomizuka, M. and Rosenthal, D. E., 'On the optimal digital state vector feedback controller with integral and preview actions', ASME J. of Dynamic systems, Measurement and Control, vol. 101, pp. 172-178, 1979
  5. 최진태, '예측가능한 외란과 미지의 외란에 대한 $H_{\infty}$ 예견제어', 부산대학교 박사학위 논문, 1997
  6. Green, M. and Limebeer, D. J. N., '$H_{\infty}$ Optimal Full Information Control for Discrete-time Systems', Proc. of The IEEE Conference on Decision and Control, Honolulu, pp. 1769-1774, 1990
  7. D. J. N. Limebeer and M. Green, Linear Robust Control, Prentice Hall, 1995
  8. Stroorvogel, A. A., 'The discrete-time $H_{\infty}$ control problem with measurement feedback', SIAM J. of Control and Optimization, vol. 20, no. 1, pp. 180-202, 1992 https://doi.org/10.1137/0330012