Feedback Linearization Control of the Looper System in Hot Strip Mills

  • Hwang, I-Cheol (School of Mechatronics Engineering, Dongeui University) ;
  • Kim, Seong-Bae (Department of Mechanical Engineering, Graduated School, Dongeui University)
  • Published : 2003.11.01

Abstract

This paper studies on the linearization of a looper system in hot strip mills, that plays an important role in regulating a strip tension or a strip width. Nonlinear dynamic equations of the looper system are analytically linearized by a static feedback linearization algorithm with a compensator. The proposed linear model of the looper is validated by a comparison with a linear model using Taylor's series. It is shown that the linear model by static feedback well describes nonlinearities of the looper system than one using Taylor's series. Furthermore, it is shown from the design of an ILQ controller that the linear model by static feedback is very useful in designing a linear controller of the looper system.

Keywords

References

  1. Anbe, Y., Sekiguchi, K. and Imanari, H., 1996, 'Tension Control of a Hot Strip Mill Finisher,' IFAC World Congress, pp.439-444
  2. Asano, K., Yamamoto, K. and Kawase, T., 2000, 'Hot Strip Mill Tension Looper Control Based on Decentralization and Coordination,' Elsevier, Control Engineering Practice 8, pp. 337-344 https://doi.org/10.1016/S0967-0661(99)00186-0
  3. Falb, P. L. and Wolovich, W. A., 1967, 'Decoupling in the Design and Synthesis of Multivariable Control Systems,' IEEE Trans. Automatic Control, Vol. 12, No. 6, pp. 651-655 https://doi.org/10.1109/TAC.1967.1098737
  4. Han, M. C., 1995, 'Robust Control of Feedback Linearizable Large-Scale Systems,' KSME Int's Journal, Vol. 9, No. 2, pp. 177-186
  5. Hearns, G., Katebi, M. R. and Grimble, M. J., 1996, 'Robust Control of a Hot Strip Mill Looper,' IFAC 13th Triennial World Congress, pp. 445-450
  6. Hearns, G. and Grimble, M. J., 1997, 'Multivariable Control of a Hot Strip Finishing Mill,' Proceedings of the American Control Conference, Albuquerque, New Mexico, pp. 3775-3779 https://doi.org/10.1109/ACC.1997.609552
  7. Hesketh, T., Jiang, Y. A., Clements, D. J., Butler, D. H. and Van Der Laan, R., 1998, 'Controller Design for Hot Strip Finishing Mills,' IEEE Trans. on Control Systems Technology, Vol. 6, No. 2, pp. 208-219 https://doi.org/10.1109/87.664188
  8. Imanari, H., Morimatsu, Y., Sekiguchi, K., Ezure, H., Matuoka, R., Tokuda, A. and Otobe, H., 1997, 'Looper H-Infinity Control for Hot-Strip Mills,' IEEE Trans. on Industry Applications, Vol. 33, No. 3, pp. 790-796 https://doi.org/10.1109/28.585871
  9. Isidori, A. and Ruberti, A., 1984, 'On the Synthesis of Linear Input-Output Nonlinear System,' System & Control Letters, Vol. 4, pp. 17-22 https://doi.org/10.1016/S0167-6911(84)80046-8
  10. Jakubzyk, B. and Respondek, W., 1980, 'On the Linearization of Control Systems,' Bulletin del Academie Polonaise des Sciences. Serie des Sciences Math, Vol. 28, pp. 517-522
  11. Kim, S. B. and Hwang, I. C., 2002, 'Design of an ILQ Looper Controller for Hot Strip Mills,' KSME, Vol. 26, No. 8, pp. 1680-1689
  12. Lee, H. G., 2001, 'Linearization of Nonlinear Control Systems,' Chung-Ang University publishing department, Seoul, Korea, pp. 63-100
  13. Price, J. C., 1973, 'The Hot Strip Mill Looper System,' IEEE Trans. Ind. Applicat., IA-9, pp. 556-562 https://doi.org/10.1109/TIA.1973.349940