Dynamic analysis of the center position control and design of disturbance observers during annealing and pickling

Journal of Mechanical Science and Technology volume 35, pages739–746(2021)Cite this article

Abstract

In this study, we propose a new center position controller (CPC) to control the center position error (CPE) of the steel strip during the annealing and pickling processes. The model of the nonlinear CPC system is described for two adjacent rolls and extended to multifeed rolls. We derive a linearized discrete state equation for the multi CPC and analyze its characteristics. A simulator of the CPC system that includes rollers, actuators, and plant data is developed to test the dynamics of the CPC. In addition, a disturbance observer with a low pass filter Q(s) is designed to minimize the effects of various disturbances. The order and time constant of the filter are selected in consideration of the order of the system and the response of the actuator. Results of the offline tests show that the CPE is greatly decreased by the proposed control technology.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

US$ 39.95

Tax calculation will be finalised during checkout.

References

  1. [1]

    J. J. Shelton and K. N. Reid, Lateral dynamics of a real moving web, Journal of Dynamic Systems, Measurement and Control, 93(3) (1971) 180–186.

    Article  Google Scholar 

  2. [2]

    J. J. Shelton and K. N. Reid, Lateral dynamics of an idealized moving web, Journal of Dynamic Systems, Measurement and Control, 93(3) (1971) 187–192.

    Article  Google Scholar 

  3. [3]

    G. E. Young, J. J. Shelton and C. E. Kardamilas, Modeling and control of multiple web spans using state estimation, Journal of Dynamic Systems, Measurement and Control, 111 (1989) 505–510.

    Article  Google Scholar 

  4. [4]

    G. E. Young and K. N. Reid, Lateral and longitudinal dynamic behavior and control of moving webs, Journal of Dynamic Systems, Measurement and Control, 115(2B) (1993) 309–317.

    Article  Google Scholar 

  5. [5]

    C. E. Kardamilas and G. E. Young, Stochastic modeling of lateral web dynamics, Proc. of the American Control Conference, San Diego, CA (1990) 474–480.

  6. [6]

    Y. Okamura and I. Hoshino, State feedback control of the strip steering for aluminum hot rolling mills, Control Engineer Practice, 5(8) (1997) 1035–1042.

    Article  Google Scholar 

  7. [7]

    H. Matsumoto and A. Ishii, Three-dimensional simulation of snake motion in a tandem cold mill, Iron and Steelmaker, 30(12) (2003) 31–39.

    Google Scholar 

  8. [8]

    T. Ishikawa, Y. Tozawa and J. Nishizawa, Fundamental study on snaking in strip rolling, Transactions of the Iron and Steel Institute of Japan, 28 (1988) 485–490.

    Article  Google Scholar 

  9. [9]

    R. C. Benson, Lateral dynamics of a moving web with geometrical imperfection, Journal of Dynamic System, Measurement and Control, 124 (2002) 25–34.

    Article  Google Scholar 

  10. [10]

    T. Shiraishi, H. Ibata and A. Mizuta, Relation between camber and wedge in flat rolling under restrictions of lateral movement, ISIJ International, 6(6) (1991) 583–587.

    Article  Google Scholar 

  11. [11]

    Y. Seki, K. Sekiguchi, Y. Anbe, K. Fukushima, Y. Tsuji and S. Ueno, Optimal multivariable looper control for hot strip finishing mill, IEEE Transactions on Industry Applications, 27(1) (1991) 124–130.

    Article  Google Scholar 

  12. [12]

    T. Hesketh, Y. Jiang, D. Clements, D. Butler and R. Laan, Controller design for hot strip finishing mills, IEEE Transactions on Control Systems Technology, 6(2) (1998) 208–219.

    Article  Google Scholar 

  13. [13]

    C. Wang, J. H. Wang, S. S. Gu, X. Wang and Y. X. Zhang, Elongation prediction of steel-strips in annealing furnace with deep learning via improved incremental extreme learning machine, International Journal of Control, Automation and Systems, 15(3) (2017) 1466–1477.

    Article  Google Scholar 

  14. [14]

    K. H. Shin, A study on the lateral dynamics of the moving web induced by a tilted roller, Journal of the Korean Society of Precision Engineering, 17(12) (2000) 209–216.

    Google Scholar 

  15. [15]

    S. D. Lee and S. Jung, Real-time inverse model estimation by a recursive least squares method for disturbance observer-based control systems: balancing control of a single-wheel robot, International Journal of Control, Automation, and Systems, 17(8) (2019) 1911–1920.

    Article  Google Scholar 

Download references

Acknowledgments

This research was supported by the Daegu University Research Grant, 2019.

Author information

Affiliations

  1. School of Mechanical Engineering, Daegu University, Gyeongsan, 38453, Korea

    Cheol Jae Park

Authors
  1. Cheol Jae Park
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Cheol Jae Park.

Additional information

Cheol Jae Park received the B.S. and M.S. degrees in Mechanical Engineering from Pusan National University, Korea, respectively. He received the Ph.D. degree from Seoul National University, Korea. From 1994 to 2008, he was a Principal Researcher at the technical research laboratories of Pohang Iron & Steel Company (POSCO). He is currently a Professor at the School of Mechanical Engineering at Daegu University, Korea. His research interests include receding horizon control, robust control, process control, and system identification.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Park, C.J. Dynamic analysis of the center position control and design of disturbance observers during annealing and pickling. J Mech Sci Technol 35, 739–746 (2021). https://doi.org/10.1007/s12206-021-0134-y

Download citation

Keywords

  • Center position control
  • Disturbance observer
  • Annealing and pickling process
  • Center position error
  • Feed roll
  • Dynamic analysis