Skip to main content
Log in

Command Filter-based Backstepping Control for the Speed and Tension System of the Reversible Cold Strip Rolling Mill Using Disturbance Observers

  • Regular Papers
  • Control Theory and Applications
  • Published:
International Journal of Control, Automation and Systems Aims and scope Submit manuscript

Abstract

This paper investigates the decoupling and coordinated tracking control problem for the speed and tension system of the reversible cold strip rolling mill. Using a diagonal matrix decoupling network and neural network disturbance observers, we propose a command filter-based backstepping control strategy. First, the diagonal matrix decoupling network is constructed to weaken the coupling between the speed and tension of the rolling mill system, which reduces the complexity of the system model effectively. Second, controllers are designed by combining the backstepping with the command filter, which solves the “explosion of complexity” problem in backstepping procedure, and optimizes the system’s control structure. Next, neural network disturbance observers are developed to observe the uncertain items of the system, which improve the tracking control precision of the system effectively. Theoretical analysis shows that all signals in the closed-loop system are uniformly ultimately bounded. Finally, simulation research is carried out on the speed and tension system of a 1422 mm reversible cold strip rolling mill; results show that using the proposed control strategy increased the dynamic response speed of the system by approximately 1s, and the stability precision improved by approximately 2000 N.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. L. Liu, Y. Han, Y. M. Fang, M. H. Lin, and N. Shao, “Neural network dynamic surface backstepping control for the speed and tension system of reversible cold strip rolling mill,” Asian Journal of Control, vol. 20, no. 4, pp. 1452–1463, July 2018.

    Article  MathSciNet  Google Scholar 

  2. G. M. Liu, H. S. Di, and C. L. Zhou, “Tension and thickness control strategy analysis of two stands reversible cold rolling mill,” Journal of Iron & Steel Research International, vol. 19, no. 10, pp. 20–25, October 2012.

    Article  Google Scholar 

  3. X. C. Wang, Q. Yang, Z. Y. Jiang, and J. W. Xu, “Research on the improvement effect of high tension on flatness deviation in cold strip rolling,” Steel Research International, vol. 85, no. 11, pp. 1560–1570, November 2015.

    Article  Google Scholar 

  4. K. Prinz, A. Steinboeck, M. Muller, A. Ettl, and A. Kugi, “Automatic gauge control under laterally asymmetric rolling conditions combined with feedforward,” IEEE Transactions on Industry App-lications, vol. 53, no. 3, pp. 2560–2568, May 2017.

    Article  Google Scholar 

  5. J. L. Sun, Y. Peng, and H. M. Liu, “Dynamic characteristics of cold rolling mill and strip based on flatness and thickness control in rolling process,” Journal of Central South University, vol. 21, no. 2, pp. 567–576, February 2014.

    Article  Google Scholar 

  6. H. Koc, D. Knittel, M. D. Mathelin, and G. Abba, “Modeling and robust control of winding systems for elastic webs,” IEEE Transactions on Control Systems Technology, vol. 10, no. 2, pp. 197–208, March 2002.

    Article  Google Scholar 

  7. X. Q. Liu, J. Q. Hu, and L. Zhou, “Active disturbance rejection control of three-motor synchronous control system,” Proceedings of the Chinese Society of Electrical Engineering, vol. 30, no. 12, pp. 80–85, April 2010.

    Google Scholar 

  8. L. X. Liu, Y. M. Fang, J. X. Li, and D. S. Li, “Decentralized overlapping control for speed and tension in reversing cold-strip mill,” Control Theory & Applications, vol. 28, no. 5, pp. 675–680, May 2011.

    Google Scholar 

  9. R. Bai, S. C. Tong, and T. Y. Chai, “Modeling and decoupling control for the strip tension of bridling roll in the continuous annealing line,” Control Theory & Applications, vol. 30, no. 3, pp. 392–397, March 2013.

    Google Scholar 

  10. L. P. Fan, and Y. Liu, “Fuzzy self-tuning PID control of the main drive system for four-high hot rolling mill,” Journal of Advanced Manufacturing Systems, vol. 14, no. 1, pp. 11–22, March 2015.

    Article  MathSciNet  Google Scholar 

  11. Y. M. Fang, L. Liu, J. X. Li, and R. Chang, “Compound control for speed and tension multivariable coupling system of reversible cold strip mill,” Journal of Central South University, vol. 22, no. 2, pp. 529–538, February 2015.

    Article  Google Scholar 

  12. Z. K. Zhang, G. R. Duan, and M. Z. Hou, “An improved adaptive dynamic surface control approach for uncertain nonlinear systems,” International Journal of Adaptive Control and Signal Processing, vol. 32, no. 5, pp. 713–728, May 2018.

    Article  MathSciNet  Google Scholar 

  13. Y. H. Ji, H. L. Zhou, and Q. Gao, “Distributed containment control for multi-agent systems in pure-feedback form under switching topologies,” International Journal of Control, Automation and Systems, vol. 16, no. 5, pp. 2312–2320, October 2018.

    Article  Google Scholar 

  14. R. Rashad, A. El-Badawy, and A. Aboudonia, “Sliding mode disturbance observer-based control of a twin rotor MIMO system,” ISA Transactions, vol. 69, pp. 166–174, July 2017.

    Article  Google Scholar 

  15. C. C. Hua, K. Wang, J. N. Chen, and X. You, “Tracking differentiator and extended state observer-based nonsingular fast terminal sliding mode attitude control for a quadrotor,” Nonlinear Dynamics, vol. 94, no. 1, pp. 343–354, October 2018.

    Article  Google Scholar 

  16. X. T. Zhou, G. H. Gong, J. P. Li, H. Y. Zhang, and R. X. Yu, “Decoupling control for a three-axis inertially stabilized platform used for aerial remote sensing,” Transactions of the Institute of Measurement and Control, vol. 37, no. 9, pp. 1135–1145, October 2015.

    Article  Google Scholar 

  17. J. Yao, X. M. Cao, Y. Zhang, and Y. Li, “Cross-coupled fuzzy PID control combined with full decoupling compensation method for double cylinder servo control system,” Journal of Mechanical Science and Technology, vol. 32, no. 5, pp. 2261–2271, May 2018.

    Article  Google Scholar 

  18. B. Li, and L. Zhou, “Power decoupling method based on the diagonal compensating matrix for VSG-controlled parallel inverters in the microgrid,” Energies, vol. 10, no. 12, pp. 2159, December 2017.

    Article  MathSciNet  Google Scholar 

  19. Y. Ma, and Y. L. Cai, “A Fuzzy model predictive control based upon adaptive neural network disturbance observer for a constrained hypersonic vehicle,” IEEE Access, vol. 6, pp. 5927–5938, December 2018.

    Article  Google Scholar 

  20. S. Y. Dian, L. Chen, S. Hoang, T. Zhao, and J. Y. Tan, “Gain scheduled dynamic surface control for a class of underactuated mechanical systems using neural network disturbance observer,” Neurocomputing, vol. 275, pp. 1998–2008, January 2018.

    Article  Google Scholar 

  21. L. Liu, N. Shao, M. H. Lin, and Y. M. Fang, “Hamilton-based adaptive robust control for the speed and tension system of reversible cold strip rolling mill,” International Journal of Adaptive Control and Signal Processing, vol. 33, no. 4, pp. 626–643, April 2019.

    Article  MathSciNet  Google Scholar 

  22. G. Rigatos, P. Siano, and G. Raffo, “A nonlinear H-infinity control method for multi-DOF robotic manipulators,” Nonlinear Dynamics, vol. 88, no. 1, pp. 329–348, April 2017.

    Article  MathSciNet  Google Scholar 

  23. Y. Chen, J. H. Liang, C. L. Wang, and Y. C. Zhang, “Combined of Lyapunov-stable and active disturbance rejection control for the path following of a small unmanned aerial vehicle,” International Journal of Advanced Robotic Systems, vol. 14, no. 2, pp. 1–10, March 2017.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yiming Fang.

Additional information

Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Vu Nguyen under the direction of Editor Won-jong Kim. This work was supported by the National Natural Science Foundation of China under Grant 61803327, the Natural Science Foundation of Hebei Province under Grants F2016203263 and E2017203115, the Key Research and Development Project of Hebei Province under Grant 18212109, the Research Foundation of Hebei University of Environmental Engineering under Grant BJ201604, and the Basic Research Specific Subject of Yanshan University under Grant 16LGA005.

Le Liu received his B.E. degree in automation from the Hebei University of Science & Technology in 2008, his M.E. and Ph.D. degrees in control science and engineering from the Yanshan University, in 2011 and 2015, respectively. He is currently an associate professor with the Department of Automation, Yanshan University, China. His research interests include decoupling coordinated control of multivariable system, robust control and its applications to nonlinear system.

Nuan Shao received her B.E. and Ph.D. degrees in control science and engineering from the Yanshan University, in 2008 and 2015, respectively. She is currently an associate professor with Hebei University of Environmental Engineering, China. Her research interests include stability analysis, robust control of nonlinear system, distributed containment control.

Suyan Ding is currently a Postgraduate student with the Department of Automation, Yanshan University, China. Her research interest includes coordinated control for the speed and tension system of cold strip rolling mill.

Yiming Fang received his B.E. and M.E. degrees in automation from the Northeast Heavy Machinery Institute (which was renamed Yanshan University in 1997), China, in 1985 and 1988, respectively, and his Ph.D. degree in mechanical and electronic engineering from the Yanshan University in 2003. He is currently a Professor with the Department of Automation, Yanshan University, China. His research interests include modeling & simulation and control of complex system, adaptive robust control of metallurgical automation system.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, L., Shao, N., Ding, S. et al. Command Filter-based Backstepping Control for the Speed and Tension System of the Reversible Cold Strip Rolling Mill Using Disturbance Observers. Int. J. Control Autom. Syst. 18, 1190–1201 (2020). https://doi.org/10.1007/s12555-018-0697-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12555-018-0697-2

Keywords

Navigation