Skip to main content
SpringerLink
Log in

Guaranteed cost sliding mode control for looper–tension multivariable uncertain systems

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

In order to further improve the control accuracy of looper–tension uncertain systems in hot strip finishing mills, an innovation-guaranteed cost sliding mode control method is researched. First, a sliding mode surface function is obtained by linear matrix inequalities and guaranteed cost technique. The function can guarantee the system robustness with a good performance during the whole control process. Then, a novel sliding mode control law is designed to satisfy the sliding mode reaching conditions, and it gives the theoretical proof. As a result, the control method can reduce external disturbances and make the strip tension to reach a stable equilibrium state quickly. Simulation results show the effectiveness of the proposed sliding mode control scheme compared with the traditional ones.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Choi, I.S., Rossiter, J.A., Fleming, P.J.: Looper and tension control in hot rolling mills: a survey. J. Process Control 17(6), 509–521 (2007)

    Article  Google Scholar 

  2. Yildiz, S.K., Huang, B., Forbes, J.F.: Dynamics and variance control of hot mill loopers. Control Eng. Pract. 16(1), 89–100 (2008)

    Article  Google Scholar 

  3. Cheol, J.P., Duk, M.L., Seung, G.C.: Development of fuzzy PID control system for hot strip finishing mill. In: Proceedings of 27th Annual Conference of the IEEE Industrial Electronics Society, pp. 787–791 (2001)

  4. Sharifi, F.J.: A neuro-fuzzy system for looper tension control in rolling mills. Control Eng. Pract. 13(1), 1–13 (2005)

    Article  Google Scholar 

  5. Li, G., Sharifi, F.J.: Fuzzy looperless tension control for hot strip rolling. Fuzzy Sets Syst. 160(4), 521–536 (2009)

    Article  MATH  Google Scholar 

  6. Marcu, T., Seliger, B.K., Stucher, R.: Design of fault detection for a hydraulic looper using dynamic neural networks. Control Eng. Pract. 16(2), 192–213 (2008)

    Article  Google Scholar 

  7. Park, C.J., Hwang, I.C.: Tension control in hot strip process using adaptive receding horizon control. J. Mater. Process. Technol. 209, 426–434 (2009)

    Article  Google Scholar 

  8. Jiao, X.H., Shao, L.P., Peng, Y.: Adaptive coordinated control for hot strip finishing mills. J. Iron Steel Res. 18(4), 36–43 (2011)

    Article  Google Scholar 

  9. Kazuya, A., Kazuhiro, Y., Takashi, K., Nobuaki, N.: Hot strip mill tension–looper control based on decentralization and coordination. Control Eng. Pract. 8(3), 337–344 (2000)

    Article  Google Scholar 

  10. Wang, J.C., Zhong, Z.Z.: Looper–tension H\(\infty \) control for hot strip finishing mills. J. Shanghai JiaoTong Univ. (Science) 16(5), 519–523 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  11. Chen, X.J., Yang, W.D., Sun, Y.G.: H\(\infty \) control of looper–tension systems based on a discrete-time model. J. Iron Steel Res. 20(10), 28–31 (2013)

  12. Furlan, R., Cuzzola, F.A., Parisini, T.: Friction compensation in the interstand looper of hot strip mills: a sliding-mode control approach. Control Eng. Pract. 16(2), 214–224 (2008)

    Article  Google Scholar 

  13. Tong, C.N., Wu, Y.K., Liu, L.M., Li, J.Y.: Modeling and intergral variable structure control of hydraulic looper multivariable system. Acta Autom. Sin. 34(10), 1305–1311 (2008)

    Article  MathSciNet  Google Scholar 

  14. Zhong, Z.Z., Wang, J.C., Lu, L.H.: Looper and tension control in hot strip finishing mills based on sliding mode and adaptive control. In: Proceedings of the 8th World Congress on Intelligent Control and Automation, Jinan, China, pp. 1156–1161 (2010)

  15. Cuzzola, F.A.: A multivariable and multi-objective approach for the control of hot-strip mills. J. Dyn. Syst. Meas. Control 128(4), 856–868 (2006)

  16. Gerald, H., Michael, J.: Robust multivariable control for hot strip mills. Iron Steel Inst. Jpn. 40(10), 5–31 (2007)

    Google Scholar 

  17. Gao, W.B.: Foundation of Variable Structure Control. Science Press, Beijing (1993)

    Google Scholar 

  18. Wu, L., Shi, P., Gao, H.: State estimation and sliding mode control of markovian jump singular systems. IEEE Trans. Autom. Control 55(5), 1213–1219 (2010)

    Article  MathSciNet  Google Scholar 

  19. Suryawanshi, P.V., Shendge, P.D.: Robust sliding mode control for a class of nonlinear systems using inertial delay control. Nonlinear Dyn. 78, 1921–1932 (2014)

    Article  Google Scholar 

  20. Zhang, J., Shi, P., Xia, Y.: Robust adaptive sliding mode control for fuzzy systems with mismatched uncertainties. IEEE Trans. Fuzzy Syst. 18(4), 700–711 (2010)

    Article  Google Scholar 

  21. Gao, Z., Liao, X.Z.: Integral sliding mode control for fractional-order systems with mismatched uncertainties. Nonlinear Dyn. 72(1–2), 27–35 (2013)

    Article  MathSciNet  Google Scholar 

  22. Li, W.L.: Guaranteed cost variable structure control for multiple uncertain discrete-time systems. In: Proceedings of Control and Decision Conference, pp. 2849–2854 (2008)

  23. Tang, Z.Y., Ni, W.: Sliding mode robust guaranteed cost control for uncertain stochastic nonlinear jump systems. In: Proceedings of the 6th International Conference on Natural Computation, pp. 3532–3535 (2010)

  24. Wu, L., Su, X., Shi, P.: Sliding mode control with bounded L_2 gain performance of markovian jump singular time-delay systems. Automatica 48(8), 1929–1933 (2012)

  25. Liu, L.P., Han, Z.Z., Li, W.L.: \({\rm H}\infty \) non-fragile observer-based sliding mode control for uncertain time-delay systems. J. Frankl. Inst. 347, 567–576 (2010)

  26. Boyd, S., Ghaoui, L., Feron, E., Balakrishnan, V.: Linear matrix inequalities in system and control theory. In: SIAM Studies in Applied Mathematics, vol. 15 (1994)

Download references

Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grant F2012501033.

Author information

Authors and Affiliations

  1. School of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Hongwei Wang & Yuanwei Jing

  2. The State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang, 110819, China

    Chi Yu

Authors
  1. Hongwei Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yuanwei Jing
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Chi Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hongwei Wang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, H., Jing, Y. & Yu, C. Guaranteed cost sliding mode control for looper–tension multivariable uncertain systems. Nonlinear Dyn 80, 39–50 (2015). https://doi.org/10.1007/s11071-014-1849-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-014-1849-4

Keywords

Search

Navigation