Skip to main content
SpringerLink
Log in

Characteristic analysis and optimal control of the thickness and tension system on tandem cold rolling

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

The tandem cold-rolling process is a multivariable, nonlinear, and strongly coupled complex control procedure, in which the key technologies of automatic gauge control (AGC) and automatic tension control (ATC) are extremely comprehensive, and high precision is required. This paper analyzes the rolling characteristics of tandem cold-rolling process and proposes an innovative multivariable optimization strategy based on inverse linear quadratic (ILQ) optimal control theory for thickness and tension control. First, a new state space model of the tandem cold-rolling process was introduced and verified based on the basic equations of rolling technology and field data. Then, meaningful influence rules on the complex rolling process were obtained by analyzing rolling characteristics. For the complex rolling process, a novel ILQ control strategy was introduced into the thickness and tension control system. As a result, by a series of experiments, the effect of disturbance on the thickness and tension was attenuated to an arbitrary degree of accuracy through the proposed control strategy. Simulation results showed the excellent control performance of the proposed ILQ control strategy compared with the conventional proportion and integration (PI) control strategy.

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

Similar content being viewed by others

References

  1. Kimura Y, Sodani Y, Nishiura N, Ikeuchi N, Mihara Y (2003) Analysis of chatter in tandem cold rolling mills. ISIJ Int 43(1):77–84. https://doi.org/10.2355/isijinternational.43.77

    Article  Google Scholar 

  2. Takami KM, Mahmoudi J, Dahlquist E (2010) Adaptive control of cold rolling system in electrical strips production system with online-offline predictors. Int J Adv Manuf Technol 50(9-12):917–930. https://doi.org/10.1007/s00170-010-2585-7

    Article  Google Scholar 

  3. Zhang X, Chen SZ, ZHANG HY, Zhang XW, Zhang DH, Sun J (2014) Modeling and analysis of interstand tension control in 6-high tandem cold rolling mill. J Iron Steel Res Int 21(9):830–836. https://doi.org/10.1016/S1006-706X(14)60149-7

    Article  Google Scholar 

  4. Bu HN, Yan ZW, Zhang DH (2017) A novel approach to improve the computing accuracy of rolling force and forward slip. Ironmak Steelmak, 1–8. https://doi.org/10.1080/03019233.2017.1369681

  5. Guo RM (1991) Evaluation of dynamic characteristics of HAGC system. Iron Steel Eng 68(7):52–61

    Google Scholar 

  6. Pires CTA, Ferreira HC, Sales RM, Silva MA (2006) Set-up optimization for tandem cold mills: a case study. J Mater Process Technol 173(3):368–375. https://doi.org/10.1016/j.jmatprotec.2005.12.008

    Article  Google Scholar 

  7. Asano K, Morari M (1998) Interaction measure of tension-thickness control in tandem cold rolling. Control Eng Pract 6(8):1021-1027 https://doi.org/10.1016/S0967-0661(98)00101-4

  8. Reddy NV, Suryanarayana G (2001) A set-up model for tandem cold rolling mills. J Mater Process Technol 116(2):269–277. https://doi.org/10.1016/S0924-0136(01)01007-X

    Article  Google Scholar 

  9. Geddes EJM (1994) Multivariable control of a high performance tandem cold rolling mill. In: Proceedings of the 1994 International Conference on Control-Control '94, UK,Coventry, pp 202-207. https://doi.org/10.1049/cp:19940132

  10. Geddes EJM, Postlethwaite I (1998) Improvements in product quality in tandem cold rolling using robust multivariable control. IEEE Trans Control Syst Technol 6(2):257–269. https://doi.org/10.1109/87.664192

    Article  Google Scholar 

  11. Pittner J, Simaan MA, Samaras NS (2007) A novel approach for optimal control of continuous tandem cold metal rolling. In: Proceedings of the 42nd Industry Applications Annual Meeting, USA, New Orleans, LA, pp 374–381. https://doi.org/10.1109/07IAS.2007.63

  12. Pittner J, Simaan MA (2008) Optimal control of tandem cold rolling using a pointwise linear quadratic technique with trims. J Dyn Sys, Meas, Control 130(2):021006–1–021006–11. https://doi.org/10.1115/1.2837312

    Article  Google Scholar 

  13. Takami KM, Mahmoudi J, Dahlquist E, Lindenmo M (2011) Multivariable data analysis of a cold rolling control system to minimise defects. Int J Adv Manuf Technol 54(5–8):553–565. https://doi.org/10.1007/s00170-010-2946-2

    Article  Google Scholar 

  14. Ozaki K, Ohtsuka T, Fujimoto K, Kitamura A, Nakayama M (2009) Nonlinear receding horizon control of a tandem cold mill in acceleration and deceleration conditions. In: Proceedings of the 2009 ICCAS-SICE. IEEE, Fukuoka, pp 2158–2163

  15. Fujita N, Kimura Y (2012) Influence of plate-out oil film on lubrication characteristics in cold rolling. ISIJ Int 52(5):850–857. https://doi.org/10.2355/isijinternational.52.850

  16. Fujita N, Kimura Y, Kobayashi K, Itoh K, Amanuma Y, Sodani Y (2016) Dynamic control of lubrication characteristics in high speed tandem cold rolling. J Mater Process Technol 229:407–416. https://doi.org/10.1016/j.jmatprotec.2015.09.042

    Article  Google Scholar 

  17. Rigler GW, Aberl HR, Staufer W, Aistleitner K (1996) Improved rolling mill automation by means of advanced control techniques and dynamic simulation. IEEE Trans Ind Appl 32(3):599–607. https://doi.org/10.1109/28.502172

    Article  Google Scholar 

  18. Ratnoo A, Ghose D (2015) State-dependent Riccati-equation-based guidance law for impact-angle-constrained trajectories. J Guid Control Dyn 32(1):320–326. https://doi.org/10.2514/1.37876

    Article  Google Scholar 

  19. Aboukandil H, Freiling G, Ionescu V, Jank G (2003) Matrix Riccati equations in control and systems theory. IEEE Trans Automat Contr 49 (10):2094–2095. https://doi.org/10.1109/TAC.2004.835350

  20. Zhang X, Zhang Q, Sun C (2009) Gauge and tension control in unsteady state of cold rolling using mixed H 2 /H ∞ control. In: Proceedings of the 2009 IEEE International Conference on Control and Automation, New Zealand, Christchurch, pp 2072–2076. https://doi.org/10.1109/ICCA.2009.5410181

  21. Poursina M, Rahmatipour M, Mirmohamadi H (2015) A new method for prediction of forward slip in the tandem cold rolling mill. Int J Adv Manuf Technol 78(9–12):1827–1835. https://doi.org/10.1007/s00170-015-6790-2

    Article  Google Scholar 

  22. Kadoya Y, Ooi T, Washikita Y, Seki Y (1999) Strip gage and tension control at cold tandem mill based on ILQ design theory. In: Proceedings of the 1999 IEEE International Conference on Control Applications, USA, Kohala Coast, Hi, pp 23–28. https://doi.org/10.1109/CCA.1999.806137

  23. Gokcek C, Kabamba PT, Meerkov SM (2001) An LQR/LQG theory for systems with saturating actuators. IEEE Trans Autom Control 46(10):1529–1542. https://doi.org/10.1109/9.956049

    Article  MathSciNet  MATH  Google Scholar 

  24. Fujii T (1987) A new approach to the LQ design from the viewpoint of the inverse regulator problem. IEEE Trans Autom Control 32(11):995–1004. https://doi.org/10.1109/TAC.1987.1104479

    Article  MathSciNet  MATH  Google Scholar 

Download references

Funding

This work was supported by the National Key R&D Program of China (2017YFB0304100), the National Natural Science Foundation of China (51774084, 51634002), and the Fundamental Research Funds for the Central Universities (N160704004, N170708020).

Author information

Authors and Affiliations

  1. The State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang, 110819, Liaoning, People’s Republic of China

    Yun-Jian Hu, Jie Sun, Qing-Long Wang, Fang-Chen Yin & Dian-Hua Zhang

Authors
  1. Yun-Jian Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jie Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Qing-Long Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Fang-Chen Yin
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Dian-Hua Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jie Sun.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hu, YJ., Sun, J., Wang, QL. et al. Characteristic analysis and optimal control of the thickness and tension system on tandem cold rolling. Int J Adv Manuf Technol 101, 2297–2312 (2019). https://doi.org/10.1007/s00170-018-3088-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-018-3088-1

Keywords

Search

Navigation