Process Model

  • John Pittner
  • Marwan A. Simaan
Part of the Advances in Industrial Control book series (AIC)


This chapter presents a mathematical model suitable for the development of a controller for the tandem cold metal rolling process. A comprehensive model is developed and put into the form of state and output equations. The model is verified by simulation, the results of which are compared to the results of simulations based on a model that is recognized as a benchmark standard for verification.


Work Roll Roll Force Strip Thickness Neutral Plane Forward Slip 
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  1. 1.
    Roberts WL. Mathematical models related to rolling force. In: Cold rolling of steel. New York: Marcel Dekker; 1978.Google Scholar
  2. 2.
    Orowan E. The calculation of roll pressure in hot and cold flat rolling. Proc Inst Mech Eng. 1943;150(4):140–67.CrossRefGoogle Scholar
  3. 3.
    Von Karman T. Beitrag zur theorie des walzvorganges. Z Angew Math Mech. 1925;5:139.MATHGoogle Scholar
  4. 4.
    Bryant GF. The automation of tandem mills. London: The Iron and Steel Institute; 1973.Google Scholar
  5. 5.
    Geddes EJM. Tandem cold rolling and robust multivariable control. PhD thesis, Leicester: University of Leicester; 1998.Google Scholar
  6. 6.
    Guo RM. Analysis of dynamic behaviors of tandem cold mills using generalized dynamic and control equations. IEEE Trans Ind Appl. 2000;36(3):842–53.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Dept. Electrical & Computer EngineeringUniversity of PittsburghPittsburghUSA
  2. 2.Department of Electrical Engineering & Computer ScienceUniversity of Central FloridaOrlandoUSA

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