Optimal water cooling control for plate rolling

Tadafumi Notsu, Masami Konishi, Jun Imai

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


In hot rolling process, rolled plate is cooled by spraying water so that plate temperature distribution is uniformed and reaches to the desired one. Through this process, quality of finished plate can be improved to high level. However, in water cooling process, measuring points of plate temperature are limited because of existence of the water mist. Further, a plate is suffered from complex phenomena such as heat transfer variation in high temperature between plate surface and cooling water. Therefore, there exist a lot of difficulties in controlling plate temperature distribution by a simple feedback control method. The objective of our research is to construct mathematical descriptions for a water cooling control. In this paper, LQ control system for plate temperature control in water cooling process is proposed based on the mathematical model of plate temperature, which adjusts cooling rate given to plate. The model was derived using finite element modeling method of heat transfer in lateral direction. Cooling speed of plate temperature during water cooling can be regulated adjusting weighting matrices in LQ control scheme. The practicability of the proposed method was checked through numerical experiments.

Original languageEnglish
Pages (from-to)3169-3181
Number of pages13
JournalInternational Journal of Innovative Computing, Information and Control
Issue number12
Publication statusPublished - Dec 1 2008


  • Finite difference method
  • Finite element method
  • Heat transfer model
  • LQ control
  • Plate rolling
  • State equation
  • Water cooling

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Information Systems
  • Computational Theory and Mathematics


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