Hybrid System Modeling and Model Predictive Control of a Hot Strip Mill Tension/Looper System

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  • IMURA Jun-ichi
    Graduate School of Information Science and Engineering, Tokyo Institute of Technology
  • KOJIMA Akira
    Department of Electronic Systems Engineering, Tokyo Metropolitan Institute of Technology
  • MASUDA Shiro
    Department of Production, Information, and Systems Engineering, Tokyo Metropolitan Institute of Technology
  • TSUDA Kazuro
    Instrument and Control Engineering Department, JFE R&D Corp.
  • ASANO Kazuya
    Instrument and Control Engineering Department, JFE R&D Corp.

Bibliographic Information

Other Title
  • 熱延仕上ミル張力・ルーパ系のハイブリッドシステムモデルとモデル予測制御
  • ネツエン シアゲ ミル チョウリョク ルーパケイ ノ ハイブリッド システム モデル ト モデル ヨソク セイギョ

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Abstract

This paper proposes a new looper control design method of a hot strip mill, where the strip tension and looper trajectories between the noncontact mode and the contact mode are simultaneously optimized. First, based on the model linearized around some equilibrium point in each mode, a discrete-time piecewise affine model, which is one of standard hybrid system models, is derived to describe the discontinuous dynamics of this system. Next, a model predictive control method for this model is proposed. The proposed method provides an exact solution to this control problem. However, it will not be easy to calculate an exact solution on-line via the usual personal computers. So an approximate solution method is also presented, where a solution can be obtained on line. Furthermore, the proposed method can be used to generate a feedforward control input, where optimality of trajectories between the non-contact mode and the contact mode is considered. This will be practically useful because it is executed via off-line computation. Finally, numerical simulations show the effectiveness of the proposed method, compared with the constant-torque based control.

Journal

  • Tetsu-to-Hagane

    Tetsu-to-Hagane 90 (11), 925-931, 2004

    The Iron and Steel Institute of Japan

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