Simultaneous optimization of slab permutation scheduling and heat controlling for a reheating furnace

被引:17
作者
Suzuki, Masayasu [1 ,2 ]
Katsuki, Kenji [2 ]
Imura, Jun-ichi [2 ]
Nakagawa, Jun-ichi [3 ]
Kurokawa, Tetsuaki [3 ]
Aihara, Kazuyuki [4 ]
机构
[1] Japan Sci & Technol Agcy, Tokyo, Japan
[2] Tokyo Inst Technol, Tokyo 152, Japan
[3] Nippon Steel & Sumitomo Met Corp, Tokyo, Japan
[4] Univ Tokyo, Tokyo, Japan
基金
日本学术振兴会;
关键词
Reheating furnace; Optimization; Hybrid system; PREDICTIVE CONTROL; MODEL; SYSTEMS;
D O I
10.1016/j.jprocont.2013.10.007
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this report, for a reheating furnace, which is employed in one of the processes for producing steel sheets from slabs, we propose a modelling method that simultaneously optimizes both the permutation scheduling of slabs and the heat controlling of the furnace. The proposed modelling scheme is based on a hybrid model composed of a nonlinear advection equation that expresses the behavior of the slab temperature and a discrete model for feeding slabs. The model predictive control problem of this model, which will be reduced to a mixed integer programming problem, is formulated by discretizing the advection equation in time and space by means of the method of characteristics and spatially piecewise-linearizing the nonlinear term. It is shown by numerical simulations that the proposed model predictive control method is very effective from the viewpoint of the control performance and the computational burden. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:225 / 238
页数:14
相关论文
共 21 条
[1]  
[Anonymous], 1990, "Numerical Computation of Internal and External Flows"
[2]  
[Anonymous], 2000, PREDICTIVE CONTROL C
[3]  
Arnold V I., 1988, Geometrical Methods in the Theory of Ordinary Differential Equations, DOI [10.1007/978-3-662-11832-0, DOI 10.1007/978-3-662-11832-0]
[4]   Nonlinear predictive control of steel slab reheating furnace [J].
Balbis, L. ;
Balderud, J. ;
Grimble, M. J. .
2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, :1679-+
[5]   Control of systems integrating logic, dynamics, and constraints [J].
Bemporad, A ;
Morari, M .
AUTOMATICA, 1999, 35 (03) :407-427
[6]  
Brid R.B., 2007, TRANSPORT PHENOMENA
[7]   Optimal control of a class of hybrid systems [J].
Cassandras, CG ;
Pepyne, DL ;
Wardi, Y .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (03) :398-415
[8]   Forward decomposition algorithms for optimal control of a class of hybrid systems [J].
Cho, YC ;
Cassandras, CG ;
Pepyne, DL .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2001, 11 (05) :497-513
[9]  
Fujii S., 2010, P IEEE MULT SYST CON
[10]   Constrained optimal hybrid control of a flow shop system [J].
Gokbayrak, Kagan ;
Selvi, Omer .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (12) :2270-2281