Numerical solution to the optimal feedback control of continuous casting process

doi:10.1007/s10898-006-9130-0

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	Numerical solution to the optimal feedback control of continuous casting process
	Guo, Bao-Zhu; Sun, Bing
	2007-10-01
发表期刊	JOURNAL OF GLOBAL OPTIMIZATION
ISSN	0925-5001
卷号	39 期号:2 页码:171-195
摘要	Using a semi-discrete model that describes the heat transfer of a continuous casting process of steel, this paper is addressed to an optimal control problem of the continuous casting process in the secondary cooling zone with water spray control. The approach is based on the Hamilton-Jacobi-Bellman equation satisfied by the value function. It is shown that the value function is the viscosity solution of the Hamilton-Jacobi-Bellman equation. The optimal feedback control is found numerically by solving the associated Hamilton-Jacobi-Bellman equation through a designed finite difference scheme. The validity of the optimality of the obtained control is experimented numerically through comparisons with different admissible controls. Detailed study of a low-carbon billet caster is presented.
关键词	continuous casting viscosity solution Hamilton-Jacobi-Bellman equation finite difference scheme optimal feedback control
DOI	10.1007/s10898-006-9130-0
语种	英语
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000249261400002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3954
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Guo, Bao-Zhu,Sun, Bing. Numerical solution to the optimal feedback control of continuous casting process[J]. JOURNAL OF GLOBAL OPTIMIZATION,2007,39(2):171-195.
APA	Guo, Bao-Zhu,&Sun, Bing.(2007).Numerical solution to the optimal feedback control of continuous casting process.JOURNAL OF GLOBAL OPTIMIZATION,39(2),171-195.
MLA	Guo, Bao-Zhu,et al."Numerical solution to the optimal feedback control of continuous casting process".JOURNAL OF GLOBAL OPTIMIZATION 39.2(2007):171-195.