Numerical solution to the optimal feedback control of continuous casting process
文献类型：期刊论文
| 作者 | Guo, Bao-Zhu ; Sun, Bing
|
| 刊名 | JOURNAL OF GLOBAL OPTIMIZATION
 |
| 出版日期 | 2007-10-01 |
| 卷号 | 39期号:2页码:171-195 |
| 关键词 | continuous casting viscosity solution Hamilton-Jacobi-Bellman equation finite difference scheme optimal feedback control |
| ISSN号 | 0925-5001 |
| DOI | 10.1007/s10898-006-9130-0 |
| 英文摘要 | 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. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000249261400002 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3953]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。