Novel Control Vector Parameterization Method with Differential Evolution Algorithm and Its Application in Dynamic Optimization of Chemical Processes

doi:10.1016/S1004-9541(13)60442-5

Chin.J.Chem.Eng. ›› 2013, Vol. 21 ›› Issue (1): 64-71.DOI: 10.1016/S1004-9541(13)60442-5

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Novel Control Vector Parameterization Method with Differential Evolution Algorithm and Its Application in Dynamic Optimization of Chemical Processes

SUN Fan¹, ZHONG Weimin², CHENG Hui¹, QIAN Feng¹

1 Key Laboratory of Advanced Control and Optimization for Chemical Processes (Ministry of Education), East China University of Science and Technology, Shanghai 200237, China;
2 Department of Automation, East China University of Science and Technology, Shanghai 200237, China

Received:2012-07-30 Revised:2012-10-30 Online:2013-02-04 Published:2013-02-28
Supported by:
Supported by the Major State Basic Research Development Program of China (2012CB720500), the National Natural Science Foundation of China (Key Program: U1162202), the National Science Fund for Outstanding Young Scholars (61222303), the National Natural Science Foundation of China (61174118, 21206037) and Shanghai Leading Academic Discipline Project (B504).

Novel Control Vector Parameterization Method with Differential Evolution Algorithm and Its Application in Dynamic Optimization of Chemical Processes

孙帆¹, 钟伟民², 程辉¹, 钱锋 ¹

1 Key Laboratory of Advanced Control and Optimization for Chemical Processes (Ministry of Education), East China University of Science and Technology, Shanghai 200237, China;
2 Department of Automation, East China University of Science and Technology, Shanghai 200237, China

通讯作者: ZHONG Weimin, QIAN Feng
基金资助:
Supported by the Major State Basic Research Development Program of China (2012CB720500), the National Natural Science Foundation of China (Key Program: U1162202), the National Science Fund for Outstanding Young Scholars (61222303), the National Natural Science Foundation of China (61174118, 21206037) and Shanghai Leading Academic Discipline Project (B504).

Abstract

Abstract: Two general approaches are adopted in solving dynamic optimization problems in chemical processes, namely, the analytical and numerical methods. The numerical method, which is based on heuristic algorithms, has been widely used. An approach that combines differential evolution (DE) algorithm and control vector parameterization (CVP) is proposed in this paper. In the proposed CVP, control variables are approximated with polynomials based on state variables and time in the entire time interval. Region reduction strategy is used in DE to reduce the width of the search region, which improves the computing efficiency. The results of the case studies demonstrate the feasibility and efficiency of the proposed methods.

Key words: control vector parameterization, differential evolution algorithm, dynamic optimization, chemical processes

摘要： Two general approaches are adopted in solving dynamic optimization problems in chemical processes, namely, the analytical and numerical methods. The numerical method, which is based on heuristic algorithms, has been widely used. An approach that combines differential evolution (DE) algorithm and control vector parameterization (CVP) is proposed in this paper. In the proposed CVP, control variables are approximated with polynomials based on state variables and time in the entire time interval. Region reduction strategy is used in DE to reduce the width of the search region, which improves the computing efficiency. The results of the case studies demonstrate the feasibility and efficiency of the proposed methods.

关键词: control vector parameterization, differential evolution algorithm, dynamic optimization, chemical processes

SUN Fan, ZHONG Weimin, CHENG Hui, QIAN Feng. Novel Control Vector Parameterization Method with Differential Evolution Algorithm and Its Application in Dynamic Optimization of Chemical Processes[J]. Chin.J.Chem.Eng., 2013, 21(1): 64-71.

孙帆, 钟伟民, 程辉, 钱锋 . Novel Control Vector Parameterization Method with Differential Evolution Algorithm and Its Application in Dynamic Optimization of Chemical Processes[J]. Chinese Journal of Chemical Engineering, 2013, 21(1): 64-71.

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Novel Control Vector Parameterization Method with Differential Evolution Algorithm and Its Application in Dynamic Optimization of Chemical Processes

Novel Control Vector Parameterization Method with Differential Evolution Algorithm and Its Application in Dynamic Optimization of Chemical Processes

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