Solution of Chemical Dynamic Optimization Using the Simultaneous Strategies

doi:10.1016/S1004-9541(13)60441-3

Chinese Journal of Chemical Engineering ›› 2013, Vol. 21 ›› Issue (1): 55-63.DOI: 10.1016/S1004-9541(13)60441-3

• 过程系统工程与过程安全 • 上一篇下一篇

Solution of Chemical Dynamic Optimization Using the Simultaneous Strategies

刘兴高, 陈珑, 胡云卿

State Key Laboratory of Industry Control Technology, Department of Control Science & Engineering, Zhejiang University, Hangzhou 310027, China

收稿日期:2011-07-23 修回日期:2012-03-16 出版日期:2013-02-28 发布日期:2013-02-04
通讯作者: LIU Xinggao
基金资助:
Supported by the Joint Funds of NSFC-CNPC of China (U1162130), the International Cooperation and Exchange Project of Science and Technology Department of Zhejiang Province (2009C34008), the National High Technology Research and Development Program of China (2006AA05Z226) and the Zhejiang Provincial Natural Science Foundation for Distinguished Young Scientists (R4100133).

Solution of Chemical Dynamic Optimization Using the Simultaneous Strategies

LIU Xinggao, CHEN Long, HU Yunqing

State Key Laboratory of Industry Control Technology, Department of Control Science & Engineering, Zhejiang University, Hangzhou 310027, China

Received:2011-07-23 Revised:2012-03-16 Online:2013-02-28 Published:2013-02-04
Supported by:
Supported by the Joint Funds of NSFC-CNPC of China (U1162130), the International Cooperation and Exchange Project of Science and Technology Department of Zhejiang Province (2009C34008), the National High Technology Research and Development Program of China (2006AA05Z226) and the Zhejiang Provincial Natural Science Foundation for Distinguished Young Scientists (R4100133).

摘要/Abstract

摘要： An approach of simultaneous strategies with two novel techniques is proposed to improve the solution accuracy of chemical dynamic optimization problems. The first technique is to handle constraints on control variables based on the finite-element collocation so as to control the approximation error for discrete optimal problems, where a set of control constraints at element knots are integrated with the procedure for optimization leading to a significant gain in the accuracy of the simultaneous strategies. The second technique is to make the mesh refinement more feasible and reliable by introducing length constraints and guideline in designing appropriate element length boundaries, so that the proposed approach becomes more efficient in adjusting elements to track optimal control profile breakpoints and ensure accurate state and control profiles. Four classic benchmarks of dynamic optimization problems are used as illustrations, and the proposed approach is compared with literature reports. The research results reveal that the proposed approach is preferable in improving the solution accuracy of chemical dynamic optimization problem.

关键词: dynamic optimization, simultaneous strategy, control constraints, mesh refinement, solution accuracy

Abstract: An approach of simultaneous strategies with two novel techniques is proposed to improve the solution accuracy of chemical dynamic optimization problems. The first technique is to handle constraints on control variables based on the finite-element collocation so as to control the approximation error for discrete optimal problems, where a set of control constraints at element knots are integrated with the procedure for optimization leading to a significant gain in the accuracy of the simultaneous strategies. The second technique is to make the mesh refinement more feasible and reliable by introducing length constraints and guideline in designing appropriate element length boundaries, so that the proposed approach becomes more efficient in adjusting elements to track optimal control profile breakpoints and ensure accurate state and control profiles. Four classic benchmarks of dynamic optimization problems are used as illustrations, and the proposed approach is compared with literature reports. The research results reveal that the proposed approach is preferable in improving the solution accuracy of chemical dynamic optimization problem.

Key words: dynamic optimization, simultaneous strategy, control constraints, mesh refinement, solution accuracy

刘兴高, 陈珑, 胡云卿 . Solution of Chemical Dynamic Optimization Using the Simultaneous Strategies[J]. Chinese Journal of Chemical Engineering, 2013, 21(1): 55-63.

LIU Xinggao, CHEN Long, HU Yunqing. Solution of Chemical Dynamic Optimization Using the Simultaneous Strategies[J]. Chin.J.Chem.Eng., 2013, 21(1): 55-63.

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Solution of Chemical Dynamic Optimization Using the Simultaneous Strategies

Solution of Chemical Dynamic Optimization Using the Simultaneous Strategies

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