Solution of Chemical Dynamic Optimization Using the Simultaneous Strategies  

采用同步策略的化工动态优化求解(英文)

作　　者：刘兴高 陈珑 胡云卿 

机构地区：[1]State Key Laboratory of Industry Control Technology, Department of Control Science & Engineering, Zhejiang University

出　　处：《Chinese Journal of Chemical Engineering》2013年第1期55-63,共9页中国化学工程学报（英文版）

基　　金：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);the Zhejiang Provincial Natural Science Foundation for Distinguished Young Scientists(R4100133)

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 vari- ables based on the finite-element collocation so as to control the approximation error for discrete optimal problems, where a set of control constraints at dement 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 refine- ment 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 dements to track optimal control profile breakpoints and ensure accurate state and centrol profiles. Four classic benchmarks of dynamic op- timization problems are used as illustrations, and the proposed approach is compared with literature reports. The research results reveal that the proposed approach is preferz,ble in improving the solution accuracy of chemical dy- namic optimization problem.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 

分 类 号：TQ021.8[化学工程]