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《中国化学工程学报(英文版)》 2012-06
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An Improved Control Vector Iteration Approach for Nonlinear Dynamic Optimization (Ⅰ) Problems Without Path Constraints

HU Yunqing1 , LIU Xinggao1, ** and XUE Anke2 1 State Key Laboratory of Industry Control Technology, Zhejiang University, Hangzhou 310027, China 2 Institute of Information and Control, Hangzhou Dianzi University, Hangzhou 310018, China  
This study proposes an efficient indirect approach for general nonlinear dynamic optimization problems without path constraints. The approach incorporates the virtues both from indirect and direct methods: it solves the optimality conditions like the traditional indirect methods do, but uses a discretization technique inspired from direct methods. Compared with other indirect approaches, the proposed approach has two main advantages: (1) the discretized optimization problem only employs unconstrained nonlinear programming (NLP) algorithms such as BFGS (Broyden-Fletcher-Goldfarb-Shanno), rather than constrained NLP algorithms, therefore the computational efficiency is increased; (2) the relationship between the number of the discretized time intervals and the integration error of the four-step Adams predictor-corrector algorithm is established, thus the minimal number of time intervals that under desired integration tolerance can be estimated. The classic batch reactor problem is tested and compared in detail with literature reports, and the results reveal the effectiveness of the proposed approach. Dealing with path constraints requires extra techniques, and will be studied in the second paper.
【Fund】: Supported by the National Natural Science Foundation of China (U1162130);; the National High Technology Research and Development Program of China (2006AA05Z226);; the Outstanding Youth Science Foundation Zhejiang Province (R4100133)
【CateGory Index】: TP13
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 HONG Weirong1,TAN Pengcheng 1 ,WANG Shuqing 2 and Pu Li 3 1Institute of Process Equipment,Zhejiang University,Hangzhou 310027,China 2Institute of Cyber-System and Control,State Key Lab of Control Technology,Zhejiang University,Hangzhou 310027,China3 Institute of Automation and Systems Engineering,Ilmenau University of Technology,Ilmenau 98684,Germany;A Comparison of Arithmetic Operations for Dynamic Process Optimization Approach[J];Chinese Journal of Chemical Engineering;2010-01
2 ZHANG Bing,CHEN Dezhao,WU Xiaohua (Department of Chemical and Biochemical Engineering, Zhejiang University, Hangzhou 310027, Zhejiang, China);Graded optimization strategy and its application to chemical dynamic optimization with fixed boundary[J];化工学报;2005-07
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Mo Yuanbin;Zheng Qiaoyan;Ma Yanzhui;Yuan Weijun;Guangxi University for Nationalities;;Adaptive cuckoo search algorithm and its application to chemical engineering optimization problem[J];计算机与应用化学;2015-03
2 ZHOU You;ZHAO Chengye;LIU Xinggao;State Key Laboratory of Industry Control Technology,Department of Control,Zhejiang University;;An iteratively adaptive particle swarm optimization approach for solving chemical dynamic optimization problems[J];化工学报;2014-04
3 HU Yun-Qing 1 LIU Xing-Gao 1 1. State Key Laboratory of Industry Control Technology, Zhejiang University, Hangzhou 310027;Methods to Deal with Control Variable Path Constraints in Dynamic Optimization Problems[J];自动化学报;2013-04
4 SUN Fan, DU Wenli , QI Rongbin, QIAN Feng and ZHONG Weimin Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai 200237, China;A Hybrid Improved Genetic Algorithm and Its Application in Dynamic Optimization Problems of Chemical Processes[J];Chinese Journal of Chemical Engineering;2013-02
5 SUN Fan 1 , ZHONG Weimin 2 , CHENG Hui 1 and QIAN Feng 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;Novel Control Vector Parameterization Method with Differential Evolution Algorithm and Its Application in Dynamic Optimization of Chemical Processes[J];Chinese Journal of Chemical Engineering;2013-01
6 HU Yunqing1 , LIU Xinggao1, ** and XUE Anke2 1 State Key Laboratory of Industry Control Technology, Zhejiang University, Hangzhou 310027, China 2 Institute of Information and Control, Hangzhou Dianzi University, Hangzhou 310018, China;An Improved Control Vector Iteration Approach for Nonlinear Dynamic Optimization (Ⅰ) Problems Without Path Constraints[J];Chinese Journal of Chemical Engineering;2012-06
7 SUN Fan,DU Wenli,QIAN Feng(Key Laboratory of Advanced Control and Optimization for Chemical Processes,Ministry of Education,East China University of Science and Technology,Shanghai 200237,China);An improved differential evolution algorithm and its application in dynamic optimization of fed-batch bioreactor[J];化工学报;2012-11
8 PENG Xin,QI Rongbin,DU Wenli,QIAN Feng (Key Laboratory of Advanced Control and Optimization for Chemical Processes,Ministry of Education, East China University of Science and Technology,Shanghai 200237,China);An improved knowledge evolution algorithm and its application to chemical process dynamic optimization[J];化工学报;2012-03
9 LIN Ke-hong1,2,HE Yi-jun1,CHEN De-zhao1 (1. Department of Chemical and Biochemical Engineering,Zhejiang University ,Hangzhou 310027,China; 2. School of Pharmaceutical and Chemical Engineering,Taizhou University,Linhai 317000,China);Improved Clonal Selection Algorithm for Constrained Dynamic Optimization Problems[J];高校化学工程学报;2009-05
10 MO Yuan-bin~(1,2),CHEN De-zhao~1,LIU He-tong~2,HU Shang-xu~1(1.Department of Chemical and Biochemical Engineering,Zhejiang University,Hangzhou 310027,China;2.College of Sciences,China Jiliang University,Hangzhou 310018,China);Particle Swarm Optimization for Chemical Dynamic Process Optimization with Fixed Boundary Value[J];化工自动化及仪表;2006-04
【Secondary Citations】
Chinese Journal Full-text Database 5 Hits
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4 ZENG Jin 1, REN Qing-sheng 2 (1.Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, China; 2.Depart- ment of Computer Science and Eingineering, Shanghai Jiaotong University, Shanghai 200030, China);Time-optimal control based on improved genetic algorithm[J];控制与决策;2002-01
5 Song Jing and Cao Zhu' an(Department of Chemical Engineering, Tsinghua University, Beijing 100084);APPLICATION OF ITERATIVE DYNAMIC PROGRAMMING TO DYNAMIC OPTIMIZATION PROBLEMS[J];化工学报;1999-01
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