SCI和EI收录∣中国化工学会会刊

Chin.J.Chem.Eng. ›› 2014, Vol. 22 ›› Issue (2): 141-145.DOI: 10.1016/S1004-9541(14)60001-X

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An Improved Control Vector Iteration Approach for Nonlinear Dynamic Optimization. II. Problems with Path Constraints

HU Yunqing1, LIU Xinggao1, XUE Anke2   

  1. 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
  • Received:2012-08-04 Revised:2012-10-08 Online:2014-01-28 Published:2014-02-05
  • Contact: LIU Xinggao
  • Supported by:

    Supported by the National Natural Science Foundation of China (U1162130), the National High Technology Research and Development Program of China (2006AA05Z226), and Outstanding Youth Science Foundation of Zhejiang Province (R4100133).

An Improved Control Vector Iteration Approach for Nonlinear Dynamic Optimization. II. Problems with Path Constraints

胡云卿1, 刘兴高1, 薛安克2   

  1. 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
  • 通讯作者: LIU Xinggao
  • 基金资助:

    Supported by the National Natural Science Foundation of China (U1162130), the National High Technology Research and Development Program of China (2006AA05Z226), and Outstanding Youth Science Foundation of Zhejiang Province (R4100133).

Abstract: This paper considers dealing with path constraints in the framework of the improved control vector iteration (CVI) approach. Two available ways for enforcing equality path constraints are presented, which can be directly incorporated into the improved CVI approach. Inequality path constraints are much more difficult to deal with, even for small scale problems, because the time intervals where the inequality path constraints are active are unknown in advance. To overcome the challenge, the l1 penalty function and a novel smoothing technique are introduced, leading to a new effective approach. Moreover, on the basis of the relevant theorems, a numerical algorithm is proposed for nonlinear dynamic optimization problems with inequality path constraints. Results obtained from the classic batch reactor operation problem are in agreement with the literature reports, and the computational efficiency is also high.

Key words: nonlinear dynamic optimization, control vector iteration, path constraint, penalty function method

摘要: This paper considers dealing with path constraints in the framework of the improved control vector iteration (CVI) approach. Two available ways for enforcing equality path constraints are presented, which can be directly incorporated into the improved CVI approach. Inequality path constraints are much more difficult to deal with, even for small scale problems, because the time intervals where the inequality path constraints are active are unknown in advance. To overcome the challenge, the l1 penalty function and a novel smoothing technique are introduced, leading to a new effective approach. Moreover, on the basis of the relevant theorems, a numerical algorithm is proposed for nonlinear dynamic optimization problems with inequality path constraints. Results obtained from the classic batch reactor operation problem are in agreement with the literature reports, and the computational efficiency is also high.

关键词: nonlinear dynamic optimization, control vector iteration, path constraint, penalty function method