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

解非线性动态优化问题的一种改进的控制矢量迭代方法.Ⅱ.带路径约束问题(英文)

作　　者：胡云卿 刘兴高 薛安克 

机构地区：[1]State Key Laboratory of Industry Control Technology,Zhejiang University [2]Institute of Information and Control,Hangzhou Dianzi University

出　　处：《Chinese Journal of Chemical Engineering》2014年第2期141-145,共5页中国化学工程学报（英文版）

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

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 ll penalty function and a novel smoothing technique are in-troduced, leading to a new effective approach. Moreover, on the basis of the relevant theorems, a numerical algo-rithm 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 reoorts, and the comoutational efficiency is also high.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 l1penalty 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 

分 类 号：O224[理学—运筹学与控制论]