| An improved control vector iteration approach for nonlinear dynamic optimization. II. Problems with path constraints简 |
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| 引用本文： | 胡云卿,刘兴高,薛安克.An improved control vector iteration approach for nonlinear dynamic optimization. II. Problems with path constraints简[J].中国化学工程学报,2014,22(2):141-145. |
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| 作者姓名： | 胡云卿 刘兴高 薛安克 |
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| 作者单位： | 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 |
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| 基金项目： | 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）. |
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| 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.
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| 关 键 词： | nonlinear dynamic optimization control vector iteration path constraint penalty function method |
| 收稿时间： | 2012-08-04 |
An Improved Control Vector Iteration Approach for Nonlinear Dynamic Optimization. II. Problems with Path Constraints |
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| HU Yunqing,LIU Xinggao and XUE Anke.An Improved Control Vector Iteration Approach for Nonlinear Dynamic Optimization. II. Problems with Path Constraints[J].Chinese Journal of Chemical Engineering,2014,22(2):141-145. |
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| Authors: | HU Yunqing LIU Xinggao and XUE Anke |
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| Affiliation: | 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 |
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| 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. |
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| Keywords: | nonlinear dynamic optimization control vector iteration path constraint penalty function method |
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