Examination of solving optimal control problems with delays using GPOPS-Ⅱ

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.3934/naco.2020026

J. Betts, S. Campbell, Claire Digirolamo

引用次数: 4

Abstract

There are a limited number of user-friendly, publicly available optimal control software packages that are designed to accommodate problems with delays. GPOPS-Ⅱ is a well developed MATLAB based optimal control code that was not originally designed to accommodate problems with delays. The use of GPOPS-Ⅱ on optimal control problems with delays is examined for the first time. The use of various formulations of delayed optimal control problems is also discussed. It is seen that GPOPS-Ⅱ finds a suboptimal solution when used as a direct transcription delayed optimal control problem solver but that it is often able to produce a good solution of the optimal control problem when used as a delayed boundary value solver of the necessary conditions.

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用GPOPS-Ⅱ求解时滞最优控制问题的检验

有数量有限的用户友好的，公开可用的最优控制软件包，旨在解决延误问题。GPOPS-Ⅱ是一个开发良好的基于MATLAB的最优控制代码，最初并不是为了适应延迟问题而设计的。本文首次研究了GPOPS-Ⅱ在时滞最优控制问题上的应用。讨论了延迟最优控制问题的各种公式的应用。可以看出，GPOPS-Ⅱ在用作直接转录延迟最优控制问题求解器时，可以找到次优解，但在用作必要条件的延迟边值求解器时，通常能够产生较好的最优控制问题解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.