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

IF 1.1 Q2 MATHEMATICS, APPLIED

Numerical Algebra Control and Optimization 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

Numerical Algebra Control and Optimization MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

期刊介绍： Numerical Algebra, Control and Optimization (NACO) aims at publishing original papers on any non-trivial interplay between control and optimization, and numerical techniques for their underlying linear and nonlinear algebraic systems. Topics of interest to NACO include the following: original research in theory, algorithms and applications of optimization; numerical methods for linear and nonlinear algebraic systems arising in modelling, control and optimisation; and original theoretical and applied research and development in the control of systems including all facets of control theory and its applications. In the application areas, special interests are on artificial intelligence and data sciences. The journal also welcomes expository submissions on subjects of current relevance to readers of the journal. The publication of papers in NACO is free of charge.