Analytical first derivatives of the direct Hermite-Simpson collocation formulation of optimal control problems

In order to assess the capabilities of South Africa as a launch site for commercial satellites, an optimal control solver was developed. The developed solver makes use of direct Hermite-Simpson collocation methods, and can be applied to a general optimal control problem. Analytical first derivative...

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Autores principales:	Arunakirinathar Aravind, de la Beaujardiere Jean-Francois, Brooks Michael
Formato:	article
Lenguaje:	EN FR
Publicado:	EDP Sciences 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/0f2e29cb6dbd4c7ca47d5ad8b4632ec6
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spelling	oai:doaj.org-article:0f2e29cb6dbd4c7ca47d5ad8b4632ec62021-12-02T17:13:35ZAnalytical first derivatives of the direct Hermite-Simpson collocation formulation of optimal control problems2261-236X10.1051/matecconf/202134700012https://doaj.org/article/0f2e29cb6dbd4c7ca47d5ad8b4632ec62021-01-01T00:00:00Zhttps://www.matec-conferences.org/articles/matecconf/pdf/2021/16/matecconf_sacam21_00012.pdfhttps://doaj.org/toc/2261-236XIn order to assess the capabilities of South Africa as a launch site for commercial satellites, an optimal control solver was developed. The developed solver makes use of direct Hermite-Simpson collocation methods, and can be applied to a general optimal control problem. Analytical first derivative information was obtained for direct Hermite-Simpson collocation methods. Typically, a numerical estimate of the derivative information is used. This paper will present the solver algorithm, and the formulation and derivation of the analytical first derivative information for this approach. A sample problem is provided as validation of the solver.Arunakirinathar Aravindde la Beaujardiere Jean-FrancoisBrooks MichaelEDP SciencesarticleEngineering (General). Civil engineering (General)TA1-2040ENFRMATEC Web of Conferences, Vol 347, p 00012 (2021)
institution	DOAJ
collection	DOAJ
language	EN FR
topic	Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Arunakirinathar Aravind de la Beaujardiere Jean-Francois Brooks Michael Analytical first derivatives of the direct Hermite-Simpson collocation formulation of optimal control problems
description	In order to assess the capabilities of South Africa as a launch site for commercial satellites, an optimal control solver was developed. The developed solver makes use of direct Hermite-Simpson collocation methods, and can be applied to a general optimal control problem. Analytical first derivative information was obtained for direct Hermite-Simpson collocation methods. Typically, a numerical estimate of the derivative information is used. This paper will present the solver algorithm, and the formulation and derivation of the analytical first derivative information for this approach. A sample problem is provided as validation of the solver.
format	article
author	Arunakirinathar Aravind de la Beaujardiere Jean-Francois Brooks Michael
author_facet	Arunakirinathar Aravind de la Beaujardiere Jean-Francois Brooks Michael
author_sort	Arunakirinathar Aravind
title	Analytical first derivatives of the direct Hermite-Simpson collocation formulation of optimal control problems
title_short	Analytical first derivatives of the direct Hermite-Simpson collocation formulation of optimal control problems
title_full	Analytical first derivatives of the direct Hermite-Simpson collocation formulation of optimal control problems
title_fullStr	Analytical first derivatives of the direct Hermite-Simpson collocation formulation of optimal control problems
title_full_unstemmed	Analytical first derivatives of the direct Hermite-Simpson collocation formulation of optimal control problems
title_sort	analytical first derivatives of the direct hermite-simpson collocation formulation of optimal control problems
publisher	EDP Sciences
publishDate	2021
url	https://doaj.org/article/0f2e29cb6dbd4c7ca47d5ad8b4632ec6
work_keys_str_mv	AT arunakirinathararavind analyticalfirstderivativesofthedirecthermitesimpsoncollocationformulationofoptimalcontrolproblems AT delabeaujardierejeanfrancois analyticalfirstderivativesofthedirecthermitesimpsoncollocationformulationofoptimalcontrolproblems AT brooksmichael analyticalfirstderivativesofthedirecthermitesimpsoncollocationformulationofoptimalcontrolproblems
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Analytical first derivatives of the direct Hermite-Simpson collocation formulation of optimal control problems

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