The individual time trial as an optimal control problem

In a cycling time trial, the rider needs to distribute his power output optimally to minimize the time between start and finish. Mathematically, this is an optimal control problem. Even for a straight and flat course, its solution is non-trivial and involves a singular control, which corresponds to...

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Detalles Bibliográficos
Autores principales: de Jong, Jenny, Fokkink, Robbert, Olsder, Geert Jan, Schwab, AL
Formato: Online Artículo Texto
Lenguaje:English
Publicado: SAGE Publications 2017
Materias:
Special Issue Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5761709/
https://www.ncbi.nlm.nih.gov/pubmed/29388631
http://dx.doi.org/10.1177/1754337117705057
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author de Jong, Jenny
Fokkink, Robbert
Olsder, Geert Jan
Schwab, AL
author_facet de Jong, Jenny
Fokkink, Robbert
Olsder, Geert Jan
Schwab, AL
author_sort de Jong, Jenny
collection PubMed
description In a cycling time trial, the rider needs to distribute his power output optimally to minimize the time between start and finish. Mathematically, this is an optimal control problem. Even for a straight and flat course, its solution is non-trivial and involves a singular control, which corresponds to a power that is slightly above the aerobic level. The rider must start at full anaerobic power to reach an optimal speed and maintain that speed for the rest of the course. If the course is flat but not straight, then the speed at which the rider can round the bends becomes crucial.
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spelling pubmed-57617092018-01-29 The individual time trial as an optimal control problem de Jong, Jenny Fokkink, Robbert Olsder, Geert Jan Schwab, AL Proc Inst Mech Eng P J Sport Eng Technol Special Issue Articles In a cycling time trial, the rider needs to distribute his power output optimally to minimize the time between start and finish. Mathematically, this is an optimal control problem. Even for a straight and flat course, its solution is non-trivial and involves a singular control, which corresponds to a power that is slightly above the aerobic level. The rider must start at full anaerobic power to reach an optimal speed and maintain that speed for the rest of the course. If the course is flat but not straight, then the speed at which the rider can round the bends becomes crucial. SAGE Publications 2017-05-04 2017-09 /pmc/articles/PMC5761709/ /pubmed/29388631 http://dx.doi.org/10.1177/1754337117705057 Text en © IMechE 2017 http://creativecommons.org/licenses/by-nc/4.0/ This article is distributed under the terms of the Creative Commons Attribution-NonCommercial 4.0 License (http://www.creativecommons.org/licenses/by-nc/4.0/) which permits non-commercial use, reproduction and distribution of the work without further permission provided the original work is attributed as specified on the SAGE and Open Access page (https://us.sagepub.com/en-us/nam/open-access-at-sage).
spellingShingle Special Issue Articles
de Jong, Jenny
Fokkink, Robbert
Olsder, Geert Jan
Schwab, AL
The individual time trial as an optimal control problem
title The individual time trial as an optimal control problem
title_full The individual time trial as an optimal control problem
title_fullStr The individual time trial as an optimal control problem
title_full_unstemmed The individual time trial as an optimal control problem
title_short The individual time trial as an optimal control problem
title_sort individual time trial as an optimal control problem
topic Special Issue Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5761709/
https://www.ncbi.nlm.nih.gov/pubmed/29388631
http://dx.doi.org/10.1177/1754337117705057
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