The individual time trial as an optimal control problem-Reference-Cited by-同舟云学术

The individual time trial as an optimal control problem

Published:2017-05-04 Issue:3 Volume:231 Page:200-206
ISSN:1754-3371
Container-title:Proceedings of the Institution of Mechanical Engineers, Part P: Journal of Sports Engineering and Technology
language:en
Short-container-title:Proceedings of the Institution of Mechanical Engineers, Part P: Journal of Sports Engineering and Technology

Author:

de Jong Jenny¹,Fokkink Robbert²,Olsder Geert Jan²,Schwab AL³

Affiliation:

1. Utrecht University, Faculty of Mathematics, The Netherlands

2. Delft University of Technology, Faculty EEMCS, The Netherlands

3. Delft University of Technology, Biomechanical Engineering, The Netherlands

Abstract

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.

Publisher

SAGE Publications

Subject

General Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/1754337117705057

Reference11 articles.

1. Determination of optimal pacing strategy in track cycling with an energy flow model

2. Determining optimal pacing strategy for the track cycling individual pursuit event with a fixed energy mathematical model

3. A Variational Approach to Determine the Optimal Power Distribution for Cycling in a Time Trial

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