The individual time trial as an optimal control problem

Title

The individual time trial as an optimal control problem

 Author

De Jong, Jenny (Universiteit Utrecht)
Fokkink, R.J. (TU Delft Applied Probability) ORCID 0000-0001-8347-4110
Olsder, G.J. (TU Delft Discrete Mathematics and Optimization)
Schwab, A.L. (TU Delft Biomechatronics & Human-Machine Control) ORCID 0000-0001-5897-9790

 Date

2017-05-04

 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.

 Subject

Bicycling
individual time trial
maximum principle
optimal control
power equation

 To reference this document use:

http://resolver.tudelft.nl/uuid:891c5cd8-3d0e-4a48-a445-3a8e3fea97a1

 ISSN

1754-3371

 Source

Institution of Mechanical Engineers. Proceedings. Part P: Journal of Sports, Engineering and Technology, 231 (3), 200-206

 Part of collection

Institutional Repository

 Document type

journal article

 Rights

© 2017 Jenny De Jong, R.J. Fokkink, G.J. Olsder, A.L. Schwab
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