The individual time trial as an optimal control problem

Journal Article (2017)
Author(s)

Jenny De Jong (Universiteit Utrecht)

R.J. Fokkink (TU Delft - Applied Probability)

G.J. Olsder (TU Delft - Discrete Mathematics and Optimization)

Arend Schwab (TU Delft - Biomechatronics & Human-Machine Control)

Research Group
Applied Probability
Copyright
© 2017 Jenny De Jong, R.J. Fokkink, G.J. Olsder, A.L. Schwab
More Info
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Publication Year
2017
Language
English
Copyright
© 2017 Jenny De Jong, R.J. Fokkink, G.J. Olsder, A.L. Schwab
Research Group
Applied Probability
Issue number
3
Volume number
231
Pages (from-to)
200-206
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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.