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The individual time trial as an optimal control problem.

Jenny de Jong1, Robbert Fokkink2, Geert Jan Olsder2

  • 1Utrecht University, Faculty of Mathematics, The Netherlands.

Proceedings of the Institution of Mechanical Engineers. Part P, Journal of Sports Engineering and Technology
|February 2, 2018
PubMed
Summary
This summary is machine-generated.

Optimal cycling time trial strategy requires balancing anaerobic and aerobic power. Riders should use high anaerobic power initially, then sustain a slightly higher-than-aerobic power to minimize race time.

Keywords:
Bicyclingindividual time trialmaximum principleoptimal controlpower equation

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Area of Science:

  • Sports Science
  • Biomechanics
  • Applied Mathematics

Background:

  • Cycling time trials demand strategic power output for optimal performance.
  • The problem of minimizing time is mathematically framed as an optimal control problem.

Purpose of the Study:

  • To determine the optimal power distribution strategy for cyclists in a time trial.
  • To analyze the influence of course geometry on optimal pacing.

Main Methods:

  • Mathematical modeling of optimal control.
  • Analysis of power output dynamics in cycling.

Main Results:

  • The optimal strategy involves an initial high anaerobic power burst.
  • A sustained power output slightly above the aerobic threshold is required.
  • Cornering speed is a critical factor on non-straight courses.

Conclusions:

  • Effective time trial pacing necessitates a combination of anaerobic and aerobic energy systems.
  • Course characteristics, particularly bends, significantly impact optimal speed and power management.