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Optimal Pacing of a Cyclist in a Time Trial Based on Experimentally Calibrated Models of Fatigue and Recovery

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Document pages: 14 pages

Abstract: In this paper, we first report the use of experimental data from six humansubjects to validate and calibrate our proposed dynamic models for fatigue andrecovery of cyclists in [1]. These models are employed to formulate pacingstrategy of a cyclist during a time trial as an optimal control problem. Vianecessary conditions of Pontryagin Minimum Principle (PMP), we show that thecyclist s optimal power is limited to four modes in a time-trial. To determinewhen to switch between them, we resort to numerical solution via dynamicprogramming. One of the subjects is then simulated on four courses includingthe 2019 Duathlon National Championship in Greenville, SC. The DP simulationresults show reduced time over experimental results of the self-paced subjectwho is a competitive amateur cyclist.

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