Optimal control for a Formula One car with variable parameters

The minimum-lap-time optimal control problem for a Formula One race car is solved using direct transcription and nonlinear programming. Features of this work include significantly reduced full-lap solution times and the simultaneous optimisation of the driven line, the driver controls and multiple c...

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Bibliographic Details
Published in:Vehicle system dynamics 2014-05, Vol.52 (5), p.653-678
Main Authors: Perantoni, Giacomo, Limebeer, David J.N.
Format: Article
Language:English
Subjects:
Automotive engineering
Computing time
Derivatives
Formula One car modelling
lap-time simulation
Mathematical analysis
Mathematical models
Nonlinear programming
numerical optimal control
Optimal control
Optimization
parameter optimisation
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Summary:The minimum-lap-time optimal control problem for a Formula One race car is solved using direct transcription and nonlinear programming. Features of this work include significantly reduced full-lap solution times and the simultaneous optimisation of the driven line, the driver controls and multiple car set-up parameters. It is shown that significant reductions in the driven lap time can be obtained from track-specific set-up parameter optimisation. Reduced computing times are achieved using a combination of a track description based on curvilinear coordinates, analytical derivatives and model non-dimensionalisation. The curvature of the track centre line is found by solving an auxiliary optimal control problem that negates the difficulties associated with integration drift and trajectory closure.
ISSN:0042-3114
1744-5159
DOI:10.1080/00423114.2014.889315