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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Main Authors: Perantoni, G, Limebeer, D
Format: Journal article
Published: Taylor and Francis 2014
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author Perantoni, G
Limebeer, D
author_facet Perantoni, G
Limebeer, D
author_sort Perantoni, G
collection OXFORD
description 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. © 2013 Taylor and Francis.
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spelling oxford-uuid:ce1a7106-0a2c-41af-8449-41541220809f2022-03-27T07:33:29ZOptimal control for a Formula One car with variable parametersJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ce1a7106-0a2c-41af-8449-41541220809fSymplectic Elements at OxfordTaylor and Francis2014Perantoni, GLimebeer, DThe 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. © 2013 Taylor and Francis.
spellingShingle Perantoni, G
Limebeer, D
Optimal control for a Formula One car with variable parameters
title Optimal control for a Formula One car with variable parameters
title_full Optimal control for a Formula One car with variable parameters
title_fullStr Optimal control for a Formula One car with variable parameters
title_full_unstemmed Optimal control for a Formula One car with variable parameters
title_short Optimal control for a Formula One car with variable parameters
title_sort optimal control for a formula one car with variable parameters
work_keys_str_mv AT perantonig optimalcontrolforaformulaonecarwithvariableparameters
AT limebeerd optimalcontrolforaformulaonecarwithvariableparameters