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Autores principales: Eshof, Erik van den, de Vries, Wytze, van Kampen, Jorn, Salazar, Mauro
Formato: Preprint
Publicado: 2025
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Acceso en línea:https://arxiv.org/abs/2511.13522
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author Eshof, Erik van den
de Vries, Wytze
van Kampen, Jorn
Salazar, Mauro
author_facet Eshof, Erik van den
de Vries, Wytze
van Kampen, Jorn
Salazar, Mauro
contents This paper presents a modeling and optimization framework to compute the minimum-lap-time spatial trajectory and powertrain operation of racing cars in a computationally efficient fashion. Specifically, we first derive a quasi-steady-state model of a racing car, whereby the racing line trajectory is jointly optimized. Next, we frame the minimum-lap-time problem and leverage its mostly convex structure by devising a sequential convex programming solution algorithm. We benchmark our method against off-the-shelf nonlinear programming solvers, showing how it can bring computation time down from a few minutes to a few seconds, paving the way for real-time implementations. Moreover, we compare our results to similarly efficient minimum-curvature racing line optimization methods, showing how a minimum-time-based racing line might lead to 4% faster lap-times. Finally, we showcase our framework for optimal powertrain energy management and we validate the common modeling assumption that the racing line is unaffected by energy limitations, showing that this assumption results in marginal lap-time losses of under 0.1%.
format Preprint
id arxiv_https___arxiv_org_abs_2511_13522
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Sequential Convex Programming Approach to Free-trajectory Minimum-lap-time Optimization of Racing Cars
Eshof, Erik van den
de Vries, Wytze
van Kampen, Jorn
Salazar, Mauro
Optimization and Control
This paper presents a modeling and optimization framework to compute the minimum-lap-time spatial trajectory and powertrain operation of racing cars in a computationally efficient fashion. Specifically, we first derive a quasi-steady-state model of a racing car, whereby the racing line trajectory is jointly optimized. Next, we frame the minimum-lap-time problem and leverage its mostly convex structure by devising a sequential convex programming solution algorithm. We benchmark our method against off-the-shelf nonlinear programming solvers, showing how it can bring computation time down from a few minutes to a few seconds, paving the way for real-time implementations. Moreover, we compare our results to similarly efficient minimum-curvature racing line optimization methods, showing how a minimum-time-based racing line might lead to 4% faster lap-times. Finally, we showcase our framework for optimal powertrain energy management and we validate the common modeling assumption that the racing line is unaffected by energy limitations, showing that this assumption results in marginal lap-time losses of under 0.1%.
title A Sequential Convex Programming Approach to Free-trajectory Minimum-lap-time Optimization of Racing Cars
topic Optimization and Control
url https://arxiv.org/abs/2511.13522