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Minimizing the fuel consumption of a vehicle from the Shell Eco-marathon: a numerical study∗

Published online by Cambridge University Press:  21 February 2013

Sophie Jan
Sophie Jan*
Affiliation:
Université de Toulouse & CNRS, Institut de Mathématiques de Toulouse, UMR 5219, 31062 Toulouse Cedex 9, France. sophie.jan@math.univ-toulouse.fr
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Abstract

We apply four different methods to study an intrinsically bang-bang optimal control problem. We study first a relaxed problem that we solve with a naive nonlinear programming approach. Since these preliminary results reveal singular arcs, we then use Pontryagin’s Minimum Principle and apply multiple indirect shooting methods combined with homotopy approach to obtain an accurate solution of the relaxed problem. Finally, in order to recover a purely bang-bang solution for the original problem, we use once again a nonlinear programming approach.

Keywords

Optimal controlsingular arcsnonlinear programmingcontinuation methodindirect multiple shooting
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 19 , Issue 2 , April 2013 , pp. 516 - 532
Copyright
© EDP Sciences, SMAI, 2013

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