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Article Dans Une Revue ESAIM: Control, Optimisation and Calculus of Variations Année : 2013

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

Sophie Jan

Résumé

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.
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Dates et versions

hal-00955206 , version 1 (18-08-2020)

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Sophie Jan. Minimizing the fuel consumption of a vehicle from the Shell Eco-marathon: a numerical study. ESAIM: Control, Optimisation and Calculus of Variations, 2013, pp.516-532. ⟨10.1051/cocv/2012019⟩. ⟨hal-00955206⟩
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