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

ESAIM: Control, Optimisation and Calculus of Variations (2013)

- Volume: 19, Issue: 2, page 516-532
- ISSN: 1292-8119

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topJan, Sophie. "Minimizing the fuel consumption of a vehicle from the Shell Eco-marathon: a numerical study." ESAIM: Control, Optimisation and Calculus of Variations 19.2 (2013): 516-532. <http://eudml.org/doc/272889>.

@article{Jan2013,

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.},

author = {Jan, Sophie},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {optimal control; singular arcs; nonlinear programming; continuation method; indirect multiple shooting; bang-bang solution},

language = {eng},

number = {2},

pages = {516-532},

publisher = {EDP-Sciences},

title = {Minimizing the fuel consumption of a vehicle from the Shell Eco-marathon: a numerical study},

url = {http://eudml.org/doc/272889},

volume = {19},

year = {2013},

}

TY - JOUR

AU - Jan, Sophie

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

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2013

PB - EDP-Sciences

VL - 19

IS - 2

SP - 516

EP - 532

AB - 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.

LA - eng

KW - optimal control; singular arcs; nonlinear programming; continuation method; indirect multiple shooting; bang-bang solution

UR - http://eudml.org/doc/272889

ER -

## References

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