Geodesic
Geometric and numerical methods for a state constrained minimum time control problem of an electric vehicle
Cots, Olivier1 
1 Toulouse Univ., INP-ENSEEIHT-IRIT, UMR CNRS 5505, 2 rue Camichel 31071 Toulouse, France.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 4, pp. 1715-1749

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In this article, the minimum time control problem of an electric vehicle is modeled as a Mayer problem in optimal control, with affine dynamics with respect to the control and with state constraints. The candidates as minimizers are selected among a set of extremals, solutions of a Hamiltonian system given by the maximum principle. An analysis, with the techniques of geometric control, is used first to reduce the set of candidates and then to construct the numerical methods. This leads to a numerical investigation based on indirect methods using the HamPath software. Multiple shooting and homotopy techniques are used to build a synthesis with respect to the bounds of the boundary sets.

Reçu le :
Accepté le :
DOI : 10.1051/cocv/2016070
Classification : 49K15, 49M05, 90C90, 80M50
Keywords: Geometric optimal control, state constraints, shooting and homotopy methods, electric car

Cots, Olivier 1

1 Toulouse Univ., INP-ENSEEIHT-IRIT, UMR CNRS 5505, 2 rue Camichel 31071 Toulouse, France. 
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     title = {Geometric and numerical methods for a state constrained minimum time control problem of an electric vehicle},
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     pages = {1715--1749},
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Cots, Olivier. Geometric and numerical methods for a state constrained minimum time control problem of an electric vehicle. ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 4, pp. 1715-1749. doi: 10.1051/cocv/2016070

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