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Optimisation de consommation pour un véhicule de type voiture

Abstract : The present thesis is a study of an optimal control problem having a non-differentiable, but Lipschitz, costfunction. It is inspired by the minimization of the energy consumption of a car-like vehicle or robot along aroad which profile is known. This problem is stated by means of a simple model of the longitudinal dynamicsand a running cost that comprises both an absolute value function and a function that accounts for theefficiency of the energy conversion process. A regularity result that excludes chattering phenomena from theset of solutions is proven. It is valid for the class of control affine systems, which includes the consideredproblem. Three case studies are detailed and analysed. The optimal trajectories are shown to be made of bang,inactivated and backward arcs.
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Submitted on : Tuesday, July 10, 2018 - 5:53:06 PM
Last modification on : Monday, March 30, 2020 - 8:46:26 AM
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  • HAL Id : tel-01834675, version 1


Ouazna Oukacha. Optimisation de consommation pour un véhicule de type voiture. Mathématiques générales [math.GM]. Université de Toulon, 2017. Français. ⟨NNT : 2017TOUL0016⟩. ⟨tel-01834675⟩



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