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• W2803107073 abstract "Abstract The present article is a study of an optimal control problem having a non‐differentiable, but Lipschitz, cost function. It is inspired by the minimisation of the energy consumption of a car‐like vehicle or robot along a road which profile is known. This problem is stated by means of a simple model of the longitudinal dynamics and a running cost that comprises both an absolute value function and a function that accounts for the efficiency of the energy conversion process. A regularity result that excludes chattering phenomena from the set of solutions is proven. It is valid for the class of control affine systems, which includes the considered problem. Three case studies are detailed and analysed. The optimal trajectories are shown to be made of bang‐bang, inactivated, singular and backward arcs." @default.
• W2803107073 created "2018-06-01" @default.
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• W2803107073 date "2020-05-20" @default.
• W2803107073 modified "2023-10-16" @default.
• W2803107073 title "Consumption minimization for an academic model of a vehicle" @default.
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• W2803107073 doi "https://doi.org/10.1002/oca.2604" @default.
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