Optimal drive of electric vehicles using an inversion-based trajectory generation approach

This paper considers an energy management problem for an electric vehicle and explains how to solve it with an inversion-based approach. Modeling assumptions are discussed and yield the formulation of a simple, yet representative, optimal control problem to solve. This tutorial problem can serve as a benchmark for future works and other optimization techniques as it comprises the effects of gravity, aerodynamics and the equations of the electric drive. The purpose of this paper is to expose, step by step, how to compute the optimal trajectories using a presented inversion-based approach, in which the state variables, the control, and the adjoint variables are analytically parameterized by a single unknown which satisfies a high order two-point boundary value problem. Numerical results are provided.