Global Solutions to the Complete Vehicle Energy Management Problem via Forward-Backward Operator Splitting

Abstract

Complete Vehicle energy Management (CVEM) aims to minimize the energy consumption of all subsystems in a vehicle. We consider the case where the subsystems consist of energy buffers with linear dynamics and/or energy converters with quadratic power losses. In this paper, we show the existence of only global solutions for the CVEM optimal control problem and propose a reformulation of this problem so that it can be solved using a Forward-Backward splitting algorithm for nonconvex optimization problems. The regularization properties inherent to this algorithm allow us to solve CVEM cases that were difficult using other approaches as dual decomposition.