Technical Paper
Fuel-Optimal Power Split and Gear Selection Strategies for a Hybrid Electric Vehicle
2019-09-09
2019-24-0205
This paper presents a computationally inexpensive optimization algorithm to jointly compute the fuel-optimal state and input trajectories for the energy management of a hybrid electric vehicle (HEV) on a known driving mission. Specifically, we first introduce a model of the HEV that we leverage to formulate the fuel-optimal control problem as a mixed-integer convex program. Second, we use Pontryagin’s minimum principle and non-smooth convex analysis to derive the fuel-optimal control policy for the power split, the engine on/off decision, and the gear selection. Third, we combine the optimal control policy with single shooting and a bisection method to compute the optimal strategy for reaching a predefined terminal state of charge in the absence of path constraints. Fourth, we introduce a multi-point boundary value approach to deal with path constraints, thus obtaining the optimal control strategies for a complete driving cycle.