  This work presents a stochastic dynamic programming (SDP) algorithm that aims
at minimizing an economic criteria based on the total energy consumption of a
range extender electric vehicle (REEV). This algorithm integrates information
from the REEV's navigation system in order to obtain some information about
future expected vehicle speed. The model of the vehicle's energetic system,
which consists of a high-voltage (HV) battery, the main energy source, and an
internal combustion engine (ICE), working as an auxiliary energy source), is
written as a hybrid dynamical system and the associated optimization problem in
the hybrid optimal control framework. The hybrid optimal control problem
includes two important physical constraints on the ICE, namely, an activation
delay and a decision lag. Three methods for the inclusion of such physical
constraints are studied. After introducing the SDP algorithm formulation we
comment on numerical results of the stochastic algorithm and its deterministic
counterpart.
