  We present a Model Predictive Control (MPC) algorithm for energy management
in aircraft with hybrid electric propulsion systems consisting of gas turbine
and electric motor components. Series and parallel configurations are
considered. By combining a point-mass aircraft dynamical model with models of
electrical losses and losses in the gas turbine, the fuel consumed over a given
future flight path is minimised subject to constraints on the battery, electric
motor and gas turbine. The resulting optimisation problem is used to define a
predictive energy management control law that takes into account the variation
in aircraft mass during flight. We investigate the performance of algorithms
for solving this problem. A bespoke Alternating Direction Method of Multipliers
(ADMM) algorithm is proposed and compared with a general purpose convex solver
(CVX). We show the suitability of the methodology for the context of a
real-time online supervisory energy management controller.
