  This paper details an investigation into the computational performance of
algorithms used for solving a convex formulation of the optimization problem
associated with model predictive control for energy management in hybrid
electric vehicles with nonlinear losses. A projected interior point method is
proposed, where the size and complexity of the Newton step matrix inversion is
reduced by applying inequality constraints on the control input as a
projection, and its properties are demonstrated through simulation in
comparison with an alternating direction method of multipliers (ADMM)
algorithm, and general purpose convex optimization software CVX. It is found
that the ADMM algorithm has favourable properties when a solution with modest
accuracy is required, whereas the projected interior point method is favourable
when high accuracy is required, and that both are significantly faster than
CVX.
