Real-Time Model Predictive Control for a Parallel Hybrid Electric Vehicle using Outer Approximation and Semi-Convex Cut Generation**This work has been carried out within the framework of KU Leuven - BOF PFV/10/002 Centre of Excellence: Optimization in Engineering (OPTEC) and DrivetrainCodesign: Flanders Make ICON: Physical and control co-design of electromechanical drivetrains for machines and vehicles. Flanders Make is the Flemish strategic research centre for the manufacturing industry.