This thesis addresses the development of a Power Supervisory Control algorithm for a Fuel Cell Hybrid Electric Vehicle (FCHEV). Our main goal is to satisfy the driver's engine power requests while also reducing fuel consumption and emissions via a suitable Energy Management Strategy (EMS). We opt for an online approach via Model Predictive Control (MPC), which aims at achieving an optimal power distribution between the various electrical components of the vehicle, with a focus on minimizing hydrogen consumption and extending said components' lifetime. We derive and linearize the required analytical model and then incorporate them into the control problem setup along with data either provided by component manufacturers or obtained via simulations.