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This chapter reviews the developments and configurations of hybrid electrical vehicles. A classic model for a parallel hybrid electrical vehicle is chosen and modeled. Model pre‐ dictive controllers and simulations for this vehicle model are applied to control the vehi‐ cle speed and power to check the ability of the system to handle the transitional period for the automatic clutch engagement from the electrical driving to the internal combus‐ tion engine (ICE) driving. The chapter produces potential model predictive control con‐ siderations to achieve the optimal real-time control actions subject to the vehicle physical constraints. The new system can be applied for electronic control units in real hybrid ve‐ hicle powertrains.

**Keywords:** Model Predictive Control, Automatic Clutch Engagement, Hybrid Vehicle, Powertrain System
