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This work presents a theoretical study on a linear 3-DOF vehicle handling model which, incorporates driver's operation and vehicle suspension derivatives. The model is constructed to investigate the performance of vehicles with conventional front steering system and vehicles with actively controlled front wheel steering system as well. The control strategy of the Active Front Steering (AFS) control is based on the optimal control theory using LQR technique. The vehicle model excitation is a simulation of the aerodynamic forces and moments generated on a passenger car when overtaking a truck. Results are showing a comparison between the performance of the vehicle with conventional steering system and the vehicle with Active Front Steering (AFS) system. A significant improvement with the AFS optimal system is achieved in the vehicle response especially for lateral deviation error.