Driving assistance function for a vehicle stationary on a slope

A braking system for applying a brake to keep a vehicle stopped on a slope and comprising;

• a brake,
• a plurality of sensors for measuring a plurality of operating conditions of the vehicle and providing measurement signals and including a slope sensor for measuring a slope angle and a velocity sensor for measuring a vehicle velocity and a gear lever sensor for measuring a gear lever position and an torque sensor for measuring an engine torque,
• a controller responsive to said measurement signals for comparing said measured slope angle to a predetermined threshold slope angle and for comparing said measured vehicle velocity to a predetermined threshold vehicle velocity and for comparing said measured gear lever position to a predetermined threshold gear lever position and for calculating a theoretical engine torque based on said measured slope angle, and
• said controller being operably connected to said brake for applying said brake in response to said slope angle being greater than said predetermined slope angle and said vehicle velocity being less than said predetermined threshold vehicle velocity and said gear lever position being the same as said predetermined threshold gear lever position and for releasing said brake in response to said measured engine torque being greater than said calculated theoretical engine torque.