Control method for a parallel hybrid traction system for a vehicle with an automatic transmission

Method for controlling a parallel hybrid driving system for a vehicle equipped with automatic gear box, internal combustion engine, electric motor-generator and traction batteries. The method controls the functioning of the driving system according to a hybrid mode and an electric mode and - it determines at the starting of the internal combustion engine the functioning in hybrid mode; - it determines the shifting to the electric mode, automatically driven, wherein the internal combustion engine is stopped, if: the vehicle's speed is lower than a threshold; if the status of charge (SOC) of the traction batteries is higher than a minimum percentage value (SOC min ) ; if no faults are detected (Faults=0).