Method for controlling the starting of a heat engine in a vehicle equipped with a hybrid transmission

A method for controlling the starting of an internal combustion engine implemented in an electric hybrid vehicle having a powertrain comprising said internal combustion engine and a hybrid transmission system, said hybrid transmission system having a rotating electric machine that is coupled to said internal combustion engine via a clutch device, wherein it comprises, during a phase for starting said internal combustion engine with said rotating electric machine while said vehicle is rolling, controlling said clutch device by means of a maximum clutch torque setpoint which is determined according to a predetermined maximum engine speed gradient of said internal combustion engine and a moment of inertia of said internal combustion engine, and controlling said internal combustion engine by means of a maximum internal combustion engine torque setpoint which is determined according to a difference between said maximum clutch torque setpoint and a torque transmitted by said clutch device.