A computer for controlling a drivetrain of a hybrid vehicle including a combustion engine, an electric machine, a battery and a “heated” catalytic converter including an internal heating system. The computer being configured to determine a plurality of values for a criterion pertaining to the energy consumption of the drivetrain as a function of the distribution of torque between the at least one combustion engine and the at least one electric machine, of the at least one combustion mode of the combustion engine, and of the energy consumption due to the use of the catalytic converter, select the minimum value of the consumption criterion, apply the combustion engine torque command, the electric machine torque command, the command pertaining to the energy consumption by the catalytic converter and the command pertaining to the combustion mode of the combustion engine corresponding to the selected value of the consumption criterion.