A method for adjusting the air-fuel ratio in the exhaust gas of a direct injection internal combustion engine, comprising:
- dividing, by an electronic control unit, combusting fuel injection into a plurality of individual injections;
- and
- predictively adjusting, by the electronic control unit, an air-fuel ratio in the exhaust gas of the internal combustion engine for a given load to a value that is necessary for regeneration of an NOx storage catalytic converter in the exhaust system of the internal combustion engine by adjusting a position of a centroid of heat release conversion rates and an injection amount of a total combusting fuel injection using at least one model.