Systems and methods for an engine

An engine system, comprising:

• a plurality of cylinders;
• an engine governor with a plurality of engine output demands;
• a common rail fuel injection system, the common rail fuel injection system including a plurality of fuel injectors coupled to the plurality of cylinders;
• a turbocharger including a nozzle ring on a turbine of the turbocharger;
• a camshaft configured for an advanced intake valve closing time;
• a controller including executable instructions stored in non-transitory memory that, when executed, cause the controller to:
• responsive to an engine output demand increasing from a first level to a second level higher than the first level through a first engine notch range, increase an amount of retard of a fuel injection timing of the plurality of fuel injectors relative to top dead center (TDC);
• and
• responsive to the engine output demand further increasing from the second level to a third level higher than the second level through a second engine notch range comprising higher engine notches than the first engine notch range, increase an amount of advance of the fuel injection timing of the plurality of fuel injectors relative to TDC.

A system, comprising:

• an engine including a plurality of cylinders;
• an engine governor with a plurality of engine output demand;
• a common rail fuel injection system, the common rail fuel injection system including a plurality of fuel injectors coupled to the plurality of cylinders;
• a turbocharger including a nozzle ring;
• a camshaft configured for an advanced intake valve closing time;
• a controller including executable instructions stored in non-transitory memory that, when executed, cause the controller to:
• responsive to an engine output demand proportional to an engine notch, adjust a fuel injection timing of the plurality of fuel injectors relative to top dead center (TDC) based on a first non-monotonic relationship between the engine output demand and the fuel injection timing, wherein the fuel injection timing is retarded as the engine output demand increases through a first engine notch range, and wherein the fuel injection timing is advanced as the engine output demand increases through a second engine notch range including engine notches higher than the first engine notch range.