Transient soot model system and control process

A method for controlling soot of an internal combustion engine comprising the steps of:

• operating an internal combustion engine, the internal combustion engine having a plurality of engine operating condition sensors configured to sense engine operating conditions, and an electronic control unit (ECU) with one or more processors and a non transitory computer-readable medium storing computer-executable instructions, the computer-executable instructions comprising a Gaussian process model, the ECU configured to receive engine operating condition data from the plurality of engine operating condition sensors sensing engine operating conditions of the internal combustion engine;
• calculating an actual air fuel ratio;
• providing the actual air fuel ratio, engine speed, engine torque, rail pressure and SOI to the Gaussian process model and calculating a soot model output based on the actual air fuel ratio;
• calculating a desired air fuel ratio;
• providing the desired air fuel ratio, engine speed, engine torque, rail pressure and SOI to the Gaussian process model and calculating a soot model output based on the desired air fuel ratio;
• determining a soot offset value based upon a difference between the soot model output based on the desired air fuel ratio and the soot model output based on the actual air fuel ratio;
• and
• controlling a soot emission of the internal combustion engine during a transient operation based on the determined soot offset value.