Systems and methods for controlling an engine are disclosed. A method for controlling an engine includes receiving a predetermined quantity of sensor values from a memory operatively connected to a sensor, each of the sensor values indicative of an operating condition of an inlet of a diesel particulate filter of the engine sensed by the sensor at a successive instance in time. A parameter of the operating condition of the inlet at a next instance of time may be estimated based on the predetermined quantity of sensor values. The estimation of the parameter may be used as a boundary condition to adjust an operational model of the engine stored in the memory. The adjusted operational model may be used to determine an engine command for the engine that optimizes operation of the engine. The engine may be operated based on the engine command determined using the adjusted operational model.