A heavy duty truck includes a diesel engine, an exhaust after-treatment system, and an engine control unit. The exhaust after-treatment system may include one or more selective catalytic reduction systems, each with a respective heater, and each heater with a respective pair of temperature sensors, one upstream and the other downstream of the heater. Such systems may be used to perform diagnostic methods including populating a lookup table having heat energy supplied to an exhaust gas stream by the diesel engine as a first independent variable, heat energy supplied to the exhaust gas stream by a heater as a second independent variable, and a resulting temperature as an output. Such a lookup table can be used to maintain a temperature of the exhaust gas flow at a constant target temperature.