A controller for a vehicle internal combustion engine exhaust gas after-treatment system, the exhaust gas treatment system including a selective catalyst reduction on filter (SCRF) exhaust gas after-treatment device in communication with exhaust gases from the internal combustion engine and having a treated exhaust gas output, an oxides of nitrogen (NOx) sensor coupled to the treated exhaust gas output, the NOx sensor having a NOx sensor output signal that is NOx and ammonia (NH3) cross-sensitive, and an electronic control unit (ECU) operatively coupled to the internal combustion engine and the exhaust gas after-treatment system, the controller comprising:
- a NOx sensor model coupled to receive the NOx sensor output signal and an exhaust gas mass flow data signal and to provide a NOx model signal to the ECU that is operatively associated with the exhaust gas after-treatment system and the internal combustion engine, wherein
- the NOx model signal represents an exhaust gas NOx concentration estimate based upon an actual NOx concentration and an actual NH3 concentration of the exhaust gas and the ECU is arranged to be operable upon the NOx concentration estimate to control the exhaust gas after-treatment system and the internal combustion engine to effect an overall reduction in actual NOx concentration with the exhaust gases.