An exhaust line fuel injection system and associated methods of operation and control are disclosed. The fuel passes through a regulating valve connected to a pressurized fuel source and an outlet connected to an exhaust system fuel supply line. The exhaust system fuel supply line is connected to a nozzle, which generally comprises a check-valve and is configured to inject the fuel into the exhaust line. Using a pressure measuring device, an indication of the exhaust system fuel supply line pressure is obtained. A controller provides control over the flow regulating valve using feedback from the pressure indication and a predetermined relationship between the flow rate through the nozzle and one of the exhaust system fuel supply line pressure and the pressure drop across the nozzle. The method can be implemented with a single pressure measuring device. The same pressure measurements, especially their frequency spectrum, can be used to detect system faults.