A vehicle includes an engine that combusts an air/fuel mixture to produce an exhaust gas stream containing oxides of nitrogen (NOx). A dosing system injects an amount of ammonia (NH3) into the exhaust gas stream based on an initial NH3 injection set point value. A selective catalyst reduction (SCR) device absorbs an amount of the NH3 contained in the exhaust gas stream and reduces an amount of NOx. An electronic hardware controller predicts an NH3 slip condition during which a portion the absorbed NH3 will slip from the SCR device, and modifies the initial NH3 injection set point value based on the predicted NH3 slip condition. The controller further generates a modified NH3 injection set point signal indicating an adjusted amount of the NH3 to inject during the predicted NH3 slip condition. The dosing system adjusts the amount of injected NH3 based on the modified NH3 injection set point signal.