A controller recognizes that fuel is and is not actually injected when an amplitude of fuel pressure fluctuations detected by a pressure sensor is not less than and is less than a pressure threshold α, respectively, to obtain a number N of actual fuel injections and determines that a fuel addition valve operates normally and has malfunction when a ratio (N/S) of the obtained numbers N of the actual fuel injections to a number S of the fuel injection commands is not less than and is less than a number ratio threshold β, respectively.