In an engine, when it is determined that catalyst, which is held on a filter substrate of a particulate filter, is not in an active state, an ECU executes a fuel injection for mainly obtaining an engine power near a top dead center of a crank. Then, the ECU executes a subsequent fuel injection after lapse of a sufficient injection interval, which does not cause misfiring, to increase the temperature of exhaust gas outputted from the engine. In this way, the temperature of the filter is rapidly increased.