The internal combustion engine includes a turbocharger and a waste-gate valve. When the operation resumption request is generated while the internal combustion engine is stopped due to automatic stop control, the waste-gate valve fully opens as far as the engine speed is not lower than a predetermined revolution speed. Further, self-recovery control is executed over the internal combustion engine (or more specifically, a fuel injection and ignition operation is resumed). Meanwhile, in a case where the engine speed is lower than the predetermined revolution speed when the operation resumption request is generated, the waste-gate valve fully closes. Subsequently, stop control, which has already been initiated, is continuously executed to bring the internal combustion engine to a complete stop. The waste-gate valve reverts to an open position in preparation for the restart of the internal combustion engine.