In an internal combustion engine provided with a rotary intake control valve, preferable position convergence at the end of inertia supercharging is ensured while avoiding an influence on combustion performance. In an engine provided with an impulse valve, if the implementation of the inertia supercharging is stopped and a request to maintain the impulse valve at a fully-opened position is made, an ECU stops the supply of a braking force to the impulse valve until the rotational phase of the impulse valve enters dead band, and the ECU performs a BRK mode for stopping the impulse valve under the condition that the rotational phase enters the dead band and that the impulse valve is in a deceleration state. At this time, electrification or power distribution for acceleration of the impulse valve during stop control of the impulse valve is forbidden. Moreover, the converging position of the impulse valve by the BRK mode is allowed to deviate in a range with an allowable width set in advance with respect to a target.