CONTROL DEVICE FOR VEHICLE AND METHOD OF CONTROLLING VEHICLE

A control device for a vehicle includes a control unit configured to: implement a first travelling mode of engaging a power connecting/disconnecting device at a time an accelerator opening is greater than a fully closed state and not greater than a first opening; implement a second travelling mode of releasing the power connecting/disconnecting device at a time the accelerator opening is greater than the first opening and smaller than a second opening; implement a third travelling mode of stopping a fuel supply to an engine with the power connecting/disconnecting device engaged at a time the accelerator opening is fully closed; and control an output of the engine so that a vehicle deceleration at a time of implementing the first travelling mode gradually changes.