CONTROL DEVICE FOR HYBRID ELECTRIC VEHICLE

A control device performs braking using a regenerative brake based on power generation in a motor generator in motor-driven traveling and performs a battery protecting process of starting an engine to set up transmission of a driving force between the motor generator and the engine using a clutch and performing braking based on an engine brake when a state of charge of a battery is equal to or greater than a threshold value in the motor-driven traveling. The control device sets a fuel-cutoff-permission rotation speed to a second rotation speed lower than a first rotation speed when the engine is started through the battery protecting process.