In a control apparatus, a calculation calculates an additional heating amount for an exhaust gas from an internal combustion engine in accordance with an activity of an exhaust purification catalyst in response to the internal combustion engine being required to be started after start of heating of the exhaust purification catalyst by an electric heating device. A drive control unit controls, in accordance with the additional heating amount for the exhaust gas, an amount of heat of the exhaust gas from the internal combustion engine.