A method of controlling power to a vehicle accessory gradually shuts down power to the vehicle accessory and gradually restores power to the vehicle accessory. After a request for an auto-shutdown of an internal combustion engine of a vehicle is detected, power to the vehicle accessory is reduced on a predetermined schedule responsive to such detection. The occurrence of a restart of the internal combustion engine of a vehicle is determined, and power supplied to the vehicle accessory is increased on a predetermined schedule responsive to the restart.