Volkswagen's vision of the future includes automated parking and charging:

"This is what parking will look like in the future. Fully automatically, the car finds a parking space and in case of electric vehicles, will also drive itself to a charging station. V-charge is the name of this technology and it’s operational today."

More details on Volkswagen Group's self-parking technology, as well as video of robots charging the cars, can be found here.

Details on the V Charge project (a collaborative effort in Europe) can be found here.