In spite of what some of the manufacturers would have us believe fully automated cars are a very long way off. I am sure it will happen but it will be at least a decade IMO. The complexities to be able to cope safely with all possible scenarios on the public roads are huge and then also the legal, liability and insurance aspects are a big obstacle too.
Nothing is insurmountable but IMO it will take many years before the public will accept it. It took ages to accept driverless trains but they are mostly accepted now but cars are a completely different kettle of fish