As a current undergraduate student in Mechanical Engineering, I'll tell you one thing, Mechanical, Electrical and Computer Engineering, as well as (but very limited) Computer Science, get a lot of experience with the concept of robots and automation. As far as a program that specializes in rolling everything into one nicely named major, it happens but it is rare. Pretty much a Robotics major would have almost an identical course load to any Mechanical, Electrical or Computer Engineering major. The concept of having a major that specializes in combing all of them into one would in reality only do some educational justice if you were in school for about...6 years. And for that reason, it is primarily a graduate degree. One program that is worth looking into is Mechatronics offered up at the University of Waterloo, pretty much it's a Mechanical Engineering and Electrical Engineering hybrid.
Anyway, I'm not the one to ask about Mechatronics degrees, I am however a person to talk to if you are interested in the
University of Dayton, I am a tour guide and I specialize in Prospective Engineering Students... Good Luck!