We were talking about this at work last night, and think stores will go to some kind of conveyor belt system for cooking, like Burger King used to have, instead of a robot. As it is, newer Wendy's stores have semi-automated grills. You place the burgers on a portion of the grill, lower an arm with built in heating element on top, so it cooks on both sides at the same time, and after a programmed amount of time (depending on it being a 2oz, 4oz burger, or chicken patty) the arm rises to remove the meat.
It's similar to this, not the exact model though.
http://www.taylor-company.com/en/product-detail/model-l811