[...] A large number of problems that are related to this issue have already been analyzed many times.
Even so, you can still find enough for your degree, especially if you can come up with something new, but perhaps tis is a pointer that it's not really what you wanna do.
What are the possibilities of performing research on the reaction and response of the robot in relation to moving objects in a certain environment, or something similar?
About endless really.
Perhaps this video may be of some inspiration, I've watched it numerous times during several years now and I'm equally amazed each time.
I think you should choose the specifics from where your passions are. That and a burning curiosity is the best propellant towards a "paper" - just remember that disproving what you set out to prove is an equally valid result, so try to be as objective as humanly possible