Let's have a look at this imaginative NASA animation, that illustrates a possible future mission to an asteroid - with astronauts:
Near-Earth Asteroid - Mission Animation
Link: http://www.youtube.com/watch?v=BhaqEVd29io
Source & Date: 15th July 2011, http://www.nasa.gov/centers/goddard/home/index.html
"This artist's concept animation depicts a mission to a near-Earth asteroid. In this animation, astronauts in the Multi-Mission Space Exploration Vehicle (MMSEV) dock with an asteroid, perform a spacewalk, and return to the Orion Multi-Purpose Crew Vehicle (MPCV) for the journey back to Earth."