Seems like this would be drastically simplified using a http://en.wikipedia.org/wiki/Combo_washer_dryer such as these http://www.homedepot.com/b/Appliances-Washers-Dryers-All-In-...
I know this is really about AI challenges rather than washing clothes, but the list of steps seems more complex than it needs to be. For example, I already put my dirty clothes straight in to a laundry basket. I don't think I'm ever going to need a robot to scoop them off the floor for me, I can't imagine my time being so valuable that I can't put my shirt in the basket.