Turns out we only had to wait one day to get the next part of the Sleeper Simulant Exotic quest, not a week. If you haven’t completed the previous steps you can find the process here: http://informedpixel.
com/walkthrough-obtaining-the- sleeper-simulant-exotic-in- destiny/
The next couple steps are pretty easy. First you will go to the tower, where Banshee will have a new objective: “The Sleeper Stirs”. It is a harder version of the Sabre Strike on the Cosmodrone. I recommend having a couple friends on coms help you out because matchmaking isn’t reliable for this one. Once you have defeated the final boss he will drop the “Sleeper Simulant Frame”. Bring that back to the tower and it’s done! You are now the proud owner of a sweet 290 fusion rifle heavy.