Which day is this occurring on for you? Loading from a previous save then progressing to the point you were at may fix it.
Ah yes, that fixed it, thanks.
It was on day 9, after waking up after the summit, and talking with Mac and Taavi. I had to go back to a save point before Killigan... had his... episode? Otherwise the controls were all still in "berserk mode", and I could not access the equipment in order to put on clothes.