An system for this exists. It's the game with four colored lights, from Hasbro. Simon.
Simply incorporate the four buttons onto the top of an alarm clock. The first time it goes off, have a loud annoying signal, as well as a flash of light and softer "boop" from one of the four colors. Then the 7-10 minute pause.. and now, alarm, beep-boop. The longer you lounge in bed, the more it takes to shut the danged thing off, the more awake you have to be to do it.
--Chiaroscuro