We had ours go out. While waiting for the replacement, the DH fixed the old one, and it's still working more than 6 months later.
Undo the screws that hold in the metal plate at the end of the strip. Pull the plate out from the strip. There is a piece that protrudes from the plate that inserts into the strip. On either side of that piece are some sort of prongs or buds that he bent out so they could contact the edges of the strip, thus sending power to the strip, which powers the lights.
Hope you understand this. If not, let me know. I'll get the DH to give you a better explanation. He's the electrical engineer, I'm the finance person.