Yep, as everyone else said, just keep trying and soon you'll get your lucid dream. It'll sneak up on you when you least expect it.

Anyway, when you wake up, try staying up for up to an hour, but find a time that works well for you. You might find that after an hour, you can't get back to sleep, so try a shorter time. During the time, do something to keep your mind active, like reading or writing. You mentioned that you think logically in dreams, so combined with reality checks, that should work well.

MILD is a good technique to use at first. People usually say that WILD is much harder, but it all depends on you. You might find that you're a bit of a natural at using WILD. Just try some of the techniques in the tutorial section here, or from anywhere else, and find out which ones work best for you.

Anyway, just keep at it.