HI clarebear!
I, too, sometimes am exhausted when I wake up in the morning because of my extremely active dreaming.
I think your are right; work, stress, and those types of things can creep into your sleep-time and cause havoc.
Just because the day shuts down doesn't mean our brain can 'give it a rest, already'

Maybe some meditation, or something like that before you go to bed would help.
As far as the lucid dreams go, I don't know much about it, and I will take a look at the links Sherasi provided, but it seems to me that if you are able to control your dreams to any extent, large or small, that too, might have the same affect as fitful sleep, causing tiredness when you get up in the morning.
To me, it seems like you'd be using part of your brain to stay 'lucid' ( hence the name I suppose

) therefore you're aren't completing or following the normal sleep pattern, with the right amount of r.e.m. and all that jazz.
Do you want to control your dreams? If you do then you are totally a control freak.

Just kidding!

Anyway, it's an interesting topic, thanks for posting it.