Got to love not sleeping...really makes the agitation and irritability worse. Bet you will have to have your meds adjusted. At least try switching to a different sleeping pill.

It could go two ways - try different sleeping pills until you find one that works and maybe, once you're sleeping, you'll feel less agitated and irritable.
Or...get your other meds adjusted (if there are other meds) and see if that helps the sleep issue.

I usually use a combination of both. Adjust the psych meds and while I'm waiting for that to kick in, I rotate through the sleeping pills until I find something that knocks me out.
Also, I try meditation and lots of exercise (don't you hate it when people say that).
Good luck.