Bermuda is nasty - it's the one weed that keeps me from 100% organic practices.
It WILL come up through a raised bed unless you snugly lay a fairly strong weedblock at the bottom of the bed. If you have a serious infestation in the area that's allowed to seed, you'll get bermuda in the raised beds, but if you tackle the outbreak immediately, you can probably keep it from taking foothold in them. (I've learned to ID a baby bermuda plant when it's only about 1/2" high to really keep the upper hand with this nasty bugger.)
It's such a sneaky and destructive menace, I can't help myself. I use roundup if I have to. And I use grass-getter occasionally if I find monster bermuda strangling a rose bush or such (I wouldn't use grass getter in what will be a bed for edibles, no way). Bermuda is so easy to kill with herbicides, and so hard to kill any other way, at least for me. If I were planning to put an edible garden where there's now bermuda grass, I'd make sure that bermuda was dead dead dead before I went any further. And be warned, digging will bring up long dormant bermuda, so the process of completely eradicating the bermuda can't be rushed or you may unhappily find you didn't get rid of it all.
The community garden in my town is 100% organic and I see these blessed souls trying (and succeeding) to grow veggies and such despite the fact that the bermuda is a hugely labor intensive nuisance in each and every one of the beds there. I don't have it in me to make that kind of commitment.