When I took over my plot 3 years ago it was covered with couch grass. I left it until September then put weedkiller on, sorry can't remember which one. Left it again for about a month until it all looked dead, then started digging it over, trying to take out as much root as possible. Last year I had next to no couch growing, and any that did come through was dug out. This year nothing.
Next to my plot is a large area of unworkable land which is covered in the stuff. To stop it encroaching I initially dug a 6 inch trench round the plot and laid old carpet around 2 foot wide to form a barrier. I was a bit short on the carpet, so the bit left I moved with an old lawn mower. On the plot itself I have sown grass seed on the paths.
According to an organic site I looked at some time back, couch grass won't go into the ground more than 6 inches, hence the trench, hates being mown, and doesn't like dug over soil. The latter should make it easy to just pull out.
This year i have had no problems at all, and there is no trace on the plot. All the stuff round the outside is being kept firmly at bay.