Pretty much along the same lines, I would say pull out any woody growth first. Mow it once at the highest setting, and then mow it a second time at the lowest setting, making sure you don't stall-out the engine. (After that, it may be good time to get the blade sharpened or replaced.) Then smother it with some good compost -- at least 2" thick. Then cover it.
Your tarp will probably work fine if there is enough compost underneath it. You could also cover the compost with newspaper, and put the tarp over that to keep the newspaper from blowing away.
When the leaves fall, pull up the tarp, and put some shredded leaves on top of the newspaper (or bare compost if you didn't use the newspaper. Pull anything that is daring to grow at this time. When spring comes, till it. After tilling it, leave it sit for a few weeks for the leaves and newspaper to decompose more. Pull-up any weeds that dare to grow again.
When you do plant the area, use plenty of mulch to keep the weeds down. You might also consider putting newspaper over any large bare areas, or areas that may be difficult to reach before you cover it with mulch.