Heat oil in a large nonstick skillet over medium heat. Add onion, and cabbage. Sprinkle with brown sugar, lemon juice, dill weed, salt and pepper.
Cook, strirring frequently, about 8 minutes or until tender. Stir constantly toward the end of coooking time to keep vegatables from sticking. Remove from heat and let cool 5 to 10 minutes.
Preheat oven to 400 degrees. Have an ungreased baking sheet ready. Separate biscuits and place them between two sheets of wax paper several inches apart. With a rolling pin, roll biscuits into 4 to 5 inch circles. Carefully remove the top sheet of wax paper.
Using a heaping tablespoonful of filling, place slightly off-center on each circle. Carefully fold biscuits over, making a half-circle and stretching dough gently over the filling. Crimp the edges together with a fork. Place pastries on baking sheet.
Bake 8-10 minutes until golden brown. Serve hot or at room temperature.