GRILL artichokes over medium heat until lightly browned. Alternatively, place on baking sheet, cut-side-up and position 6 inches from broiler. Broil for about 3 minutes or until lightly browned.
BRING water to a boil in large pot; add linguine. Cook for 1 minute. Drain, reserving ¼ cup cooking water.
HEAT oil in large skillet over medium heat. Add garlic; cook for 1 minute or until fragrant (the garlic should not brown). Stir in wine and cook for about 4 minutes or until slightly reduced. Add lemon juice, lemon peel, parsley, chives, tarragon, salt and pepper; cook for about 1 minute or until mixture is heated through.
ADD cooked linguine to skillet along with reserved cooking water and Parmesan cheese. Toss gently to coat. Toss in artichoke hearts. Serve immediately with additional extra virgin olive oil and Parmesan cheese, if desired.