Preheat oven to 400 degrees F. Coat a large baking sheet with cooking spray.
In a large bowl, combine eggplant, artichoke hearts, oil, thyme, and rosemary. Toss to coat vegetables with oil and herbs. Arrange vegetables on prepared baking sheet and roast 15 to 20 minutes, until golden brown and tender, turning halfway through cooking. Remove vegetables from oven and set aside.
Meanwhile, cook pasta according to package directions, drain, and return to cooking pot. Stir in roasted vegetables and roasted red peppers.
Whisk together chicken broth, vinegar, mustard, salt, and pepper. Pour mixture over pasta and toss to coat. Stir in basil. Spoon mixture into shallow bowls and sprinkle Parmesan over top.