A system for providing path generation for automated lane centering and/or lane changing purposes. The system includes a desired path generation processor that receives signals detecting the roadway on which the vehicle is traveling, a request for a lane change, vehicle state information and a steering angle of the vehicle. The system also includes a path prediction processor that predicts the vehicle path based on vehicle state information including vehicle longitudinal speed, vehicle lateral speed, vehicle yaw-rate and vehicle steering angle. The desired path information and the predicted path information are compared to generate an error signal that is sent to a lane change controller that provides a steering angle signal to turn the vehicle and reduce the error signal. The desired path generation processor can use a fifth order polynomial equation to determine the desired path of the vehicle based on the input signals.