Optimal VSC design based on Nash strategy for differential 2-player games

For optimal vehicle yaw stability control system development, inclusion of driver dynamics seems necessary. In this paper, a novel design approach is proposed for developing optimal solutions to vehicle stability control problems in the presence of the driver-in-the-loop steering models. The design concept is inspired by a Nash strategy for exactly known systems with more than two players. In the presented method, driver, controlling the steering wheel, and vehicle stability control unit, applying braking torques on the wheels, are defined as two dynamic players in a 2-player differential LQ game, and as a result, a novel control algorithm is developed. The results from a numerical simulation of a single lane change maneuver show the effectiveness of this controller over the common LQR control approach.