TY - CHAP Y1 - 2012/12// PB - IEEE UR - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6426894&isnumber=6425800 T2 - Proceedings of the IEEE 51st Annual Conference on Decision and Control (CDC), 2012 A1 - Milic, Vladimir A1 - Di Cairano, Stefano A1 - Kasac, Josip A1 - Bemporad, Alberto A1 - Situm, Zeljko TI - A numerical algorithm for nonlinear L2-gain optimal control with application to vehicle yaw stability control EP - 5045 SN - 978-1-4673-2064-1 AV - none ID - eprints1485 N2 - This paper is concerned with L2-gain optimal control approach for coordinating the active front steering and differential braking to improve vehicle yaw stability and cornering control. The vehicle dynamics with respect to the tire slip angles is formulated and disturbances are added on the front and rear cornering forces characteristics modelling, for instance, variability on road friction. The mathematical model results in input-affine nonlinear system. A numerical algorithm based on conjugate gradient method to solve L2-gain optimal control problem is presented. The proposed algorithm, which has backward-in-time structure, directly finds the feedback control and the "worst case" disturbance variables. Simulations of the controller in closed-loop with the nonlinear vehicle model are shown and discussed. KW - Heuristic algorithms; Mathematical model; Optimal control; Tires; Vectors; Vehicle dynamics; Vehicles. SP - 5040 ER -