eprintid: 1485 rev_number: 8 eprint_status: archive userid: 6 dir: disk0/00/00/14/85 datestamp: 2013-02-20 10:24:10 lastmod: 2014-07-01 12:51:19 status_changed: 2013-02-20 10:24:10 type: book_section metadata_visibility: show creators_name: Milic, Vladimir creators_name: Di Cairano, Stefano creators_name: Kasac, Josip creators_name: Bemporad, Alberto creators_name: Situm, Zeljko creators_id: creators_id: creators_id: creators_id: alberto.bemporad@imtlucca.it creators_id: title: A numerical algorithm for nonlinear L2-gain optimal control with application to vehicle yaw stability control ispublished: pub subjects: QA75 subjects: TJ divisions: CSA full_text_status: none keywords: Heuristic algorithms; Mathematical model; Optimal control; Tires; Vectors; Vehicle dynamics; Vehicles. abstract: 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. date: 2012-12 date_type: published publisher: IEEE pagerange: 5040 -5045 event_title: Decision and Control (CDC), 2012 IEEE 51st Annual Conference on id_number: 10.1109/CDC.2012.6426894 refereed: TRUE isbn: 978-1-4673-2064-1 book_title: Proceedings of the IEEE 51st Annual Conference on Decision and Control (CDC), 2012 official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6426894&isnumber=6425800 citation: Milic, Vladimir and Di Cairano, Stefano and Kasac, Josip and Bemporad, Alberto and Situm, Zeljko A numerical algorithm for nonlinear L2-gain optimal control with application to vehicle yaw stability control. In: Proceedings of the IEEE 51st Annual Conference on Decision and Control (CDC), 2012. IEEE, 5040 -5045. ISBN 978-1-4673-2064-1 (2012)