eprintid: 491 rev_number: 13 eprint_status: archive userid: 7 dir: disk0/00/00/04/91 datestamp: 2011-07-27 08:43:56 lastmod: 2011-08-05 13:43:06 status_changed: 2011-07-27 08:43:56 type: article metadata_visibility: show contact_email: alberto.bemporad@imtlucca.it item_issues_count: 0 creators_name: Giorgetti, Nicolò creators_name: Ripaccioli, Giulio creators_name: Bemporad, Alberto creators_name: Kolmanovsky, Ilya creators_name: Hrovat, Davor creators_id: creators_id: creators_id: alberto.bemporad@imtlucca.it creators_id: creators_id: title: Hybrid model predictive control of direct injection stratified charge engines ispublished: pub subjects: TJ subjects: TL divisions: CSA full_text_status: none keywords: air-to-fuel ratio; automotive microcontroller; gasoline direct injection stratified charge engines; hybrid dynamical system; hybrid model predictive control; mixed-integer quadratic optimization; spark timing;torque; two-mode discrete-time switched affine system; discrete time systems; internal combustion engines; predictive control; sparks; time-varying systems; torque abstract: This paper illustrates the application of hybrid modeling and model predictive control techniques to the management of air-to-fuel ratio and torque in advanced technology gasoline direct-injection stratified-charge (DISC) engines. A DISC engine is an example of a constrained hybrid dynamical system, because it can operate in two distinct modes (stratified and homogeneous) and because the mode-dependent constraints on the air-to-fuel ratio and on the spark timing need to be enforced during its operation to avoid misfire, knock, and high combustion variability. In this paper, we approximate the DISC engine dynamics as a two-mode discrete-time switched affine system. Using this approximation, we tune a hybrid model predictive controller with integral action based on online mixed-integer quadratic optimization, and show the effectiveness of the approach through simulations. Then, using an offline multiparametric optimization procedure, we convert the controller into an equivalent explicit piecewise affine form that is easily implementable in an automotive microcontroller through a lookup table of linear gains date: 2006 date_type: published publication: IEEE/Asme Transactions on Mechatronics volume: 11 number: 5 publisher: IEEE pagerange: 499-506 id_number: 10.1109/TMECH.2006.882979 refereed: TRUE issn: 1083-4435 related_url_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1709854&isnumber=36073 citation: Giorgetti, Nicolò and Ripaccioli, Giulio and Bemporad, Alberto and Kolmanovsky, Ilya and Hrovat, Davor Hybrid model predictive control of direct injection stratified charge engines. IEEE/Asme Transactions on Mechatronics , 11 (5). pp. 499-506. ISSN 1083-4435 (2006)