eprintid: 435 rev_number: 11 eprint_status: archive userid: 7 dir: disk0/00/00/04/35 datestamp: 2011-07-27 08:34:02 lastmod: 2011-11-17 14:32:55 status_changed: 2011-07-27 08:34:02 type: conference_item metadata_visibility: show contact_email: alberto.bemporad@imtlucca.it item_issues_count: 0 creators_name: Bemporad, Alberto creators_name: Muñoz de la Peña, David creators_id: alberto.bemporad@imtlucca.it creators_id: title: Multiobjective model predictive control based on convex piecewise affine costs ispublished: pub subjects: QA subjects: QA75 divisions: CSA full_text_status: none pres_type: paper keywords: Predictive control for linear systems; Optimization; Optimization algorithms abstract: This paper proposes a novel model predictive control (MPC) scheme based on multiobjective optimization. At each sampling time, the MPC control action is chosen among the set of Pareto optimal solutions based on a time-varying and state-dependent decision criterion. After recasting the optimization problem associated with the multiobjective MPC controller as a multiparametric multiobjective linear problem, we show that it is possible to compute each Pareto optimal solution as an explicit piecewise affine function of the state vector and of the vector of weights to be assigned to the different objectives in order to get that particular Pareto optimal solution. Furthermore, we provide conditions for selecting Pareto optimal solutions so that the MPC control loop is asymptotically stable, and show the effectiveness of the approach in simulation examples. date: 2009 date_type: published publication: Proc. European Control Conference place_of_pub: 23-26 August 2009 pagerange: 2402-2407 event_title: European Control Conference event_location: 23th -26th August 2009 event_dates: Budapest, Hungary event_type: conference refereed: TRUE book_title: Proc. European Control Conference official_url: https://controls.papercept.net/conferences/scripts/abstract.pl?ConfID=5&Number=733 funders: The European Control Conference (ECC) citation: Bemporad, Alberto and Muñoz de la Peña, David Multiobjective model predictive control based on convex piecewise affine costs. In: European Control Conference, Budapest, Hungary, 23th -26th August 2009 pp. 2402-2407. (2009)