eprintid: 612 rev_number: 11 eprint_status: archive userid: 7 dir: disk0/00/00/06/12 datestamp: 2011-07-27 09:11:24 lastmod: 2014-07-17 12:17:57 status_changed: 2011-07-27 09:11:24 type: conference_item metadata_visibility: show item_issues_count: 0 creators_name: Bemporad, Alberto creators_name: Bozinis, Nikolaos A. creators_name: Dua, Vivek creators_name: Morari, Manfred creators_name: Pistikopoulos, Efstratios N. creators_id: alberto.bemporad@imtlucca.it creators_id: creators_id: creators_id: creators_id: title: Model predictive control: a multi-parametric programming approach ispublished: pub subjects: QA75 subjects: TJ divisions: CSA full_text_status: none pres_type: paper abstract: In this paper, linear model predictive control problems are formulated as multi-parametric quadratic programs, where the control variables are treated as optimization variables and the state variables as parameters. It is shown that the control variables are affine functions of the state variables and each of these affine functions is valid in a certain polyhedral region in the space of state variables. An approach for deriving the explicit expressions of all the affine functions and their corresponding polyhedral regions is presented. The key advantage of this approach is that the control actions are computed off-line: the on-line computation simply reduces to a function evaluation problem. date: 2000 date_type: published publication: Proc. European Symposium on Computer Aided Process Engineering-10 pagerange: 301-306 event_title: European Symposium on Computer Aided Process Engineering-10 event_location: Florence, Italy event_type: conference refereed: TRUE book_title: Proc. European Symposium on Computer Aided Process Engineering-10 official_url: http://www.sciencedirect.com/science/article/pii/S1570794600800528 citation: Bemporad, Alberto and Bozinis, Nikolaos A. and Dua, Vivek and Morari, Manfred and Pistikopoulos, Efstratios N. Model predictive control: a multi-parametric programming approach. In: European Symposium on Computer Aided Process Engineering-10, Florence, Italy pp. 301-306. (2000)