eprintid: 460 rev_number: 13 eprint_status: archive userid: 7 dir: disk0/00/00/04/60 datestamp: 2011-07-27 09:04:28 lastmod: 2011-08-05 14:08:37 status_changed: 2011-07-27 09:04:28 type: article metadata_visibility: show contact_email: alberto.bemporad@imtlucca.it item_issues_count: 0 creators_name: Tondel, Petter creators_name: Johansen, Tor Arne creators_name: Bemporad, Alberto creators_id: creators_id: creators_id: alberto.bemporad@imtlucca.it title: Evaluation of piecewise affine control via binary search tree ispublished: pub subjects: QA75 subjects: TJ divisions: CSA full_text_status: none keywords: Piecewise linear controllers; Hybrid systems abstract: We present an algorithm for generating a binary search tree that allows efficient computation of piecewise affine (PWA) functions defined on a polyhedral partition. This is useful for PWA control approaches, such as explicit model predictive control, as it allows the controller to be implemented online with small computational effort. The computation time is logarithmic in the number of regions in the PWA partition. date: 2003 date_type: published publication: Automatica volume: 39 number: 5 publisher: Elsevier pagerange: 945-950 id_number: 10.1016/S0005-1098(02)00308-4 refereed: TRUE issn: 0005-1098 official_url: http://www.sciencedirect.com/science/article/pii/S0005109802003084 citation: Tondel, Petter and Johansen, Tor Arne and Bemporad, Alberto Evaluation of piecewise affine control via binary search tree. Automatica, 39 (5). pp. 945-950. ISSN 0005-1098 (2003)