eprintid: 565 rev_number: 11 eprint_status: archive userid: 7 dir: disk0/00/00/05/65 datestamp: 2011-07-27 08:47:40 lastmod: 2011-08-05 13:54:55 status_changed: 2011-07-27 08:47:40 type: book_section metadata_visibility: show contact_email: alberto.bemporad@imtlucca.it item_issues_count: 0 creators_name: Muñoz de la Peña, David creators_name: Bemporad, Alberto creators_name: Filippi, Carlo creators_id: creators_id: alberto.bemporad@imtlucca.it creators_id: title: Robust explicit MPC based on approximate multi-parametric convex programming ispublished: pub subjects: QA75 subjects: TJ divisions: CSA full_text_status: none keywords: approximate multi-parametric convex programming; classical robust WC scheme; deterministic MPC schemes; polytopic uncertainty; robust constraint satisfaction; robust convergence; robust model predictive control schemes; uncertain systems; convex programming; predictive control; robust control; uncertain systems abstract: Many robust model predictive control (MPC) schemes require the online solution of a convex program, which can be computationally demanding. For deterministic MPC schemes, multi-parametric programming was successfully applied to move most computations offline. In this paper we adopt a general approximate multi-parametric algorithm recently suggested for convex problems and propose to apply it to a classical robust WC scheme. This approach enables one to implement a robust MPC controller in real time for systems with polytopic uncertainty, ensuring robust constraint satisfaction and robust convergence to a given bounded set. date: 2004-12 date_type: published publication: Proc. 43th IEEE Conf. on Decision and Control volume: 3 publisher: IEEE place_of_pub: 14th-17th December 2004 pagerange: 2491-2496 event_dates: Paradise Island, Bahamas id_number: 10.1109/CDC.2004.1428788 refereed: TRUE isbn: 0-7803-8682-5 book_title: Decision and Control Conference official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1428788&isnumber=30837 citation: Muñoz de la Peña, David and Bemporad, Alberto and Filippi, Carlo Robust explicit MPC based on approximate multi-parametric convex programming. In: Decision and Control Conference. IEEE, 14th-17th December 2004, pp. 2491-2496. ISBN 0-7803-8682-5 (2004)