eprintid: 2444 rev_number: 8 eprint_status: archive userid: 6 dir: disk0/00/00/24/44 datestamp: 2015-01-09 11:26:33 lastmod: 2015-01-09 11:26:33 status_changed: 2015-01-09 11:26:33 type: book_section metadata_visibility: show creators_name: Canale, Massimo creators_name: Cerone, Vito creators_name: Piga, Dario creators_name: Regruto, Diego creators_id: creators_id: creators_id: dario.piga@imtlucca.it creators_id: title: Fast implementation of model predictive control with guaranteed performance ispublished: pub subjects: QA75 divisions: CSA full_text_status: public keywords: Aerospace electronics; Approximation algorithms; Function approximation; Optimization; Polynomials; Trajectory note: 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), held in Orlando USA), December 12-15, 2011 abstract: A fast implementation of a given predictive controller for nonlinear systems is introduced through a piecewise constant approximate function defined over an hyper-cube partition of the system state space. Such a state partition is obtained by maximizing the hyper-cube volumes in order to guarantee, besides stability, an a priori fixed trajectory error as well as input and state constraints satisfaction. The presented approximation procedure is achieved by solving a set of nonconvex polynomial optimization problems, whose approximate solutions are computed by means of semidefinite relaxation techniques for semialgebraic problems. date: 2011-12 publisher: IEEE pagerange: 3375-3380 event_title: Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on id_number: 10.1109/CDC.2011.6161334 refereed: TRUE isbn: 978-1-61284-799-3 book_title: Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC) official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6161334&isnumber=6159299 citation: Canale, Massimo and Cerone, Vito and Piga, Dario and Regruto, Diego Fast implementation of model predictive control with guaranteed performance. In: Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC). IEEE, pp. 3375-3380. ISBN 978-1-61284-799-3 (2011) document_url: http://eprints.imtlucca.it/2444/1/CDC2011Preprint_Piga.pdf