eprintid: 2442 rev_number: 8 eprint_status: archive userid: 6 dir: disk0/00/00/24/42 datestamp: 2015-01-09 10:28:51 lastmod: 2015-01-09 10:28:51 status_changed: 2015-01-09 10:28:51 type: book_section metadata_visibility: show creators_name: Cerone, Vito creators_name: Piga, Dario creators_name: Regruto, Diego creators_id: creators_id: dario.piga@imtlucca.it creators_id: title: Convex relaxation techniques for set-membership identification of LPV systems ispublished: pub subjects: QA75 divisions: CSA full_text_status: public keywords: Bounded error identification; LMI relaxation; Linear Parameter Varying; Parameters bounds note: 2011 American Control Conference, held in San Francisco (USA), June 29 - July 01, 2011 abstract: Set-membership identification of single-input single-output linear parameter varying models is considered in the paper under the assumption that both the output and the scheduling parameter measurements are affected by bounded noise. First, we show that the problem of computing the parameter uncertainty intervals requires the solutions to a number of nonconvex optimization problems. Then, on the basis of the analysis of the regressor structure, we present some ad hoc convex relaxation schemes to compute parameter bounds by means of semidefinite optimization. Advantages of the new techniques with respect to previously published results are discussed both theoretically and by means of simulations. date: 2011-06 date_type: published publisher: IEEE pagerange: 171-176 event_title: American Control Conference (ACC), 2011 id_number: 10.1109/ACC.2011.5991414 refereed: TRUE isbn: 978-1-4577-0080-4 book_title: Proceedings of American Control Conference (ACC), 2011 official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5991414&isnumber=5989965 citation: Cerone, Vito and Piga, Dario and Regruto, Diego Convex relaxation techniques for set-membership identification of LPV systems. In: Proceedings of American Control Conference (ACC), 2011. IEEE, pp. 171-176. ISBN 978-1-4577-0080-4 (2011) document_url: http://eprints.imtlucca.it/2442/1/ACC2011PreprintPiga2.pdf