eprintid: 2443 rev_number: 10 eprint_status: archive userid: 6 dir: disk0/00/00/24/43 datestamp: 2015-01-09 11:12:20 lastmod: 2015-01-09 11:12:20 status_changed: 2015-01-09 11:12:20 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: Computational burden reduction in set-membership Hammerstein system identification ispublished: pub subjects: QA75 divisions: CSA full_text_status: public keywords: Hammerstein systems, Convex relaxation, Parameters bounds, Set-membership identification. note: 18th IFAC World Congress, held in Milano (Italy), August 28- September 2nd 2011 abstract: Hammerstein system identification from measurements affected by bounded noise is considered in the paper. First, we show that computation of tight parameter bounds requires the solution to nonconvex optimization problems where the number of decision variables increases with the length of the experimental data sequence. Then, in order to reduce the computational burden of the identification problem, we propose a procedure to relax the previously formulated problem to a set of polynomial optimization problems where the number of variables does not depend on the size of the measurements sequence. Advantages of the presented approach with respect to previously published results are discussed. date: 2011 publisher: IFAC pagerange: 13924-13929 id_number: 10.3182/20110828-6-IT-1002.02090 refereed: TRUE isbn: 978-3-902661-93-7 issn: 1474-6670 book_title: Proceedings of the 18th IFAC World Congress official_url: http://dx.doi.org/10.3182/20110828-6-IT-1002.02090 citation: Cerone, Vito and Piga, Dario and Regruto, Diego Computational burden reduction in set-membership Hammerstein system identification. In: Proceedings of the 18th IFAC World Congress. IFAC, pp. 13924-13929. ISBN 978-3-902661-93-7 (2011) document_url: http://eprints.imtlucca.it/2443/1/IFAC2011PreprintPiga.pdf document_url: http://eprints.imtlucca.it/2443/2/IFAC2011PresentazionePiga.pdf