eprintid: 2471 rev_number: 5 eprint_status: archive userid: 6 dir: disk0/00/00/24/71 datestamp: 2015-01-13 14:01:48 lastmod: 2015-01-13 14:01:48 status_changed: 2015-01-13 14:01:48 type: article 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 load reduction in bounded error identification of Hammerstein systems ispublished: pub subjects: QA75 divisions: CSA full_text_status: none keywords: Convex relaxation; Hammerstein systems; parameter bounds; set-membership identification abstract: In this technical note we present a procedure for the identification of Hammerstein systems from measurements affected by bounded noise. 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 formulated problem into a collection of polynomial optimization problems where the number of variables does not depend on the number of measurements. Advantages of the presented approach with respect to previously published results are discussed and highlighted by means of a simulation example. date: 2013-05 date_type: published publication: IEEE Transactions on Automatic Control volume: 58 number: 5 publisher: IEEE pagerange: 1317-1322 id_number: 10.1109/TAC.2012.2223334 refereed: TRUE issn: 0018-9286 official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6327597&isnumber=6504746 citation: Cerone, Vito and Piga, Dario and Regruto, Diego Computational load reduction in bounded error identification of Hammerstein systems. IEEE Transactions on Automatic Control , 58 (5). pp. 1317-1322. ISSN 0018-9286 (2013)