eprintid: 2441 rev_number: 8 eprint_status: archive userid: 6 dir: disk0/00/00/24/41 datestamp: 2015-01-09 10:25:09 lastmod: 2015-01-09 10:25:09 status_changed: 2015-01-09 10:25:09 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: Hammerstein systems parameters bounding through sparse polynomial optimization ispublished: pub subjects: QA75 divisions: CSA full_text_status: public keywords: Bounded error identification; Hammerstein systems; Parameters bounds; Sparse LMI relaxation note: 2011 American Control Conference, held in San Francisco (USA), June 29 - July 01, 2011 abstract: A single-stage procedure for the evaluation of tight bounds on the parameters of Hammerstein systems from output measurements affected by bounded errors is presented. The identification problem is formulated in terms of polynomial optimization, and relaxation techniques based on linear matrix inequalities are proposed to evaluate parameters bounds by means of convex optimization. The structured sparsity of the identification problem is exploited to reduce the computational complexity of the convex relaxed problem. Convergence proper ties, complexity analysis and advantages of the proposed technique with respect to previously published ones are discussed. date: 2011-06 publisher: IEEE pagerange: 1247-1252 event_title: American Control Conference (ACC), 2011 id_number: 10.1109/ACC.2011.5991418 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=5991418&isnumber=5989965 citation: Cerone, Vito and Piga, Dario and Regruto, Diego Hammerstein systems parameters bounding through sparse polynomial optimization. In: Proceedings of American Control Conference (ACC), 2011. IEEE, pp. 1247-1252. ISBN 978-1-4577-0080-4 (2011) document_url: http://eprints.imtlucca.it/2441/1/ACC2011PreprintPiga.pdf