eprintid: 2468 rev_number: 7 eprint_status: archive userid: 6 dir: disk0/00/00/24/68 datestamp: 2015-01-13 13:40:47 lastmod: 2015-01-13 13:40:47 status_changed: 2015-01-13 13:40:47 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: Bounded error identification of Hammerstein systems through sparse polynomial optimization ispublished: pub subjects: QA75 divisions: CSA full_text_status: public keywords: Bounded error identification; Hammerstein systems; Parameter bounds; Sparse LMI relaxation abstract: In this paper we present a procedure for the evaluation of bounds on the parameters of Hammerstein systems, from output measurements affected by bounded errors. The identification problem is formulated in terms of polynomial optimization, and relaxation techniques, based on linear matrix inequalities, are proposed to evaluate parameter bounds by means of convex optimization. The structured sparsity of the formulated identification problem is exploited to reduce the computational complexity of the convex relaxed problem. Analysis of convergence properties and computational complexity is reported. date: 2012-10 date_type: published publication: Automatica volume: 48 number: 10 publisher: Elsevier pagerange: 2693 - 2698 id_number: 10.1016/j.automatica.2012.06.078 refereed: TRUE issn: 0005-1098 official_url: http://www.sciencedirect.com/science/article/pii/S0005109812003482 citation: Cerone, Vito and Piga, Dario and Regruto, Diego Bounded error identification of Hammerstein systems through sparse polynomial optimization. Automatica, 48 (10). 2693 - 2698. ISSN 0005-1098 (2012) document_url: http://eprints.imtlucca.it/2468/1/Aut2012PigaPreprint.pdf