eprintid: 2446 rev_number: 9 eprint_status: archive userid: 6 dir: disk0/00/00/24/46 datestamp: 2015-01-09 11:36:20 lastmod: 2015-01-09 11:52:42 status_changed: 2015-01-09 11:36:20 type: book_section metadata_visibility: show creators_name: Cerone, Vito creators_name: Piga, Dario creators_name: Regruto, Diego creators_name: Tóth, Roland creators_id: creators_id: dario.piga@imtlucca.it creators_id: creators_id: title: Minimal LPV state-space realization driven set-membership identification ispublished: pub subjects: QA75 divisions: CSA full_text_status: public keywords: Convex relaxation; LPV models; LPV realization theory; Set-membership identification note: 2012 American Control Conference; held in Montréal Canada), June 27-June 29, 2012 - Best presentation in session award abstract: Set-membership identification algorithms have been recently proposed to derive linear parameter-varying (LPV) models in input-output form, under the assumption that both measurements of the output and the scheduling signals are affected by bounded noise. In order to use the identified models for controller synthesis, linear time-invariant (LTI) realization theory is usually applied to derive a statespace model whose matrices depend statically on the scheduling signals, as required by most of the LPV control synthesis techniques. Unfortunately, application of the LTI realization theory leads to an approximate state-space description of the original LPV input-output model. In order to limit the effect of the realization error, a new set-membership algorithm for identification of input/output LPV models is proposed in the paper. A suitable nonconvex optimization problem is formulated to select the model in the feasible set which minimizes a suitable measure of the state-space realization error. The solution of the identification problem is then derived by means of convex relaxation techniques. date: 2012-06 date_type: published publisher: IEEE pagerange: 3421-3426 event_title: American Control Conference (ACC), 2012 id_number: 10.1109/ACC.2012.6315441 refereed: TRUE isbn: 978-1-4577-1095-7 book_title: Proceedings of American Control Conference (ACC), 2012 official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6315441&isnumber=6314593 citation: Cerone, Vito and Piga, Dario and Regruto, Diego and Tóth, Roland Minimal LPV state-space realization driven set-membership identification. In: Proceedings of American Control Conference (ACC), 2012. IEEE, pp. 3421-3426. ISBN 978-1-4577-1095-7 (2012) document_url: http://eprints.imtlucca.it/2446/1/ACC2012PreprintPiga.pdf