eprintid: 2452 rev_number: 8 eprint_status: archive userid: 6 dir: disk0/00/00/24/52 datestamp: 2015-01-09 13:32:04 lastmod: 2015-01-09 13:32:04 status_changed: 2015-01-09 13:32:04 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: Fixed order LPV controller design for LPV models in input-output form ispublished: pub subjects: QA75 divisions: CSA full_text_status: public keywords: Approximation methods; Closed loop systems; Linear matrix inequalities; Optimization; Polynomials; Stability analysis Vectors note: 51st IEEE Conference on Decision and Control, held in Maui, Hawaii (USA); December 10-13 2012 abstract: In this work, a new synthesis approach is proposed to design fixed-order H∞ controllers for linear parameter-varying (LPV) systems described by input-output (I/O) models with polynomial dependence on the scheduling variables. First, by exploiting a suitable technique for polytopic outer approximation of semi-algebraic sets, the closed loop system is equivalently rewritten as an LPV I/O model depending affinely on an augmented scheduling parameter vector constrained inside a polytope. Then, the problem is reformulated in terms of bilinear matrix inequalities (BMI) and solved by means of a suitable semidefinite relaxation technique. date: 2012-12 date_type: published publisher: IEEE pagerange: 6297-6302 event_title: Decision and Control (CDC), 2012 IEEE 51st Annual Conference on id_number: 10.1109/CDC.2012.6426281 refereed: TRUE isbn: 978-1-4673-2064-1 book_title: Proceedings of the 51st Annual Conference on Decision and Control (CDC) official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6426281&isnumber=6425800 citation: Cerone, Vito and Piga, Dario and Regruto, Diego and Tóth, Roland Fixed order LPV controller design for LPV models in input-output form. In: Proceedings of the 51st Annual Conference on Decision and Control (CDC). IEEE, pp. 6297-6302. ISBN 978-1-4673-2064-1 (2012) document_url: http://eprints.imtlucca.it/2452/1/CDC2013PreprintPiga.pdf