eprintid: 2447 rev_number: 9 eprint_status: archive userid: 6 dir: disk0/00/00/24/47 datestamp: 2015-03-26 11:45:05 lastmod: 2015-03-26 11:45:05 status_changed: 2015-03-26 11:45:05 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: Robust pole placement for plants with semialgebraic parametric uncertainty ispublished: pub subjects: QA75 divisions: CSA full_text_status: public keywords: Robust coprimeness; Robust pole placement; Semialgebraic uncertainty; Sum-of-square decomposition note: 2012 American Control Conference; held in Montréal Canada), June 27-June 29, 2012 abstract: In this paper we address the problem of robust pole placement for linear-time-invariant systems whose uncertain parameters are assumed to belong to a semialgebraic region. A dynamic controller is designed in order to constrain the coefficients of the closed-loop characteristic polynomial within prescribed intervals. Two main topics arising from the problem of robust pole placement are tackled by means of polynomial optimization. First, necessary conditions on the plant parameters for the existence of a robust controller are given. Then, the set of all admissible robust controllers is sought. Convex relaxation techniques based on sum-of-square decomposition of positive polynomials are used to efficiently solve the formulated optimization problems through semidefinite programming techniques. date: 2012-06 date_type: published publisher: IEEE pagerange: 5240-5245 event_title: American Control Conference (ACC), 2012 id_number: 10.1109/ACC.2012.6315548 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=6315548&isnumber=6314593 citation: Cerone, Vito and Piga, Dario and Regruto, Diego Robust pole placement for plants with semialgebraic parametric uncertainty. In: Proceedings of American Control Conference (ACC), 2012. IEEE, pp. 5240-5245. ISBN 978-1-4577-1095-7 (2012) document_url: http://eprints.imtlucca.it/2447/1/ACC2012PreprintPiga2.pdf document_url: http://eprints.imtlucca.it/2447/2/ACC2012Pres_piga.pdf