eprintid: 2450 rev_number: 6 eprint_status: archive userid: 6 dir: disk0/00/00/24/50 datestamp: 2015-01-09 12:25:17 lastmod: 2015-01-09 12:25:17 status_changed: 2015-01-09 12:25:17 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: FIR approximation of linear systems from quantized records ispublished: pub subjects: QA75 divisions: CSA full_text_status: none keywords: Bounded Error Identification note: 16th IFAC Symposium on System Identification held in Brussels (Belgium), 11-13 July 2012 abstract: In this paper we consider the problem of identifying a fixed-order FIR approximation of linear systems with unknown structure, assuming that both input and output measurements are subjected to quantization. In particular, a FIR model of given order which provides the best approximation of the input-output relationship is sought by minimizing the worst-case distance between the output of the true system and the modeled output, for all possible values of the input and output data consistent with their quantized measurements. First we show that the considered problem can be formulated in terms of robust optimization. Then, we present two different algorithms to compute the optimum of the formulated problem by means of linear programming techniques. The effectiveness of the proposed approach is illustrated by means of a simulation example. date: 2012 publisher: IFAC pagerange: 1179-1184 id_number: doi:10.3182/20120711-3-BE-2027.00239 refereed: TRUE isbn: 978-3-902823-06-9 issn: 1474-6670 book_title: 16th IFAC Symposium on System Identification official_url: http://dx.doi.org/10.3182/20120711-3-BE-2027.00239 citation: Cerone, Vito and Piga, Dario and Regruto, Diego FIR approximation of linear systems from quantized records. In: 16th IFAC Symposium on System Identification. IFAC, pp. 1179-1184. ISBN 978-3-902823-06-9 (2012)