eprintid: 2472 rev_number: 7 eprint_status: archive userid: 6 dir: disk0/00/00/24/72 datestamp: 2015-01-13 14:08:50 lastmod: 2015-01-13 14:08:50 status_changed: 2015-01-13 14:08:50 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: Fixed-order FIR approximation of linear systems from quantized input and output data ispublished: pub subjects: QA75 divisions: CSA full_text_status: public keywords: FIR models; Linear programming; Quantized identification; Robust optimization abstract: Abstract 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, is dealt with in this paper. A fixed-order {FIR} model providing 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. The considered problem is firstly formulated in terms of robust optimization. Then, two different algorithms to compute the optimum of the formulated problem by means of linear programming techniques are presented. The effectiveness of the proposed approach is illustrated by means of a simulation example. date: 2013-12 date_type: published publication: Systems & Control Letters volume: 62 number: 12 publisher: Elsevier pagerange: 1136 - 1142 id_number: 10.1016/j.sysconle.2013.09.012 refereed: TRUE issn: 0167-6911 official_url: http://www.sciencedirect.com/science/article/pii/S0167691113001990 citation: Cerone, Vito and Piga, Dario and Regruto, Diego Fixed-order FIR approximation of linear systems from quantized input and output data. Systems & Control Letters, 62 (12). 1136 - 1142. ISSN 0167-6911 (2013) document_url: http://eprints.imtlucca.it/2472/1/SCLPreprintPiga.pdf