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This latter, is given by decomposing the coefficients of the AutoRegressive with eXogenous input (ARX) model associated with the output and the input on two independent Meixner-like orthonormal bases. The resulting model is called ARX Meixner-like model. In order to ensure the parameter complexity reduction, the Meixner-like poles are optimized using Genetic algorithms method. Unknown But Bounded Error (UBBE) approaches are used to update the uncertainty domain of the parameters of the new obtained model. A numerical example of system with delay and two examples of experimental research are made to prove the efficiency of the proposed approach.<\/jats:p>","DOI":"10.1177\/0142331219868621","type":"journal-article","created":{"date-parts":[[2019,8,29]],"date-time":"2019-08-29T07:20:05Z","timestamp":1567063205000},"page":"306-321","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Parametric identification of linear systems using AutoRegressive with eXogenous input model expansion on Meixner-like orthonormal bases"],"prefix":"10.1177","volume":"42","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1883-755X","authenticated-orcid":false,"given":"Safa","family":"Maraoui","sequence":"first","affiliation":[{"name":"Research Laboratory of Automatic, Signal Processing and Image (LARATSI), National School of Engineers of Monastir (ENIM), University of Monastir, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kais","family":"Bouzrara","sequence":"additional","affiliation":[{"name":"Research Laboratory of Automatic, Signal Processing and Image (LARATSI), National School of Engineers of Monastir (ENIM), University of Monastir, Tunisia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2019,8,29]]},"reference":[{"key":"bibr1-0142331219868621","doi-asserted-by":"publisher","DOI":"10.5267\/j.ijiec.2010.03.002"},{"key":"bibr2-0142331219868621","doi-asserted-by":"publisher","DOI":"10.1109\/TBME.2004.840187"},{"key":"bibr3-0142331219868621","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2016.11.017"},{"key":"bibr4-0142331219868621","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2012.06.005"},{"key":"bibr5-0142331219868621","doi-asserted-by":"publisher","DOI":"10.1002\/cta.4490230306"},{"key":"bibr6-0142331219868621","doi-asserted-by":"publisher","DOI":"10.1109\/82.486458"},{"key":"bibr7-0142331219868621","doi-asserted-by":"publisher","DOI":"10.1002\/acs.2600"},{"key":"bibr8-0142331219868621","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-9545-5_4"},{"key":"bibr9-0142331219868621","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(82)90110-8"},{"key":"bibr10-0142331219868621","doi-asserted-by":"publisher","DOI":"10.1080\/10236198.2018.1561879"},{"key":"bibr11-0142331219868621","volume-title":"System Identification-Theory for the User 2nd edition","author":"Ljung L","year":"1999"},{"key":"bibr12-0142331219868621","volume-title":"Repr\u00e9sentation de syst\u00e8mes discrets sur la base des filtres orthogonaux - 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