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The Hammerstein\u2010Wiener system has two static nonlinear blocks represented by two independent neural fuzzy models surrounding a dynamic linear block described by finite impulse response model. The multisignal theory is designed for employing Hammerstein\u2010Wiener system to separate parameter learning issues. To begin with, the output nonlinearity parameters are learned utilizing separable signal with different amplitudes. Furthermore, correlation analysis method is implemented for estimating linear block parameters using separable signal inputs and outputs; thereby, the interference of process noise is effectively handled. Finally, multi\u2010innovation learning technology is introduced to improve system learning accuracy, and then, multi\u2010innovation extended stochastic gradient algorithm is obtained for optimizing input nonlinearity and noise model using multi\u2010innovation technique and gradient search method. The simulation results display that presented data\u2010driven learning approach has the availability of learning Hammerstein\u2010Wiener system.<\/jats:p>","DOI":"10.1155\/2021\/8920329","type":"journal-article","created":{"date-parts":[[2021,8,1]],"date-time":"2021-08-01T04:35:18Z","timestamp":1627792518000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Data\u2010driven Learning Algorithm of Neural Fuzzy Based Hammerstein\u2010Wiener System"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9445-1627","authenticated-orcid":false,"given":"Feng","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yinsheng","family":"Luo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Naibao","family":"He","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ya","family":"Gu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qingfeng","family":"Cao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,7,31]]},"reference":[{"key":"e_1_2_9_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2017.03.026"},{"key":"e_1_2_9_2_2","doi-asserted-by":"publisher","DOI":"10.1021\/acs.iecr.8b00809"},{"key":"e_1_2_9_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compchemeng.2011.05.013"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-2957-0"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.compchemeng.2011.01.037"},{"key":"e_1_2_9_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.conengprac.2011.08.001"},{"key":"e_1_2_9_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2006.11.001"},{"key":"e_1_2_9_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(97)00198-2"},{"key":"e_1_2_9_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(01)00292-8"},{"key":"e_1_2_9_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2013.06.014"},{"key":"e_1_2_9_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-014-1804-4"},{"key":"e_1_2_9_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2019.05.049"},{"key":"e_1_2_9_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2020.12.034"},{"key":"e_1_2_9_14_2","doi-asserted-by":"publisher","DOI":"10.1177\/0020294020912790"},{"key":"e_1_2_9_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2018.02.108"},{"key":"e_1_2_9_16_2","doi-asserted-by":"publisher","DOI":"10.1080\/13873954.2013.801355"},{"key":"e_1_2_9_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2011.11.015"},{"key":"e_1_2_9_18_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2008.07.015"},{"key":"e_1_2_9_19_2","doi-asserted-by":"crossref","unstructured":"MansouriM. 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