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These models are selected from the local models bank and results in a reduced nominal models set that provides enough information to design a multi-model controller. To determine the initial local models bank, gap metric is used so that the distance between two successive local models is smaller than a threshold value. Then, a systematic approach that aims to get a reduced nominal models bank is developed. Based on this approach, first, a binary gap matrix is defined by combining gap metric and stability information. Then, several rows of this matrix are selected such that the sum of them becomes a non-zero vector. The proposed approach along with a designed robust controller is validated on a pH neutralization regarding to its highly nonlinear behavior.<\/jats:p>","DOI":"10.1177\/0142331221989009","type":"journal-article","created":{"date-parts":[[2021,2,1]],"date-time":"2021-02-01T08:55:03Z","timestamp":1612169703000},"page":"2006-2017","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":13,"title":["A systematic decomposition approach of nonlinear systems by combining gap metric and stability margin"],"prefix":"10.1177","volume":"43","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0954-9895","authenticated-orcid":false,"given":"Mahdi","family":"Ahmadi","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, Esfarayen University of Technology, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammad","family":"Haeri","sequence":"additional","affiliation":[{"name":"Advanced Control Systems Lab, Electrical Engineering, Sharif University of Technology, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2021,2,1]]},"reference":[{"key":"bibr1-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1115\/1.4036069"},{"key":"bibr2-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1115\/1.4039086"},{"key":"bibr3-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1177\/0142331219888368"},{"key":"bibr4-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1021\/ie500035p"},{"key":"bibr5-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1021\/ie504170d"},{"key":"bibr6-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2008.04.015"},{"key":"bibr7-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1021\/ie8009395"},{"key":"bibr8-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1021\/ie202160c"},{"key":"bibr9-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2012.12.007"},{"key":"bibr10-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1016\/j.isatra.2018.06.008"},{"key":"bibr11-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1080\/13873954.2019.1624580"},{"key":"bibr12-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1985.1103926"},{"key":"bibr13-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-012-1215-8"},{"key":"bibr14-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2003.10.003"},{"key":"bibr15-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1177\/0142331215583101"},{"key":"bibr16-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1177\/0142331215577420"},{"key":"bibr17-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2012.07.005"},{"key":"bibr18-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2012.07.006"},{"key":"bibr19-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1016\/j.compchemeng.2012.06.005"},{"key":"bibr20-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2017.2731946"},{"key":"bibr21-0142331221989009","doi-asserted-by":"publisher","DOI":"10.1016\/j.anucene.2013.01.035"},{"key":"bibr22-0142331221989009","doi-asserted-by":"crossref","unstructured":"Linlin L, Steven X (2020) Gap metric techniques and their application to fault detection performance analysis and fault isolation schemes. 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