{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,17]],"date-time":"2026-01-17T23:05:45Z","timestamp":1768691145886,"version":"3.49.0"},"reference-count":26,"publisher":"SAGE Publications","issue":"12","license":[{"start":{"date-parts":[[2017,10,16]],"date-time":"2017-10-16T00:00:00Z","timestamp":1508112000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2018,8]]},"abstract":"<jats:p> The joint parameter and time-delay estimation problems for a class of nonlinear multirate time-delay system with uncertain output delays are addressed in this paper. The practical process typically has time-delay properties and the process data are often multirate, sampled with output data inevitably corrupted by uncertain delays. The linear parameter varying (LPV) finite impulse response (FIR) multirate time-delay model is initially built to describe the considered system. The problems of over-parameterization and the existence of both continuous model parameters and discrete time-delays have made the conventional maximum likelihood difficult to solve the considered problems. In order to handle these problems, the joint parameter and time-delay estimation for the LPV FIR multirate time-delay model are formulated in the expectation-maximization scheme, and the algorithm to estimate the model parameters and time-delays is derived, simultaneously based on multirate process data. The efficacy of the proposed method is verified through a numerical simulation and a practical chemical plant. <\/jats:p>","DOI":"10.1177\/0142331217733326","type":"journal-article","created":{"date-parts":[[2017,10,16]],"date-time":"2017-10-16T10:32:52Z","timestamp":1508149972000},"page":"3498-3506","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["Parameter identification of nonlinear multirate time-delay system with uncertain output delays"],"prefix":"10.1177","volume":"40","author":[{"given":"Xianqiang","family":"Yang","sequence":"first","affiliation":[{"name":"Harbin Institute of Technology, Harbin, China"}]},{"given":"Weili","family":"Xiong","sequence":"additional","affiliation":[{"name":"Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, China"}]},{"given":"Zeyuan","family":"Wang","sequence":"additional","affiliation":[{"name":"Harbin Institute of Technology, Harbin, China"}]},{"given":"Xin","family":"Liu","sequence":"additional","affiliation":[{"name":"Harbin Institute of Technology, Harbin, China"}]}],"member":"179","published-online":{"date-parts":[[2017,10,16]]},"reference":[{"key":"bibr1-0142331217733326","doi-asserted-by":"publisher","DOI":"10.1002\/cjce.20113"},{"key":"bibr2-0142331217733326","doi-asserted-by":"publisher","DOI":"10.1016\/j.jprocont.2009.12.008"},{"key":"bibr3-0142331217733326","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2010.02.026"},{"key":"bibr4-0142331217733326","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2011.2161293"},{"key":"bibr5-0142331217733326","volume-title":"The EM Algorithm and Extensions","author":"McLachlan 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