{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:21:22Z","timestamp":1753885282403,"version":"3.41.2"},"reference-count":32,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,3,1]],"date-time":"2021-03-01T00:00:00Z","timestamp":1614556800000},"content-version":"vor","delay-in-days":59,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61573385"],"award-info":[{"award-number":["61573385"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100006410","name":"Huizhou University","doi-asserted-by":"publisher","award":["2020JB017","2020JB011"],"award-info":[{"award-number":["2020JB017","2020JB011"]}],"id":[{"id":"10.13039\/501100006410","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003453","name":"Natural Science Foundation of Guangdong Province","doi-asserted-by":"publisher","award":["2018A030313711"],"award-info":[{"award-number":["2018A030313711"]}],"id":[{"id":"10.13039\/501100003453","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>This study first investigates robust iterative learning control (ILC) issue for a class of two\u2010dimensional linear discrete singular Fornasini\u2013Marchesini systems (2\u2010D LDSFM) under iteration\u2010varying boundary states. Initially, using the singular value decomposition theory, an equivalent dynamical decomposition form of 2\u2010D LDSFM is derived. A simple P\u2010type ILC law is proposed such that the ILC tracking error can be driven into a residual range, the bound of which is relevant to the bound parameters of boundary states. Specially, while the boundary states of 2\u2010D LDSFM satisfy iteration\u2010invariant boundary states, accurate tracking on 2\u2010D desired surface trajectory can be accomplished by using 2\u2010D linear inequality theory. In addition, extension to 2\u2010D LDSFM without direct transmission from inputs to outputs is presented. A numerical example is used to illustrate the effectiveness and feasibility of the designed ILC law.<\/jats:p>","DOI":"10.1155\/2021\/6686724","type":"journal-article","created":{"date-parts":[[2021,3,2]],"date-time":"2021-03-02T02:20:07Z","timestamp":1614651607000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Robust Iterative Learning Control for 2\u2010D Singular Fornasini\u2013Marchesini Systems with Iteration\u2010Varying Boundary States"],"prefix":"10.1155","volume":"2021","author":[{"given":"Deming","family":"Xu","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4693-416X","authenticated-orcid":false,"given":"Kai","family":"Wan","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,3]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1023\/a:1008429611994"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1023\/b:mult.0000017025.77423.7f"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/9.237652"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2004.09.005"},{"key":"e_1_2_10_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2002.1001962"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207720902974728"},{"key":"e_1_2_10_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11045-019-00654-7"},{"key":"e_1_2_10_8_2","doi-asserted-by":"publisher","DOI":"10.1109\/tro.2011.2167389"},{"key":"e_1_2_10_9_2","doi-asserted-by":"publisher","DOI":"10.3901\/jme.2013.01.178"},{"key":"e_1_2_10_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/MCS.2006.1636313"},{"key":"e_1_2_10_11_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2011.574236"},{"key":"e_1_2_10_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.arcontrol.2019.10.003"},{"key":"e_1_2_10_13_2","doi-asserted-by":"publisher","DOI":"10.1109\/access.2019.2939577"},{"key":"e_1_2_10_14_2","doi-asserted-by":"publisher","DOI":"10.1109\/tnnls.2018.2874977"},{"key":"e_1_2_10_15_2","doi-asserted-by":"publisher","DOI":"10.1109\/tnnls.2016.2616885"},{"key":"e_1_2_10_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2019.2899654"},{"key":"e_1_2_10_17_2","first-page":"2410","article-title":"Optimal iterative learning control method for 2-D systems using 1-D model (WAM) of 2-D systems","volume":"13","author":"Afkhami H.","year":"2011","journal-title":"World Applied Science Journal"},{"key":"e_1_2_10_18_2","first-page":"385","article-title":"On the control of 2-D systems by intelligent schemes","volume":"6","author":"Roopaei M.","year":"2009","journal-title":"World Applied Science Journal"},{"key":"e_1_2_10_19_2","doi-asserted-by":"crossref","unstructured":"XiaoT. 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