{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T09:05:47Z","timestamp":1760346347332,"version":"3.37.3"},"reference-count":28,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["60940018","61104004","ZR2011FQ006"],"award-info":[{"award-number":["60940018","61104004","ZR2011FQ006"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["60940018","61104004","ZR2011FQ006"],"award-info":[{"award-number":["60940018","61104004","ZR2011FQ006"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Shandong Natural Science Foundation","award":["60940018","61104004","ZR2011FQ006"],"award-info":[{"award-number":["60940018","61104004","ZR2011FQ006"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>This paper addresses the problem of tracking a reference trajectory asymptotically given by a linear time-varying exosystem for a class of uncertain nonlinear MIMO systems based on the robust optimal sliding-mode control. The nonlinear MIMO system is transformed into a linear one by the input-output linearization technique, and at the same time the input-output decoupling is realized. Thus, the tracking error equation is established in a linear form, and the original nonlinear tracking problem is transformed into an optimal linear quadratic regulator (LQR) tracking problem. A LQR tracking controller (LQRTC) is designed for the corresponding nominal system, and the integral sliding-mode strategy is used to robustify the LQRTC. As a result, the original system exhibits global robustness to the uncertainties, and the tracking dynamics is the same as that of LQRTC for the nominal system. So a robust optimal sliding-mode tracking controller (ROSMTC) is realized. The proposed controller is applied to a two-link robot system, and simulation results show its effectiveness and superiority.<\/jats:p>","DOI":"10.1155\/2013\/863168","type":"journal-article","created":{"date-parts":[[2013,10,29]],"date-time":"2013-10-29T18:27:46Z","timestamp":1383071266000},"page":"1-9","source":"Crossref","is-referenced-by-count":10,"title":["Robust Optimal Sliding-Mode Tracking Control for a Class of Uncertain Nonlinear MIMO Systems"],"prefix":"10.1155","volume":"2013","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6078-5079","authenticated-orcid":true,"given":"Haiping","family":"Pang","sequence":"first","affiliation":[{"name":"College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266042, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiuqin","family":"Yang","sequence":"additional","affiliation":[{"name":"Naval Aviation Engineering Institute of Qingdao Branch, Qingdao 266041, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.1204"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(00)00083-2"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2004.839632"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1080\/00207721.2010.523799"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/0016-0032(96)00032-4"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmr.2009.07.024"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.07.050"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1109\/9.948472"},{"issue":"1","key":"10","first-page":"61","volume":"31","year":"2006","journal-title":"The Arabian Journal for Science and Engineering B"},{"key":"11","first-page":"1162","volume":"23","year":"2012","journal-title":"IEEE Transactions on Neural Networks"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-011-4190-2"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.sysconle.2004.09.012"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1504\/IJSCC.2009.024562"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/734094"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1002\/acs.1063"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(94)90180-5"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(95)00122-1"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-010-0009-9"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2006.01.021"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2006.10.002"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2007.894543"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2006.09.017"},{"issue":"4","key":"25","first-page":"838","volume":"20","year":"2009","journal-title":"Journal of Systems Engineering and Electronics"},{"issue":"6","key":"26","first-page":"2501","volume":"4","year":"2010","journal-title":"ICIC Express Letters B"},{"journal-title":"Proceedings of the 24th Chinese Control and Decision Conference","first-page":"2432","year":"2012","key":"27"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1016\/j.pnsc.2008.03.033"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2011.07.006"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.125"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/863168.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/863168.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/863168.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,30]],"date-time":"2016-07-30T15:26:53Z","timestamp":1469892413000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/863168\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":28,"alternative-id":["863168","863168"],"URL":"https:\/\/doi.org\/10.1155\/2013\/863168","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}