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First, the sliding mode control law is designed based on the reaching law method. Then, in view of unpredictable state variables and unknown information in the control law, the original system is transformed into two subsystems through a coordinate transformation. One subsystem only has actuator faults, and the other subsystem has both actuator faults and disturbances. A sliding mode observer is designed for the two subsystems, respectively, and the equivalence principle of the sliding mode variable structure is used to realize the accurate reconstruction of the actuator faults and disturbances. Finally, the observation value and the reconstruction value are used to carry out an online adjustment to the designed sliding mode control law, and fault-tolerant control of the system is realized. The simulation results are presented to demonstrate the approach.<\/jats:p>","DOI":"10.1155\/2017\/8595960","type":"journal-article","created":{"date-parts":[[2017,3,9]],"date-time":"2017-03-09T16:00:47Z","timestamp":1489075247000},"page":"1-13","source":"Crossref","is-referenced-by-count":9,"title":["Fault-Tolerant Control of a Nonlinear System Actuator Fault Based on Sliding Mode Control"],"prefix":"10.1155","volume":"2017","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3650-3270","authenticated-orcid":true,"given":"Jing","family":"He","sequence":"first","affiliation":[{"name":"College of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, Hunan 412007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lin","family":"Mi","sequence":"additional","affiliation":[{"name":"College of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, Hunan 412007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Songan","family":"Mao","sequence":"additional","affiliation":[{"name":"School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN 47907, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9800-3984","authenticated-orcid":true,"given":"Changfan","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, Hunan 412007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Houguang","family":"Chu","sequence":"additional","affiliation":[{"name":"College of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, Hunan 412007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"year":"2006","key":"1"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.simpat.2008.04.008"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1002\/acs.1084"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2012.2231950"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1109\/TVT.2013.2274289"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2014.11.006"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1109\/tcyb.2016.2553043"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1109\/tcst.2016.2524595"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.12733\/jics20101721"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.4028\/www.scientific.net\/amm.325-326.1099"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2011.2159606"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2012.0696"},{"issue":"1","key":"13","first-page":"293","volume":"10","year":"2014","journal-title":"International Journal of Innovative Computing, Information and Control"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2287115"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2013.2273477"},{"journal-title":"Chinese Conference of Decision and Control","first-page":"4961","year":"2013","key":"16"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1177\/0959651811399542"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/s0005-1098(98)00013-2"},{"issue":"7","key":"20","first-page":"2713","volume":"9","year":"2013","journal-title":"International Journal of Innovative Computing, Information and Control"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1109\/tac.2005.843875"}],"container-title":["Journal of Control Science and Engineering"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jcse\/2017\/8595960.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jcse\/2017\/8595960.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jcse\/2017\/8595960.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,3,9]],"date-time":"2017-03-09T16:00:54Z","timestamp":1489075254000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/jcse\/2017\/8595960\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"references-count":20,"alternative-id":["8595960","8595960"],"URL":"https:\/\/doi.org\/10.1155\/2017\/8595960","relation":{},"ISSN":["1687-5249","1687-5257"],"issn-type":[{"type":"print","value":"1687-5249"},{"type":"electronic","value":"1687-5257"}],"subject":[],"published":{"date-parts":[[2017]]}}}