{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T04:03:53Z","timestamp":1782878633635,"version":"3.54.5"},"reference-count":36,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2019,9,17]],"date-time":"2019-09-17T00:00:00Z","timestamp":1568678400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61873296"],"award-info":[{"award-number":["61873296"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2020,2]]},"abstract":"<jats:p>This paper proposes an adaptive fault-tolerant control scheme for a single-link flexible manipulator with actuator failure and uncertain boundary disturbance. The dynamic model of the flexible manipulator as-described by partial differential equations (PDEs) is derived under Hamilton\u2019s principle. The dynamic model is then used to design an adaptive fault-tolerant control (FTC) scheme which tracks the given angle and regulates vibration in the case of actuator failure. The boundary disturbance is compensated by a radial basis function (RBF) neural network. The whole closed-loop system is proven asymptotically stable by Lyapunov direct method and LaSalle\u2019s invariance principle. Simulation results indicate that the proposed controller is superior to the traditional PD controller.<\/jats:p>","DOI":"10.1177\/0142331219874157","type":"journal-article","created":{"date-parts":[[2019,9,18]],"date-time":"2019-09-18T01:48:25Z","timestamp":1568771305000},"page":"430-438","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":23,"title":["Neural-network-based adaptive fault-tolerant vibration control of single-link flexible manipulator"],"prefix":"10.1177","volume":"42","author":[{"given":"Le","family":"Li","sequence":"first","affiliation":[{"name":"School of Automation Science and Electrical Engineering, Beihang University, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6652-1229","authenticated-orcid":false,"given":"Jinkun","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Automation Science and Electrical Engineering, Beihang University, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"179","published-online":{"date-parts":[[2019,9,17]]},"reference":[{"key":"bibr1-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechmachtheory.2009.01.009"},{"key":"bibr2-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1080\/00207179308923015"},{"key":"bibr3-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1177\/1077546318772476"},{"key":"bibr4-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1177\/1077546309340994"},{"key":"bibr5-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechmachtheory.2013.07.009"},{"key":"bibr6-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1080\/0020717-9.2018.1484572"},{"issue":"1","key":"bibr7-0142331219874157","first-page":"48","volume":"20","author":"He W","year":"2012","journal-title":"IEEE Transactions on Control Systems Technology"},{"key":"bibr8-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2015.2429555"},{"key":"bibr9-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2017.2780055"},{"key":"bibr10-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2016.2608739"},{"key":"bibr11-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1177\/0142331217714524"},{"key":"bibr12-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2018.11.045"},{"key":"bibr13-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898718607"},{"key":"bibr14-0142331219874157","volume-title":"Stability by Lyapunov\u2019s Direct Method with Applications","author":"LaSalle J","year":"1961"},{"issue":"2","key":"bibr15-0142331219874157","first-page":"24","volume":"41","author":"Liu Y","year":"2013","journal-title":"Journal of South China University of Technology"},{"key":"bibr16-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2018.2884172"},{"key":"bibr17-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2018.2843523"},{"key":"bibr18-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.3538"},{"key":"bibr19-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1002\/rnc.4113"},{"key":"bibr20-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2018.09.021"},{"key":"bibr21-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2019.2901283"},{"key":"bibr22-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1115\/1.1421112"},{"key":"bibr23-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2012.01.012"},{"key":"bibr24-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1016\/S0957-4158(00)00045-3"},{"key":"bibr25-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1109\/TAES.2004.1386887"},{"key":"bibr26-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2013.2264939"},{"key":"bibr27-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2010.09.006"},{"key":"bibr28-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2018.2803773"},{"key":"bibr29-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2018.2864940"},{"key":"bibr30-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1016\/0167-6911(94)00044-V"},{"key":"bibr31-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2011.0593"},{"key":"bibr32-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1177\/0142331217730887"},{"key":"bibr33-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2010.0383"},{"key":"bibr34-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2019.2912900"},{"key":"bibr35-0142331219874157","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2018.2882734"},{"key":"bibr36-0142331219874157","first-page":"1","author":"Zhao Z","year":"2019","journal-title":"IEEE Transactions on Circuits and Systems II: Express Briefs"}],"container-title":["Transactions of the Institute of Measurement and Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331219874157","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/0142331219874157","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0142331219874157","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T15:00:02Z","timestamp":1777647602000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/0142331219874157"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,9,17]]},"references-count":36,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,2]]}},"alternative-id":["10.1177\/0142331219874157"],"URL":"https:\/\/doi.org\/10.1177\/0142331219874157","relation":{},"ISSN":["0142-3312","1477-0369"],"issn-type":[{"value":"0142-3312","type":"print"},{"value":"1477-0369","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,9,17]]}}}