{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T20:39:14Z","timestamp":1777927154976,"version":"3.51.4"},"reference-count":54,"publisher":"SAGE Publications","issue":"8","license":[{"start":{"date-parts":[[2018,5,9]],"date-time":"2018-05-09T00:00:00Z","timestamp":1525824000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100007053","name":"Korea Institute of Energy Technology Evaluation and Planning","doi-asserted-by":"publisher","award":["G032070311"],"award-info":[{"award-number":["G032070311"]}],"id":[{"id":"10.13039\/501100007053","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"published-print":{"date-parts":[[2018,8]]},"abstract":"<jats:p>This article proposed a variable gain fast terminal sliding mode controller with an estimator of the uncertainty model for a piezo positioning stage system. The designed terminal sliding mode control has some advantages over the linear sliding mode control such as fast convergence and chattering reduction while maintains its robustness to the uncertainties. Next, an indirect technique is developed to enable the elimination of the singularity problem corresponding to initial terminal sliding mode control. In addition, a cerebellar model articulation controller is carried out to estimate the nonlinear dynamics of the piezo positioning stage. To deal with unknown bounds of uncertainties and disturbances, the proposed scheme consists of using online tuning control gains that ensure the establishment of a real terminal sliding mode in a finite time. Moreover, a fuzzy logic scheme is presented to smooth out the discontinuity part of the control signal, hence improve the control performance. Stability analysis of closed loop system is provided using the Lyapunov function method. Experiment results are presented to evaluate the effectiveness of the designed control approach.<\/jats:p>","DOI":"10.1177\/0959651818771810","type":"journal-article","created":{"date-parts":[[2018,5,9]],"date-time":"2018-05-09T07:04:14Z","timestamp":1525849454000},"page":"994-1014","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Adaptive-gain fast nonsingular terminal sliding mode for position control of a piezo positioning stage"],"prefix":"10.1177","volume":"232","author":[{"given":"To Xuan","family":"Dinh","sequence":"first","affiliation":[{"name":"University of Ulsan, Ulsan, South Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kyoung Kwan","family":"Ahn","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, University of Ulsan, Ulsan, South Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2018,5,9]]},"reference":[{"key":"bibr1-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TUFFC.2006.119"},{"key":"bibr2-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2007.916319"},{"key":"bibr3-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2013.2253071"},{"key":"bibr4-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1007\/s12555-016-0650-1"},{"key":"bibr5-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TUFFC.2003.1193618"},{"key":"bibr6-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TUFFC.2008.627"},{"key":"bibr7-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TMECH.2009.2023986"},{"key":"bibr8-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechatronics.2006.03.005"},{"key":"bibr9-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2008.926768"},{"key":"bibr10-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1016\/j.sna.2015.03.032"},{"key":"bibr11-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1016\/j.sna.2012.05.012"},{"key":"bibr12-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/3516.974856"},{"key":"bibr13-0959651818771810","first-page":"13924","volume":"38","author":"Lin J","year":"2011","journal-title":"Expert Syst Appl"},{"key":"bibr14-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2005.854336"},{"key":"bibr15-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1088\/0957-4484\/19\/12\/125503"},{"key":"bibr16-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1088\/0964-1726\/6\/4\/003"},{"key":"bibr17-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2007.899722"},{"key":"bibr18-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2012.2201718"},{"key":"bibr19-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta:20060151"},{"key":"bibr20-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TCST.2009.2028878"},{"key":"bibr21-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6911(98)00036-X"},{"key":"bibr22-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(02)00147-4"},{"key":"bibr23-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/81.983876"},{"key":"bibr24-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1016\/j.sna.2003.11.016"},{"key":"bibr25-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1016\/j.sna.2006.12.011"},{"key":"bibr26-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2017.2655501"},{"key":"bibr27-0959651818771810","first-page":"2568","volume":"47","author":"Zhao X","year":"2017","journal-title":"IEEE T Fuzzy Syst"},{"key":"bibr28-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1007\/s12555-010-0615-8"},{"key":"bibr29-0959651818771810","volume-title":"Proceedings of the 2009 IEEE\/ASME international conference on advanced intelligent mechatronics","author":"Xu Q"},{"key":"bibr30-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2016.2607166"},{"key":"bibr31-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2016.2627048"},{"key":"bibr32-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2008.07.004"},{"key":"bibr33-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1177\/0959651815617884"},{"key":"bibr34-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TASE.2015.2451368"},{"key":"bibr35-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1177\/095965180221600602"},{"key":"bibr36-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1177\/095965180221600503"},{"key":"bibr37-0959651818771810","first-page":"77","volume-title":"Proceedings of the 2009 3rd international workshop on soft computing applications","author":"Roopaei M"},{"key":"bibr38-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1063\/1.3072786"},{"key":"bibr39-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TIA.2014.2328711"},{"key":"bibr40-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TUFFC.2005.1561674"},{"key":"bibr41-0959651818771810","volume-title":"Power electronics: converters, applications, and design","author":"Mohan N","year":"1989"},{"key":"bibr42-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijmecsci.2016.01.016"},{"key":"bibr43-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1115\/1.3426922"},{"key":"bibr44-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2006.05.018"},{"key":"bibr45-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TMECH.2014.2323897"},{"key":"bibr46-0959651818771810","volume-title":"Applied nonlinear control","author":"Slotine JJ","year":"1991"},{"key":"bibr47-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2005.07.001"},{"key":"bibr48-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2010.2101592"},{"key":"bibr49-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1080\/00207179.2010.501385"},{"key":"bibr50-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1016\/j.arcontrol.2007.08.001"},{"key":"bibr51-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TMECH.2011.2153866"},{"key":"bibr52-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1080\/00207728608926853"},{"key":"bibr53-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2012.2202354"},{"key":"bibr54-0959651818771810","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2016.06.002"}],"container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0959651818771810","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/0959651818771810","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0959651818771810","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T22:36:22Z","timestamp":1777674982000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/0959651818771810"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,5,9]]},"references-count":54,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2018,8]]}},"alternative-id":["10.1177\/0959651818771810"],"URL":"https:\/\/doi.org\/10.1177\/0959651818771810","relation":{},"ISSN":["0959-6518","2041-3041"],"issn-type":[{"value":"0959-6518","type":"print"},{"value":"2041-3041","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,5,9]]}}}