{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,6]],"date-time":"2025-05-06T04:29:37Z","timestamp":1746505777744},"reference-count":16,"publisher":"Walter de Gruyter GmbH","issue":"1","license":[{"start":{"date-parts":[[2018,8,22]],"date-time":"2018-08-22T00:00:00Z","timestamp":1534896000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018,8,22]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This paper proposes the mathematical modeling and robust control algorithms for linear belt system with the help of sliding mode control approach. Due to the elasticity of the belt, the presence of frictions, and the un-modeled dynamics, conventional controllers cannot provide precise position control of carriage. Dealing with this kind of system, a robust controller is needed and the chattering-free sliding mode control (SMC) approach is used to design the robust controller. A belt stretching estimator is also incorporated into the control law. Simulations show that the system is free from chattering and robust to disturbances. The reference tracking position is performed with the minimal errors to an extent that can be considered negligible. The time for reaching the reference tracking position is very fast. The system is safe for all mechanical and electrical devices.<\/jats:p>","DOI":"10.1515\/comp-2018-0010","type":"journal-article","created":{"date-parts":[[2018,8,23]],"date-time":"2018-08-23T09:01:20Z","timestamp":1535014880000},"page":"142-153","source":"Crossref","is-referenced-by-count":3,"title":["Modeling and robust control algorithms for a linear belt driven system"],"prefix":"10.1515","volume":"8","author":[{"given":"Vu Trieu","family":"Minh","sequence":"first","affiliation":[{"name":"1Department of Electrical Power Engineering and Mechatronics Tallinn University of Technology,Tallinn, Estonia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mart","family":"Tamre","sequence":"additional","affiliation":[{"name":"1Department of Electrical Power Engineering and Mechatronics Tallinn University of Technology,Tallinn, Estonia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Even","family":"Sekhri","sequence":"additional","affiliation":[{"name":"1Department of Electrical Power Engineering and Mechatronics Tallinn University of Technology,Tallinn, Estonia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","reference":[{"key":"ref81","first-page":"2015","article-title":"Hyperbolic tangent based switching reaching law for discrete time sliding mode control of dynamical systems In : Proceedings of Recent Advances in Sliding Modes Istanbul Turkey","author":"Lesniewski"},{"key":"ref151","first-page":"2014","article-title":"Fuzzy sliding mode control design for a class of disturbed systems of Franklin Institute","volume":"16","author":"Wanga","journal-title":"Journal"},{"key":"ref161","first-page":"226","article-title":"of a real - time clutch transition strategy for parallel hybrid electric vehicle of Systems and","volume":"17","author":"Minh","year":"2012","journal-title":"Development Journal Control Engineering"},{"key":"ref51","article-title":"Sliding mode control of timing - belt servo system In Proceedings of IEEE International Conference on Electrical Drives and Rio de Janeiro","author":"Sabanovic","year":"2003","journal-title":"Power Electronics"},{"key":"ref121","first-page":"2015","article-title":"Adaptive Chattering - free sliding mode control design using fuzzy model of the system and estimated uncertainties and its application to robot manipulators In : Proceedings of Recent Advances in Sliding Modes Istanbul Turkey","volume":"13","author":"Zeinali"},{"key":"ref171","doi-asserted-by":"crossref","first-page":"382","DOI":"10.1002\/asjc.346","article-title":"Fault detection model based controller for process system of","volume":"18","author":"Minh","year":"2011","journal-title":"Asian Journal Control"},{"key":"ref31","article-title":"Resonant load control methods for industrial servo drives In Proceedings of Annual Meeting of IEEE Industry Applications","author":"Ellis","year":"2000","journal-title":"Society"},{"key":"ref131","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1016\/j.mechmachtheory.2009.08.003","article-title":"Adaptive Sliding mode control with uncertainty estimator for robot manipulators of Mechanism and","volume":"14","author":"Zeinali","year":"2010","journal-title":"Journal Machine Theory"},{"key":"ref181","doi-asserted-by":"crossref","first-page":"526","DOI":"10.1007\/s12555-012-0006-4","article-title":"logic and slip controller of clutch and vibration for hybrid vehicle of and","volume":"19","author":"Minh","year":"2013","journal-title":"Fuzzy International Journal Control Automation Systems"},{"key":"ref141","first-page":"404702","article-title":"Rani Modeling and control of distillation column in a petroleum process Mathematical Problems in Engineering Open Access art ID","volume":"15","author":"Minh","year":"2009"},{"key":"ref111","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1080\/00207720701711594","article-title":"Discrete time output feedback sliding mode control for nonlinear MIMO systems step motor case","volume":"12","author":"Bandyopadhyay","year":"2008","journal-title":"International Journal of Systems Science"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1109\/41.847901","article-title":"Speed control of two - inertia system by PI control on","volume":"47","author":"Zhang","year":"2000","journal-title":"IEEE Transactions Industrial Electronics"},{"key":"ref61","first-page":"137","article-title":"Designing robust control by sliding mode control technique Research Publications","volume":"3","author":"Gurbani","year":"2013"},{"key":"ref01","first-page":"1","article-title":"Dynamics of a belt - drive system using a linear complimentarity problem for the belt - pulley contact description of and","author":"Cepon","year":"2009","journal-title":"Journal Sound Vibration"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"3402","DOI":"10.1109\/TIE.2007.906130","article-title":"with disturbance observer for a linear belt drive on","volume":"54","author":"Hace","year":"2007","journal-title":"IEEE Transactions Industrial Electronics"},{"key":"ref41","doi-asserted-by":"crossref","first-page":"1380","DOI":"10.1109\/TAC.2010.2041973","article-title":"Chattering analysis on","volume":"55","author":"Levant","year":"2010","journal-title":"IEEE Transactions Automatic Control"}],"container-title":["Open Computer Science"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/comp\/8\/1\/article-p142.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/downloadpdf\/journals\/comp\/8\/1\/article-p142.xml","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,2,28]],"date-time":"2021-02-28T03:22:19Z","timestamp":1614482539000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/comp-2018-0010\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,22]]},"references-count":16,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1515\/comp-2018-0010","relation":{},"ISSN":["2299-1093"],"issn-type":[{"value":"2299-1093","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,8,22]]}}}