{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T15:33:06Z","timestamp":1772292786851,"version":"3.50.1"},"reference-count":15,"publisher":"Cambridge University Press (CUP)","issue":"5","license":[{"start":{"date-parts":[[2014,9,4]],"date-time":"2014-09-04T00:00:00Z","timestamp":1409788800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Struct. Comp. Sci."],"published-print":{"date-parts":[[2014,10]]},"abstract":"<jats:p>We consider a class of uncertain non-linear systems preceded by unknown backlash-like hysteresis, which is modelled by a differential equation. We propose a new state feedback robust adaptive control scheme using a backstepping technique and properties of the differential equation. In this control scheme, we construct a new continuous function to design an estimator to estimate the unknown constant parameters and the unknown bound of a \u2018disturbance-like\u2019 term. The transient performance of the output tracking error can be guaranteed by the introduction of pre-estimates of the unknown parameters in our controller together with update laws. We do not require bounds on the \u2018disturbance-like\u2019 term or unknown system parameters in this scheme. The global stability of the closed-loop system can be proved.<\/jats:p>","DOI":"10.1017\/s0960129512000473","type":"journal-article","created":{"date-parts":[[2014,9,5]],"date-time":"2014-09-05T00:08:51Z","timestamp":1409875731000},"source":"Crossref","is-referenced-by-count":4,"title":["Adaptive control of a class of non-linear systems preceded by backlash-like hysteresis"],"prefix":"10.1017","volume":"24","author":[{"given":"JIANPING","family":"CAI","sequence":"first","affiliation":[]},{"given":"LUJUAN","family":"SHEN","sequence":"additional","affiliation":[]},{"given":"FUZHEN","family":"WU","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,9,4]]},"reference":[{"key":"S0960129512000473_ref5","doi-asserted-by":"publisher","DOI":"10.1109\/9.895588"},{"key":"S0960129512000473_ref7","doi-asserted-by":"publisher","DOI":"10.1109\/9.341778"},{"key":"S0960129512000473_ref1","doi-asserted-by":"publisher","DOI":"10.1109\/87.974349"},{"key":"S0960129512000473_ref6","doi-asserted-by":"crossref","unstructured":"Sun X. , Zhang W. and Jin Y. (1992) Stable adaptive control of backlash nonlinear systems with bounded disturbance. Proceedings of the 31th IEEE Conference on Decision and Control 274\u2013275.","DOI":"10.1109\/CDC.1992.371740"},{"key":"S0960129512000473_ref2","doi-asserted-by":"crossref","unstructured":"Jang J. O. , Son M. K. and Chung H. T. (2004) Friction and output backlash compensation of systems using neural networks and fuzzy logic. Proceedings of the 2004 American Control Conference 1758\u20131763.","DOI":"10.23919\/ACC.2004.1386834"},{"key":"S0960129512000473_ref8","doi-asserted-by":"publisher","DOI":"10.1109\/9.341803"},{"key":"S0960129512000473_ref15","doi-asserted-by":"crossref","unstructured":"Zhou J. , Wen C. and Zhang C. (2007b) Adaptive output control of uncertain nonlinear systems with unknown backlash. 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In: Proceedings of the 2004 IEEE Conference on Cybernetics and Intelligent Systems 12\u201317."},{"key":"S0960129512000473_ref3","volume-title":"Nonlinear and adaptive control design","author":"Krstic","year":"1995"},{"key":"S0960129512000473_ref4","doi-asserted-by":"crossref","unstructured":"Pare T. E. and How J. P. (1998) Robust stability and performance analysis of systems with hysteresis nonlinearities. In: Proceedings of the 1998 American Control Conference 1904\u20131908.","DOI":"10.1109\/ACC.1998.707353"},{"key":"S0960129512000473_ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2006.890473"}],"container-title":["Mathematical Structures in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0960129512000473","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,22]],"date-time":"2019-04-22T00:20:33Z","timestamp":1555892433000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0960129512000473\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,9,4]]},"references-count":15,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2014,10]]}},"alternative-id":["S0960129512000473"],"URL":"https:\/\/doi.org\/10.1017\/s0960129512000473","relation":{},"ISSN":["0960-1295","1469-8072"],"issn-type":[{"value":"0960-1295","type":"print"},{"value":"1469-8072","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,9,4]]},"article-number":"e240504"}}