{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,24]],"date-time":"2026-01-24T10:14:59Z","timestamp":1769249699593,"version":"3.49.0"},"reference-count":36,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2022,6,29]],"date-time":"2022-06-29T00:00:00Z","timestamp":1656460800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/501100011665","name":"Deanship of Scientific Research, King Saud University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100011665","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004054","name":"King Abdulaziz University","doi-asserted-by":"publisher","award":["RG-1-611-43"],"award-info":[{"award-number":["RG-1-611-43"]}],"id":[{"id":"10.13039\/501100004054","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,9,17]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>The finite-time tracking control issue for a class of nonlinear pure-feedback system with prescribed performance and unknown hysteresis is investigated in this work. To solve the Bouc-Wen hysteresis with unknown parameters and direction conditions, the Nussbaum function and auxiliary virtual control function are used. A finite-time performance function is applied in prescribed performance, which can make the tracking error is limited to a pre-given boundary in finite time. Moreover, the mean-value theorem is applied to solve the difficulty of pure-feedback form. Combined with backstepping technique, an adaptive tracking control scheme is designed to make sure that all the closed-loop signals are bounded and that the tracking error converges to pro-given boundary. Finally, a simulation example is presented to show the effectiveness of the proposed control scheme.<\/jats:p>","DOI":"10.1093\/imamci\/dnac015","type":"journal-article","created":{"date-parts":[[2022,6,29]],"date-time":"2022-06-29T12:12:59Z","timestamp":1656504779000},"page":"892-911","source":"Crossref","is-referenced-by-count":24,"title":["Adaptive tracking control for nonlinear system in pure-feedback form with prescribed performance and unknown hysteresis"],"prefix":"10.1093","volume":"39","author":[{"given":"Yi","family":"Chang","sequence":"first","affiliation":[{"name":"College of Control Science and Engineering , Bohai University, Jinzhou 121013, Liaoning , China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ben","family":"Niu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huanqing","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Mathematical Sciences , Bohai University, Jinzhou 121013, Liaoning , China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liang","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Control Science and Engineering , Bohai University, Jinzhou 121013, Liaoning , China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Adil M","family":"Ahmad","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Madini O","family":"Alassafi","sequence":"additional","affiliation":[{"name":"Department of Information Technology , Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah , Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2022,6,29]]},"reference":[{"key":"2022092009531958900_ref1","doi-asserted-by":"crossref","first-page":"2090","DOI":"10.1109\/TAC.2008.929402","article-title":"Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance","volume":"53","author":"Bechlioulis","year":"2008","journal-title":"IEEE Trans. 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Control Signal Process."},{"key":"2022092009531958900_ref5","doi-asserted-by":"crossref","first-page":"1731","DOI":"10.1080\/00207721.2020.1863503","article-title":"Switched-observer-based adaptive output-feedback control design with unknown gain for pure-feedback switched nonlinear systems via average dwell time","volume":"52","author":"Chang","year":"2021","journal-title":"Int. J. Syst. Sci."},{"key":"2022092009531958900_ref6","doi-asserted-by":"crossref","DOI":"10.1002\/rnc.6154","article-title":"Command filtering-based adaptive neural network control for uncertain switched nonlinear systems using event-triggered communication","volume":"32","author":"Chen","year":"2022","journal-title":"Int. J. Robust Nonlinear Control"},{"key":"2022092009531958900_ref7","doi-asserted-by":"crossref","first-page":"1801","DOI":"10.1016\/j.jfranklin.2016.12.029","article-title":"Adaptive tracking control for uncertain switched stochastic nonlinear pure-feedback systems with unknown backlash-like hysteresis","volume":"354","author":"Cui","year":"2017","journal-title":"J. Frankl. Inst."},{"key":"2022092009531958900_ref1c","volume":"31","journal-title":"Int. J. Robust Nonlinear Control"},{"key":"2022092009531958900_ref10","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-8176-4759-9","volume-title":"Robust Nonlinear Control Design","author":"Freeman","year":"1996"},{"key":"2022092009531958900_ref11","doi-asserted-by":"crossref","first-page":"2750","DOI":"10.1016\/j.jfranklin.2015.03.034","article-title":"Output feedback prescribed performance control for interconnected time-delay systems with unknown Prandtl-Ishlinskii hysteresis","volume":"352","author":"Hua","year":"2015","journal-title":"J. Frankl. Inst."},{"key":"2022092009531958900_ref12","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1109\/ICICTA.2008.72","volume-title":"2008 International Conference on Intelligent Computation Technology and Automation (ICICTA)","author":"Kang","year":"2008"},{"key":"2022092009531958900_ref13","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1109\/37.165507","article-title":"The joy of feedback: nonlinear and adaptive","volume":"12","author":"Kokotovic","year":"1992","journal-title":"IEEE Control. Syst."},{"key":"2022092009531958900_ref15","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/j.ins.2014.08.060","article-title":"Prescribed performance adaptive fuzzy output-feedback dynamic surface control for nonlinear large-scale systems with time delays","volume":"292","author":"Li","year":"2015","journal-title":"Inf. Sci."},{"key":"2022092009531958900_ref17","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1109\/TCYB.2014.2333738","article-title":"Adaptive fuzzy output feedback dynamic surface control of interconnected nonlinear pure-feedback systems","volume":"45","author":"Li","year":"2015","journal-title":"IEEE Trans. Cybernetics"},{"key":"2022092009531958900_ref18","doi-asserted-by":"crossref","first-page":"1664","DOI":"10.1002\/acs.3283","article-title":"Smal-gain technique-based adaptive fuzzy command filtered control for uncertain nonlinear systems with unmodeled dynamics and disturbances","volume":"35","author":"Li","year":"2021","journal-title":"Int. J. Adapt. Control Signal Process."},{"key":"2022092009531958900_ref19","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1080\/00207721.2021.1943562","article-title":"Command filter-based adaptive neural finite-time control for stochastic nonlinear systems with time-varying full-state constraints and asymmetric input saturation","volume":"53","author":"Li","year":"2021","journal-title":"Int. J. Syst. Sci."},{"key":"2022092009531958900_ref20","doi-asserted-by":"crossref","first-page":"2129","DOI":"10.1109\/TNNLS.2014.2305717","article-title":"Adaptive neural control for a class of nonlinear time-varying delay systems with unknown hysteresis","volume":"25","author":"Liu","year":"2014","journal-title":"IEEE Trans. Neural Netw. Learn. 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Syst."},{"key":"2022092009531958900_ref27","doi-asserted-by":"crossref","first-page":"3378","DOI":"10.1080\/00207721.2016.1151962","article-title":"Adaptive neural network tracking control for a class of switched stochastic pure-feedback nonlinear systems with backlash-like hysteresis","volume":"47","author":"Niu","year":"2016","journal-title":"Int. J. Syst. Sci."},{"key":"2022092009531958900_ref29","doi-asserted-by":"crossref","first-page":"2774","DOI":"10.1109\/TCYB.2017.2749511","article-title":"Finite-time adaptive control for a class of nonlinear systems with nonstrict feedback structure","volume":"48","author":"Sun","year":"2018","journal-title":"IEEE Trans. Cybernetics"},{"key":"2022092009531958900_ref30","article-title":"Adaptive fuzzy tracking control of switched MIMO nonlinear systems with full state constraints and unknown control directions","volume":"59","author":"Tang","year":"2022","journal-title":"IEEE Trans Circuits Syst. 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Comput."},{"key":"2022092009531958900_ref38","doi-asserted-by":"crossref","first-page":"756","DOI":"10.1016\/j.ins.2021.08.062","article-title":"Sliding-mode surface-based adaptive actor-critic optimal control for switched nonlinear systems with average dwell time","volume":"580","author":"Zhang","year":"2021","journal-title":"Inf. Sci."},{"key":"2022092009531958900_ref39","doi-asserted-by":"crossref","first-page":"1499","DOI":"10.1080\/00207721.2020.1831645","article-title":"Adaptive fuzzy hierarchical sliding mode control of uncertain under-actuated switched nonlinear systems with actuator faults","volume":"52","author":"Zhang","year":"2021","journal-title":"Int. J. Syst. Sci."},{"key":"2022092009531958900_ref40","doi-asserted-by":"crossref","DOI":"10.1080\/00207721.2021.2017063","article-title":"Adaptive neural decentralized control for switched interconnected nonlinear systems with backlash-like hysteresis and output constraints","volume":"53","author":"Zhao","year":"2022","journal-title":"Int. J. Syst. Sci."},{"key":"2022092009531958900_ref41","doi-asserted-by":"crossref","first-page":"2627","DOI":"10.1109\/TAC.2012.2190208","article-title":"Adaptive output feedback control of uncertain nonlinear systems with hysteresis nonlinearity","volume":"57","author":"Zhou","year":"2012","journal-title":"IEEE Trans. Autom. Control"},{"key":"2022092009531958900_ref42","doi-asserted-by":"crossref","first-page":"886","DOI":"10.1109\/TFUZZ.2008.917301","article-title":"Adaptive control of a class of nonlinear pure-feedback systems using fuzzy backstepping approach","volume":"16","author":"Zou","year":"2008","journal-title":"IEEE Trans. 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