{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,26]],"date-time":"2026-08-26T15:35:37Z","timestamp":1787758537897,"version":"build-2784847793"},"reference-count":46,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2022,12,26]],"date-time":"2022-12-26T00:00:00Z","timestamp":1672012800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,12,26]],"date-time":"2022-12-26T00:00:00Z","timestamp":1672012800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Sci. China Inf. Sci."],"published-print":{"date-parts":[[2023,1]]},"DOI":"10.1007\/s11432-021-3434-9","type":"journal-article","created":{"date-parts":[[2023,1,4]],"date-time":"2023-01-04T06:03:09Z","timestamp":1672812189000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Pattern-based learning and control of nonlinear pure-feedback systems with prescribed performance"],"prefix":"10.1007","volume":"66","author":[{"given":"Fukai","family":"Zhang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Weiming","family":"Wu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Cong","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,12,26]]},"reference":[{"key":"3434_CR1","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1109\/9.554398","volume":"42","author":"K S Narendra","year":"1997","unstructured":"Narendra K S, Balakrishnan J. Adaptive control using multiple models. IEEE Trans Automat Contr, 1997, 42: 171\u2013187","journal-title":"IEEE Trans Automat Contr"},{"key":"3434_CR2","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1109\/TAC.1970.1099405","volume":"15","author":"K S Fu","year":"1970","unstructured":"Fu K S. Learning control systems\u2014review and outlook. IEEE Trans Automat Contr, 1970, 15: 210\u2013221","journal-title":"IEEE Trans Automat Contr"},{"key":"3434_CR3","volume-title":"Adaptive, Learning, and Pattern Recognition Systems: Theory and Applications","author":"K S Fu","year":"1970","unstructured":"Fu K S, Mendel J M. Adaptive, Learning, and Pattern Recognition Systems: Theory and Applications. Pittsburgh: Academic Press, 1970"},{"key":"3434_CR4","doi-asserted-by":"publisher","first-page":"407","DOI":"10.1109\/72.668883","volume":"9","author":"S W Lu","year":"1998","unstructured":"Lu S W, Basar T. Robust nonlinear system identification using neural-network models. IEEE Trans Neural Netw, 1998, 9: 407\u2013429","journal-title":"IEEE Trans Neural Netw"},{"key":"3434_CR5","doi-asserted-by":"publisher","first-page":"310","DOI":"10.1109\/TFUZZ.2020.3037957","volume":"30","author":"L Q Wang","year":"2022","unstructured":"Wang L Q, Dong J X. Adaptive fuzzy consensus tracking control for uncertain fractional-order multiagent systems with event-triggered input. IEEE Trans Fuzzy Syst, 2022, 30: 310\u2013320","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"3434_CR6","doi-asserted-by":"publisher","first-page":"3801","DOI":"10.1002\/rnc.4965","volume":"30","author":"W L Chen","year":"2020","unstructured":"Chen W L, Wang J H, Ma K M, et al. Adaptive event-triggered neural control for nonlinear uncertain system with input constraint. Int J Robust Nonlinear Control, 2020, 30: 3801\u20133815","journal-title":"Int J Robust Nonlinear Control"},{"key":"3434_CR7","doi-asserted-by":"publisher","first-page":"671","DOI":"10.1016\/S0005-1098(01)00254-0","volume":"38","author":"S S Ge","year":"2002","unstructured":"Ge S S, Wang C. Adaptive NN control of uncertain nonlinear pure-feedback systems. Automatica, 2002, 38: 671\u2013682","journal-title":"Automatica"},{"key":"3434_CR8","doi-asserted-by":"publisher","first-page":"723","DOI":"10.1016\/j.automatica.2006.01.004","volume":"42","author":"C Wang","year":"2006","unstructured":"Wang C, Hill D J, Ge S S, et al. An ISS-modular approach for adaptive neural control of pure-feedback systems. Automatica, 2006, 42: 723\u2013731","journal-title":"Automatica"},{"key":"3434_CR9","doi-asserted-by":"publisher","unstructured":"Liu Y J, Zhao W, Liu L, et al. Adaptive neural network control for a class of nonlinear systems with function constraints on states. IEEE Trans Neural Netw Learn Syst, 2021. doi: https:\/\/doi.org\/10.1109\/TNNLS.2021.3107600","DOI":"10.1109\/TNNLS.2021.3107600"},{"key":"3434_CR10","doi-asserted-by":"publisher","unstructured":"Xin C, Li Y X, Ahn C K. Adaptive neural asymptotic tracking of uncertain non-strict feedback systems with full-state constraints via command filtered technique. IEEE Trans Neural Netw Learn Syst, 2022. doi: https:\/\/doi.org\/10.1109\/TNNLS.2022.3141091","DOI":"10.1109\/TNNLS.2022.3141091"},{"key":"3434_CR11","first-page":"126637","volume":"413","author":"J Wu","year":"2022","unstructured":"Wu J, Sun W, Su S F, et al. Neural-based adaptive control for nonlinear systems with quantized input and the output constraint. Appl Math Comput, 2022, 413: 126637","journal-title":"Appl Math Comput"},{"key":"3434_CR12","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/j.ins.2021.10.021","volume":"584","author":"Z B Lin","year":"2022","unstructured":"Lin Z B, Liu Z, Zhang Y, et al. Adaptive neural inverse optimal tracking control for uncertain multi-agent systems. Inf Sci, 2022, 584: 31\u201349","journal-title":"Inf Sci"},{"key":"3434_CR13","doi-asserted-by":"publisher","first-page":"1893","DOI":"10.1109\/TAC.2000.880994","volume":"45","author":"D Swaroop","year":"2000","unstructured":"Swaroop D, Hedrick J K, Yip P P, et al. Dynamic surface control for a class of nonlinear systems. IEEE Trans Automat Contr, 2000, 45: 1893\u20131899","journal-title":"IEEE Trans Automat Contr"},{"key":"3434_CR14","doi-asserted-by":"publisher","first-page":"1895","DOI":"10.1016\/j.automatica.2007.11.025","volume":"44","author":"T P Zhang","year":"2008","unstructured":"Zhang T P, Ge S S. Adaptive dynamic surface control of nonlinear systems with unknown dead zone in pure feedback form. Automatica, 2008, 44: 1895\u20131903","journal-title":"Automatica"},{"key":"3434_CR15","doi-asserted-by":"publisher","first-page":"4703","DOI":"10.1109\/TNNLS.2020.3027339","volume":"32","author":"S Sui","year":"2021","unstructured":"Sui S, Chen C L P, Tong S. Neural-network-based adaptive DSC design for switched fractional-order nonlinear systems. IEEE Trans Neural Netw Learn Syst, 2021, 32: 4703\u20134712","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"3434_CR16","doi-asserted-by":"publisher","first-page":"527","DOI":"10.1002\/rnc.1608","volume":"21","author":"D Wang","year":"2011","unstructured":"Wang D. Neural network-based adaptive dynamic surface control of uncertain nonlinear pure-feedback systems. Int J Robust Nonlinear Control, 2011, 21: 527\u2013541","journal-title":"Int J Robust Nonlinear Control"},{"key":"3434_CR17","doi-asserted-by":"publisher","first-page":"2090","DOI":"10.1109\/TAC.2008.929402","volume":"53","author":"C P Bechlioulis","year":"2008","unstructured":"Bechlioulis C P, Rovithakis G A. Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance. IEEE Trans Automat Contr, 2008, 53: 2090\u20132099","journal-title":"IEEE Trans Automat Contr"},{"key":"3434_CR18","doi-asserted-by":"publisher","first-page":"1857","DOI":"10.1109\/TNN.2010.2076302","volume":"21","author":"C P Bechlioulis","year":"2010","unstructured":"Bechlioulis C P, Doulgeri Z, Rovithakis G A. Neuro-adaptive force\/position control with prescribed performance and guaranteed contact maintenance. IEEE Trans Neural Netw, 2010, 21: 1857\u20131868","journal-title":"IEEE Trans Neural Netw"},{"key":"3434_CR19","doi-asserted-by":"publisher","first-page":"7044","DOI":"10.1109\/TIE.2019.2937037","volume":"67","author":"Y J Liu","year":"2020","unstructured":"Liu Y J, Zeng Q, Tong S, et al. Actuator failure compensation-based adaptive control of active suspension systems with prescribed performance. IEEE Trans Ind Electron, 2020, 67: 7044\u20137053","journal-title":"IEEE Trans Ind Electron"},{"key":"3434_CR20","doi-asserted-by":"publisher","first-page":"578","DOI":"10.1016\/j.sysconle.2007.12.007","volume":"57","author":"X D Ye","year":"2008","unstructured":"Ye X D. Nonlinear adaptive control using multiple identification models. Syst Control Lett, 2008, 57: 578\u2013584","journal-title":"Syst Control Lett"},{"key":"3434_CR21","doi-asserted-by":"publisher","first-page":"78","DOI":"10.1109\/TAC.2011.2152470","volume":"57","author":"Z Han","year":"2012","unstructured":"Han Z, Narendra K S. New concepts in adaptive control using multiple models. IEEE Trans Automat Contr, 2012, 57: 78\u201389","journal-title":"IEEE Trans Automat Contr"},{"key":"3434_CR22","doi-asserted-by":"publisher","first-page":"190","DOI":"10.1016\/j.neucom.2014.01.013","volume":"136","author":"X L Li","year":"2014","unstructured":"Li X L, Jia C, Liu D X, et al. Nonlinear adaptive control using multiple models and dynamic neural networks. Neurocomputing, 2014, 136: 190\u2013200","journal-title":"Neurocomputing"},{"key":"3434_CR23","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1109\/MCS.1995.594467","volume":"15","author":"P J Antsaklis","year":"1995","unstructured":"Antsaklis P J. Intelligent learning control. IEEE Control Syst Mag, 1995, 15: 5\u20137","journal-title":"IEEE Control Syst Mag"},{"key":"3434_CR24","doi-asserted-by":"publisher","first-page":"130","DOI":"10.1109\/TNN.2005.860843","volume":"17","author":"C Wang","year":"2006","unstructured":"Wang C, Hill D J. Learning from neural control. IEEE Trans Neural Netw, 2006, 17: 130\u2013146","journal-title":"IEEE Trans Neural Netw"},{"key":"3434_CR25","volume-title":"Deterministic Learning Theory for Identification, Recognition, and Control","author":"C Wang","year":"2009","unstructured":"Wang C, Hill D J. Deterministic Learning Theory for Identification, Recognition, and Control. Boca Raton: CRC Press, 2009"},{"key":"3434_CR26","doi-asserted-by":"publisher","first-page":"633","DOI":"10.1016\/j.sysconle.2009.04.001","volume":"58","author":"T F Liu","year":"2009","unstructured":"Liu T F, Wang C, Hill D J. Learning from neural control of nonlinear systems in normal form. Syst Control Lett, 2009, 58: 633\u2013638","journal-title":"Syst Control Lett"},{"key":"3434_CR27","doi-asserted-by":"publisher","first-page":"1539","DOI":"10.1109\/TNNLS.2012.2205702","volume":"23","author":"C Wang","year":"2012","unstructured":"Wang C, Wang M, Liu T F, et al. Learning from ISS-modular adaptive NN control of nonlinear strict-feedback systems. IEEE Trans Neural Netw Learn Syst, 2012, 23: 1539\u20131550","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"3434_CR28","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1109\/TNNLS.2013.2257843","volume":"25","author":"S L Dai","year":"2014","unstructured":"Dai S L, Wang C, Wang M. Dynamic learning from adaptive neural network control of a class of nonaffine nonlinear systems. IEEE Trans Neural Netw Learn Syst, 2014, 25: 111\u2013123","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"3434_CR29","doi-asserted-by":"publisher","first-page":"2589","DOI":"10.1007\/s11071-014-1834-y","volume":"79","author":"M Wang","year":"2015","unstructured":"Wang M, Wang C. Neural learning control of pure-feedback nonlinear systems. Nonlinear Dyn, 2015, 79: 2589\u20132608","journal-title":"Nonlinear Dyn"},{"key":"3434_CR30","doi-asserted-by":"publisher","first-page":"1247","DOI":"10.1109\/TNNLS.2014.2335749","volume":"26","author":"M Wang","year":"2015","unstructured":"Wang M, Wang C. Learning from adaptive neural dynamic surface control of strict-feedback systems. IEEE Trans Neural Netw Learn Syst, 2015, 26: 1247\u20131259","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"3434_CR31","doi-asserted-by":"publisher","first-page":"112201","DOI":"10.1007\/s11432-017-9363-y","volume":"61","author":"M Abdelatti","year":"2018","unstructured":"Abdelatti M, Yuan C Z, Zeng W, et al. Cooperative deterministic learning control for a group of homogeneous nonlinear uncertain robot manipulators. Sci China Inf Sci, 2018, 61: 112201","journal-title":"Sci China Inf Sci"},{"key":"3434_CR32","doi-asserted-by":"publisher","first-page":"617","DOI":"10.1109\/TNN.2006.889496","volume":"18","author":"C Wang","year":"2007","unstructured":"Wang C, Hill D J. Deterministic learning and rapid dynamical pattern recognition. IEEE Trans Neural Netw, 2007, 18: 617\u2013630","journal-title":"IEEE Trans Neural Netw"},{"key":"3434_CR33","doi-asserted-by":"publisher","first-page":"1284","DOI":"10.1109\/TNN.2011.2159622","volume":"22","author":"C Wang","year":"2011","unstructured":"Wang C, Chen T R. Rapid detection of small oscillation faults via deterministic learning. IEEE Trans Neural Netw, 2011, 22: 1284\u20131296","journal-title":"IEEE Trans Neural Netw"},{"key":"3434_CR34","doi-asserted-by":"publisher","first-page":"897","DOI":"10.1109\/TCYB.2018.2789360","volume":"49","author":"T R Chen","year":"2019","unstructured":"Chen T R, Wang C, Chen G R, et al. Small fault detection for a class of closed-loop systems via deterministic learning. IEEE Trans Cybern, 2019, 49: 897\u2013906","journal-title":"IEEE Trans Cybern"},{"key":"3434_CR35","doi-asserted-by":"publisher","first-page":"132201","DOI":"10.1007\/s11432-019-2878-y","volume":"64","author":"W M Wu","year":"2021","unstructured":"Wu W M, Wang Q, Yuan C Z, et al. Rapid dynamical pattern recognition for sampling sequences. Sci China Inf Sci, 2021, 64: 132201","journal-title":"Sci China Inf Sci"},{"key":"3434_CR36","doi-asserted-by":"publisher","first-page":"7743","DOI":"10.1109\/TNNLS.2021.3087533","volume":"33","author":"T R Chen","year":"2022","unstructured":"Chen T R, Zhu Z J, Wang C, et al. Rapid sensor fault diagnosis for a class of nonlinear systems via deterministic learning. IEEE Trans Neural Netw Learn Syst, 2022, 33: 7743\u20137754","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"3434_CR37","doi-asserted-by":"publisher","first-page":"1108","DOI":"10.1109\/TNNLS.2017.2655503","volume":"29","author":"F F Yang","year":"2018","unstructured":"Yang F F, Wang C. Pattern-based NN control of a class of uncertain nonlinear systems. IEEE Trans Neural Netw Learn Syst, 2018, 29: 1108\u20131119","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"3434_CR38","doi-asserted-by":"publisher","first-page":"2530","DOI":"10.1016\/j.jfranklin.2019.01.014","volume":"356","author":"F K Zhang","year":"2019","unstructured":"Zhang F K, Wang C, Yang F F. Pattern-based NN control for uncertain pure-feedback nonlinear systems. J Franklin Inst, 2019, 356: 2530\u20132558","journal-title":"J Franklin Inst"},{"key":"3434_CR39","volume-title":"Nonlinear and Adaptive Control Design","author":"M Krstic","year":"1995","unstructured":"Krstic M, Kanellakopoulos I, Kokotovic P V. Nonlinear and Adaptive Control Design. New York: Wiley, 1995"},{"key":"3434_CR40","doi-asserted-by":"publisher","DOI":"10.1093\/oso\/9780198534396.003.0003","volume-title":"The Theory of Radial Basis Functions Approximation in 1990","author":"M J D Powell","year":"1992","unstructured":"Powell M J D, The Theory of Radial Basis Functions Approximation in 1990. Oxford: Oxford University Press, 1992"},{"key":"3434_CR41","doi-asserted-by":"publisher","first-page":"625","DOI":"10.1137\/S0363012992232555","volume":"33","author":"A J Kurdila","year":"1995","unstructured":"Kurdila A J, Narcowich F J, Ward J D. Persistency of excitation in identification using radial basis function approximants. SIAM J Control Optim, 1995, 33: 625\u2013642","journal-title":"SIAM J Control Optim"},{"key":"3434_CR42","doi-asserted-by":"publisher","first-page":"2701","DOI":"10.1002\/rnc.4902","volume":"30","author":"F K Zhang","year":"2020","unstructured":"Zhang F K, Wang C. Deterministic learning from neural control for uncertain nonlinear pure-feedback systems by output feedback. Int J Robust Nonlinear Control, 2020, 30: 2701\u20132718","journal-title":"Int J Robust Nonlinear Control"},{"key":"3434_CR43","doi-asserted-by":"publisher","first-page":"1381","DOI":"10.1080\/00207179008934141","volume":"51","author":"S Behtash","year":"1990","unstructured":"Behtash S. Robust output tracking for non-linear systems. Int J Control, 1990, 51: 1381\u20131407","journal-title":"Int J Control"},{"key":"3434_CR44","volume-title":"Mathematical Analysis","author":"T M Apostol","year":"1993","unstructured":"Apostol T M. Mathematical Analysis. Boston: Addison-Wesley, 1993"},{"key":"3434_CR45","doi-asserted-by":"publisher","first-page":"1008","DOI":"10.1109\/72.712182","volume":"9","author":"J A Farrell","year":"1998","unstructured":"Farrell J A. Stability and approximator convergence in nonparametric nonlinear adaptive control. IEEE Trans Neural Netw, 1998, 9: 1008\u20131020","journal-title":"IEEE Trans Neural Netw"},{"key":"3434_CR46","volume-title":"Nonlinear Systems","author":"H Khalil","year":"2002","unstructured":"Khalil H. Nonlinear Systems. 3rd ed. Upper Saddle River: Prentice-Hall, 2002","edition":"3rd ed."}],"container-title":["Science China Information Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-021-3434-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11432-021-3434-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-021-3434-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,19]],"date-time":"2024-02-19T22:08:00Z","timestamp":1708380480000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11432-021-3434-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,12,26]]},"references-count":46,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2023,1]]}},"alternative-id":["3434"],"URL":"https:\/\/doi.org\/10.1007\/s11432-021-3434-9","relation":{},"ISSN":["1674-733X","1869-1919"],"issn-type":[{"value":"1674-733X","type":"print"},{"value":"1869-1919","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,12,26]]},"assertion":[{"value":"8 June 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 November 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 January 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 December 2022","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"112202"}}