{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T20:54:10Z","timestamp":1773953650514,"version":"3.50.1"},"reference-count":60,"publisher":"Springer Science and Business Media LLC","issue":"16","license":[{"start":{"date-parts":[[2021,3,12]],"date-time":"2021-03-12T00:00:00Z","timestamp":1615507200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,3,12]],"date-time":"2021-03-12T00:00:00Z","timestamp":1615507200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["51775103"],"award-info":[{"award-number":["51775103"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61773068"],"award-info":[{"award-number":["61773068"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100011133","name":"State Key Lab of Digital Manufacturing Equipment and Technology","doi-asserted-by":"crossref","award":["DMETKF2020015"],"award-info":[{"award-number":["DMETKF2020015"]}],"id":[{"id":"10.13039\/501100011133","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2021,8]]},"DOI":"10.1007\/s00521-021-05801-5","type":"journal-article","created":{"date-parts":[[2021,3,12]],"date-time":"2021-03-12T20:14:24Z","timestamp":1615580064000},"page":"10429-10448","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["Observer-based interval type-2 fuzzy friction modeling and compensation control for steer-by-wire system"],"prefix":"10.1007","volume":"33","author":[{"given":"Gang","family":"Luo","sequence":"first","affiliation":[]},{"given":"Zezheng","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Bingxin","family":"Ma","sequence":"additional","affiliation":[]},{"given":"Yongfu","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Jianfeng","family":"Xu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,3,12]]},"reference":[{"key":"5801_CR1","doi-asserted-by":"crossref","first-page":"14483","DOI":"10.1007\/s00521-020-04965-w","volume":"32","author":"R Chuei","year":"2020","unstructured":"Chuei R, Cao Z (2020) Extreme learning machine-based super-twisting repetitive control for aperiodic disturbance, parameter uncertainty, friction, and backlash compensations of a brushless DC servo motor. Neural Comput Appl 32:14483\u201314495","journal-title":"Neural Comput Appl"},{"key":"5801_CR2","doi-asserted-by":"crossref","first-page":"658","DOI":"10.1016\/j.ymssp.2018.12.050","volume":"122","author":"Z Sun","year":"2019","unstructured":"Sun Z, Zheng JC, Man ZH, Fu MY, Lu RQ (2019) Nested adaptive super-twisting sliding mode control design for a vehicle steer-by-wire system. Mech Syst Signal Process 122:658\u2013672","journal-title":"Mech Syst Signal Process"},{"issue":"9","key":"5801_CR3","doi-asserted-by":"crossref","first-page":"5774","DOI":"10.1109\/TIE.2016.2573239","volume":"63","author":"H Wang","year":"2016","unstructured":"Wang H, Man ZH, Kong HF, Zhao Y, Yu M, Cao ZW, Zheng JC, Do MT (2016) Design and implementation of adaptive terminal sliding-mode control on a steer-by-wire equipped road vehicle. IEEE Trans Ind Electr 63(9):5774\u20135785","journal-title":"IEEE Trans Ind Electr"},{"issue":"12","key":"5801_CR4","doi-asserted-by":"crossref","first-page":"1675","DOI":"10.2514\/3.61511","volume":"14","author":"PR Dahl","year":"1976","unstructured":"Dahl PR (1976) Solid friction damping of mechanical vibrations. AIAA J 14(12):1675\u20131682","journal-title":"AIAA J"},{"key":"5801_CR5","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1109\/9.376053","volume":"40","author":"CCD Wit","year":"1995","unstructured":"Wit CCD, Olsson H, Astrom KJ, Lischinsky P (1995) A new model for control of systems with friction. IEEE Trans Autom Control 40:419\u2013425","journal-title":"IEEE Trans Autom Control"},{"issue":"4","key":"5801_CR6","doi-asserted-by":"crossref","first-page":"683","DOI":"10.1109\/9.995050","volume":"47","author":"V Lampaert","year":"2002","unstructured":"Lampaert V, Swevers J, Al-Bender F (2002) Modification of the leuven integrated friction model structure. IEEE Trans Automatic Control 47(4):683\u2013687","journal-title":"IEEE Trans Automatic Control"},{"issue":"11","key":"5801_CR7","doi-asserted-by":"crossref","first-page":"1883","DOI":"10.1109\/TAC.2005.858676","volume":"50","author":"F Al-Bender","year":"2005","unstructured":"Al-Bender F, Lampaert V, Swevers J (2005) The generalized maxwell-slip model: a novel model for friction simulation and compensation. IEEE Trans Automatic Control 50(11):1883\u20131887","journal-title":"IEEE Trans Automatic Control"},{"issue":"10","key":"5801_CR8","doi-asserted-by":"crossref","first-page":"3848","DOI":"10.1109\/TIE.2009.2017560","volume":"56","author":"Z Jamaludin","year":"2009","unstructured":"Jamaludin Z, Brussel HV, Swevers J (2009) Friction compensation of an $$xy$$ feed table using friction-model-based feedforward and an inverse-model-based disturbance observer. IEEE Trans Ind Electr 56(10):3848\u20133853","journal-title":"IEEE Trans Ind Electr"},{"issue":"2","key":"5801_CR9","doi-asserted-by":"crossref","first-page":"1123","DOI":"10.1109\/TIE.2013.2242420","volume":"61","author":"Y Maeda","year":"2014","unstructured":"Maeda Y, Iwasaki M (2014) Mode switching feedback compensation considering rolling friction characteristics for fast and precise positioning. IEEE Trans Ind Electr 61(2):1123\u20131132","journal-title":"IEEE Trans Ind Electr"},{"issue":"1","key":"5801_CR10","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1109\/TCST.2008.2010501","volume":"18","author":"L Freidovich","year":"2010","unstructured":"Freidovich L, Robertsson A, Shiriaev A, Johansson R (2010) Lugre-model-based friction compensation. IEEE Trans Control Syst Technol 18(1):194\u2013200","journal-title":"IEEE Trans Control Syst Technol"},{"issue":"10","key":"5801_CR11","doi-asserted-by":"crossref","first-page":"6469","DOI":"10.1109\/TIE.2015.2423660","volume":"62","author":"JY Yao","year":"2015","unstructured":"Yao JY, Deng WX, Jiao ZX (2015) Adaptive control of hydraulic actuators with lugre model-based friction compensation. IEEE Trans Ind Electr 62(10):6469\u20136477","journal-title":"IEEE Trans Ind Electr"},{"key":"5801_CR12","doi-asserted-by":"crossref","first-page":"011021","DOI":"10.1115\/1.4004785","volume":"34","author":"XJ Wang","year":"2012","unstructured":"Wang XJ, Wang SP (2012) High performance adaptive control of mechanical servo system with lugre friction model: Identification and compensation. J Dyn Syst Meas Control 34:011021","journal-title":"J Dyn Syst Meas Control"},{"key":"5801_CR13","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1016\/j.conengprac.2016.09.011","volume":"58","author":"MC Hidalgo","year":"2017","unstructured":"Hidalgo MC, Garcia C (2017) Friction compensation in control valves: nonlinear control and usual approaches. Control Eng Practice 58:42\u201353","journal-title":"Control Eng Practice"},{"issue":"13","key":"5801_CR14","doi-asserted-by":"crossref","first-page":"3021","DOI":"10.1016\/j.jfranklin.2016.06.003","volume":"353","author":"MR Sobczyk","year":"2016","unstructured":"Sobczyk MR, Gervini VI, Perondi EA, Cunha MAB (2016) A continuous version of the LuGre friction model applied to the adaptive control of a pneumatic servo system. J Franklin Instit 353(13):3021\u20133039","journal-title":"J Franklin Instit"},{"key":"5801_CR15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.mechatronics.2017.02.005","volume":"43","author":"SE Lyshevski","year":"2017","unstructured":"Lyshevski SE (2017) Control of high-precision direct-drive mechatronic servos: tracking control with adaptive friction estimation and compensation. Mechatronics 43:1\u20135","journal-title":"Mechatronics"},{"key":"5801_CR16","doi-asserted-by":"crossref","first-page":"5833","DOI":"10.1007\/s00521-019-04056-5","volume":"32","author":"V Tarasov","year":"2020","unstructured":"Tarasov V, Tan H, Jarfors AEW, Seifeddine S (2020) Fuzzy logic-based modelling of yield strength of as-cast A356 alloy. Neural Comput Appl 32:5833\u20135844","journal-title":"Neural Comput Appl"},{"key":"5801_CR17","doi-asserted-by":"crossref","first-page":"6331","DOI":"10.1007\/s00521-018-3456-7","volume":"31","author":"MJ Khan","year":"2019","unstructured":"Khan MJ, Mathew L (2019) Fuzzy logic controller-based MPPT for hybrid photo-voltaic\/wind\/fuel cell power system. Neural Comput Appl 31:6331\u20136344","journal-title":"Neural Comput Appl"},{"key":"5801_CR18","doi-asserted-by":"crossref","first-page":"1435","DOI":"10.1007\/s00521-020-05027-x","volume":"33","author":"AK Mishra","year":"2021","unstructured":"Mishra AK, Ray PK, Mallick RK, Mohanty A, Soumya RD (2021) Adaptive fuzzy controlled hybrid shunt active power filter for power quality enhancement. Neural Comput Appl 33:1435\u20131452","journal-title":"Neural Comput Appl"},{"key":"5801_CR19","doi-asserted-by":"crossref","first-page":"682","DOI":"10.1109\/TFUZZ.2011.2134104","volume":"19","author":"YF Wang","year":"2011","unstructured":"Wang YF, Wang DH, Chai TY (2011) Extraction and adaptation of fuzzy rules for friction modeling and control compensation. IEEE Trans Fuzzy Syst 19:682\u2013693","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"5801_CR20","doi-asserted-by":"crossref","unstructured":"Alavudeen Basha A, Vivekanandan S (2020) A fuzzy-based adaptive multi-input-output scheme in lieu of diabetic and hypertension management for post-operative patients: an human-machine interface approach with its continuum. Neural Comp Appl","DOI":"10.1007\/s00521-020-04975-8"},{"issue":"8","key":"5801_CR21","doi-asserted-by":"crossref","first-page":"2445","DOI":"10.1016\/j.ymssp.2009.05.006","volume":"23","author":"YF Wang","year":"2009","unstructured":"Wang YF, Wang DH, Chai TY (2009) Modeling and control compensation of nonlinear friction using adaptive fuzzy systems. Mech Syst Signal Process 23(8):2445\u20132457","journal-title":"Mech Syst Signal Process"},{"issue":"2","key":"5801_CR22","doi-asserted-by":"crossref","first-page":"1123","DOI":"10.1109\/TIE.2011.2148678","volume":"59","author":"H Chaoui","year":"2012","unstructured":"Chaoui H, Sicard P (2012) Adaptive fuzzy logic control of permanent magnet synchronous machines with nonlinear friction. IEEE Trans Ind Electr 59(2):1123\u20131133","journal-title":"IEEE Trans Ind Electr"},{"issue":"3","key":"5801_CR23","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1109\/TFUZZ.2013.2269694","volume":"22","author":"YN Yang","year":"2014","unstructured":"Yang YN, Hua CC, Guan XP (2014) Adaptive fuzzy finite-time coordination control for networked nonlinear bilateral teleoperation system. IEEE Trans Fuzzy Syst 22(3):631\u2013641","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"5","key":"5801_CR24","doi-asserted-by":"crossref","first-page":"3707","DOI":"10.1109\/TIE.2017.2652343","volume":"64","author":"GL Zhong","year":"2017","unstructured":"Zhong GL, Shao ZZ, Deng H, Ren JL (2017) Precise position synchronous control for multi-axis servo systems. IEEE Trans Ind Electr 64(5):3707\u20133717","journal-title":"IEEE Trans Ind Electr"},{"key":"5801_CR25","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2019.2927309","author":"XL Tao","year":"2019","unstructured":"Tao XL, Yi JQ, Pu ZQ, Xiong TY (2019) Robust adaptive tracking control for hypersonic vehicle based on interval type-2 fuzzy logic system and small-gain approach. IEEE Trans Cybern. https:\/\/doi.org\/10.1109\/TCYB.2019.2927309","journal-title":"IEEE Trans Cybern"},{"issue":"5","key":"5801_CR26","doi-asserted-by":"crossref","first-page":"1162","DOI":"10.1109\/TFUZZ.2013.2286414","volume":"22","author":"JM Mendel","year":"2014","unstructured":"Mendel JM (2014) General type-2 fuzzy logic systems made simple: a tutorial. IEEE Trans Fuzzy Systems 22(5):1162\u20131182","journal-title":"IEEE Trans Fuzzy Systems"},{"issue":"6","key":"5801_CR27","doi-asserted-by":"crossref","first-page":"808","DOI":"10.1109\/TFUZZ.2006.879986","volume":"14","author":"JM Mendel","year":"2006","unstructured":"Mendel JM, John RI, Liu F (2006) Interval type-2 fuzzy logic systems made simple. IEEE Trans Fuzzy Syst 14(6):808\u2013821","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"5801_CR28","doi-asserted-by":"crossref","first-page":"3367","DOI":"10.1007\/s00521-019-04184-y","volume":"32","author":"Y Dorfeshan","year":"2020","unstructured":"Dorfeshan Y, Mousavi SM (2020) A novel interval type-2 fuzzy decision model based on two new versions of relative preference relation-based MABAC and WASPAS methods (with an application in aircraft maintenance planning). Neural Comput Appl 32:3367\u20133385","journal-title":"Neural Comput Appl"},{"key":"5801_CR29","doi-asserted-by":"crossref","first-page":"2217","DOI":"10.1007\/s00521-018-3755-z","volume":"32","author":"C Lin","year":"2020","unstructured":"Lin C, La V, Le T (2020) DC-DC converters design using a type-2 wavelet fuzzy cerebellar model articulation controller. Neural Comput Appl 32:2217\u20132229","journal-title":"Neural Comput Appl"},{"issue":"6","key":"5801_CR30","doi-asserted-by":"crossref","first-page":"5069","DOI":"10.1109\/TIE.2017.2767546","volume":"65","author":"A Sarabakha","year":"2018","unstructured":"Sarabakha A, Fu CH, Kayacan E, Kumbasar T (2018) Type-2 fuzzy logic controllers made even simpler: From design to deployment for uavs. IEEE Trans Ind Electr 65(6):5069\u20135077","journal-title":"IEEE Trans Ind Electr"},{"issue":"5","key":"5801_CR31","doi-asserted-by":"crossref","first-page":"1803","DOI":"10.1109\/TFUZZ.2014.2379284","volume":"23","author":"TC Wang","year":"2015","unstructured":"Wang TC, Tong SC, Yi JQ, Li HY (2015) Adaptive inverse control of cable-driven parallel system based on type-2 fuzzy logic systems. IEEE Trans Fuzzy Syst 23(5):1803\u20131816","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"2","key":"5801_CR32","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1109\/TFUZZ.2016.2578341","volume":"25","author":"M Antonelli","year":"2017","unstructured":"Antonelli M, Bernardo D, Hagras H, Marcelloni F (2017) Multiobjective evolutionary optimization of type-2 fuzzy rule-based systems for financial data classification. IEEE Trans Fuzzy Syst 25(2):249\u2013264","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"3","key":"5801_CR33","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1109\/TFUZZ.2014.2321771","volume":"23","author":"CJ Kim","year":"2015","unstructured":"Kim CJ, Chwa D (2015) Obstacle avoidance method for wheeled mobile robots using interval type-2 fuzzy neural network. IEEE Trans Fuzzy Syst 23(3):677\u2013687","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"5801_CR34","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1016\/j.asoc.2019.03.027","volume":"80","author":"MHF Zarandi","year":"2019","unstructured":"Zarandi MHF, Soltanzadeh S, Mohammadi A, Castillo O (2019) Designing a general type-2 fuzzy expert system for diagnosis of depression. Appl Soft Comput 80:329\u2013341","journal-title":"Appl Soft Comput"},{"issue":"9","key":"5801_CR35","doi-asserted-by":"crossref","first-page":"3009","DOI":"10.1109\/TITS.2017.2762085","volume":"19","author":"YR Bi","year":"2018","unstructured":"Bi YR, Lu XB, Sun Z, Srinivasan D, Sun ZX (2018) Optimal type-2 fuzzy system for arterial traffic signal control. IEEE Trans Intell Transp Syst 19(9):3009\u20133027","journal-title":"IEEE Trans Intell Transp Syst"},{"key":"5801_CR36","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1016\/j.asoc.2019.02.032","volume":"78","author":"C Luo","year":"2019","unstructured":"Luo C, Tan C, Wang XY, Zheng YJ (2019) An evolving recurrent interval type-2 intuitionistic fuzzy neural network for online learning and time series prediction. Appl Soft Comput 78:150\u2013163","journal-title":"Appl Soft Comput"},{"key":"5801_CR37","doi-asserted-by":"crossref","first-page":"35544","DOI":"10.1109\/ACCESS.2019.2904630","volume":"7","author":"Y Wang","year":"2019","unstructured":"Wang Y, Luo C (2019) Online evolving interval type-2 intuitionistic fuzzy lstm-neural networks for regression problems. IEEE Access 7:35544\u201335555","journal-title":"IEEE Access"},{"key":"5801_CR38","doi-asserted-by":"crossref","first-page":"8725","DOI":"10.1007\/s00521-019-04366-8","volume":"32","author":"T Le","year":"2020","unstructured":"Le T, Huynh T, Lin C (2020) Adaptive filter design for active noise cancellation using recurrent type-2 fuzzy brain emotional learning neural network. Neural Comput Appl 32:8725\u20138734","journal-title":"Neural Comput Appl"},{"issue":"9","key":"5801_CR39","doi-asserted-by":"crossref","first-page":"2473","DOI":"10.1109\/TAC.2015.2501358","volume":"61","author":"L Magnis","year":"2016","unstructured":"Magnis L, Petit N (2016) Angular velocity nonlinear observer from single vector measurements. IEEE Trans Autom Control 61(9):2473\u20132483","journal-title":"IEEE Trans Autom Control"},{"issue":"3","key":"5801_CR40","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1016\/S0005-1098(97)00209-4","volume":"34","author":"A Levant","year":"1998","unstructured":"Levant A (1998) Robust exact differentiation via sliding mode technique. Automatica 34(3):379\u2013384","journal-title":"Automatica"},{"issue":"4","key":"5801_CR41","doi-asserted-by":"crossref","first-page":"2003","DOI":"10.1109\/TII.2014.2338273","volume":"10","author":"H Wang","year":"2014","unstructured":"Wang H, Man Z, Shen W, Cao Z, Zheng J, Jin J, Tuan DM (2014) Robust control for steer-by-wire systems with partially known dynamics. IEEE Trans Ind Inf 10(4):2003\u20132015","journal-title":"IEEE Trans Ind Inf"},{"key":"5801_CR42","doi-asserted-by":"crossref","first-page":"1785","DOI":"10.1109\/TAC.2005.858636","volume":"50","author":"J Davila","year":"2005","unstructured":"Davila J, Fridman L, Levant A (2005) Second-order sliding-mode observer for mechanical systems. IEEE Trans Autom Control 50:1785\u20131789","journal-title":"IEEE Trans Autom Control"},{"key":"5801_CR43","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/j.fss.2004.07.007","volume":"151","author":"JH Parka","year":"2005","unstructured":"Parka JH, Parkb GT, Kima SH, Moon CJ (2005) Output-feedback control of uncertain nonlinear systems using a self-structuring adaptive fuzzy observer. Fuzzy Sets Syst 151:21\u201342","journal-title":"Fuzzy Sets Syst"},{"issue":"6","key":"5801_CR44","doi-asserted-by":"crossref","first-page":"5483","DOI":"10.1109\/TVT.2019.2910540","volume":"68","author":"X Wu","year":"2019","unstructured":"Wu X, Zhang M, Xu M (2019) Active tracking control for steer-by-wire system with disturbance observer. IEEE Trans Veh Technol 68(6):5483\u20135493","journal-title":"IEEE Trans Veh Technol"},{"issue":"2","key":"5801_CR45","doi-asserted-by":"crossref","first-page":"580","DOI":"10.1109\/TVT.2013.2280459","volume":"63","author":"MT Do","year":"2014","unstructured":"Do MT, Man ZH, Zhang CS, Wang H, Tay FS (2014) Robust sliding mode-based learning control for steer-by-wire systems in modern vehicles. IEEE Trans Veh Technol 63(2):580\u2013590","journal-title":"IEEE Trans Veh Technol"},{"key":"5801_CR46","doi-asserted-by":"crossref","first-page":"5109","DOI":"10.1007\/s00521-018-04002-x","volume":"31","author":"A Eshghi","year":"2019","unstructured":"Eshghi A, Mousavi SM, Mohagheghi V (2019) A new interval type-2 fuzzy approach for analyzing and monitoring the performance of megaprojects based on earned value analysis (with a case study). Neural Comput Appl 31:5109\u20135133","journal-title":"Neural Comput Appl"},{"key":"5801_CR47","doi-asserted-by":"crossref","first-page":"3543","DOI":"10.1007\/s00521-017-3275-2","volume":"31","author":"V Mohagheghi","year":"2019","unstructured":"Mohagheghi V, Mousavi SM (2019) An analysis approach to handle uncertain multi-criteria group decision problems in the framework of interval type-2 fuzzy sets theory. Neural Comput Appl 31:3543\u20133557","journal-title":"Neural Comput Appl"},{"key":"5801_CR48","doi-asserted-by":"crossref","first-page":"4095","DOI":"10.1007\/s00521-017-3304-1","volume":"31","author":"L Abdullah","year":"2019","unstructured":"Abdullah L, Zulkifli N (2019) A new DEMATEL method based on interval type-2 fuzzy sets for developing causal relationship of knowledge management criteria. Neural Comput Appl 31:4095\u20134111","journal-title":"Neural Comput Appl"},{"key":"5801_CR49","doi-asserted-by":"crossref","first-page":"605","DOI":"10.1007\/s00521-017-3093-6","volume":"31","author":"S Samanta","year":"2019","unstructured":"Samanta S, Jana DK (2019) A multi-item transportation problem with mode of transportation preference by MCDM method in interval type-2 fuzzy environment. Neural Comput Appl 31:605\u2013617","journal-title":"Neural Comput Appl"},{"issue":"2","key":"5801_CR50","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1162\/neco.1989.1.2.281","volume":"1","author":"J Moody","year":"1989","unstructured":"Moody J, Darken CJ (1989) Fast learning in networks of locally-tuned processing units. Neural Comput 1(2):281\u2013294","journal-title":"Neural Comput"},{"key":"5801_CR51","first-page":"1334","volume":"2","author":"AE Gaweda","year":"2001","unstructured":"Gaweda AE, Zurada JM (2001) Equivalence between neural networks and fuzzy systems. Int Joint Conf Neural Netw Washington USA 2:1334\u20131339","journal-title":"Int Joint Conf Neural Netw Washington USA"},{"issue":"1","key":"5801_CR52","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1109\/72.182710","volume":"4","author":"JSR Jang","year":"1993","unstructured":"Jang JSR, Sun CT (1993) Functional equivalence between radial basis function networks and fuzzy inference systems. IEEE Trans Neural Netw 4(1):156\u2013159","journal-title":"IEEE Trans Neural Netw"},{"issue":"2","key":"5801_CR53","doi-asserted-by":"crossref","first-page":"356","DOI":"10.1109\/72.839006","volume":"11","author":"HX Li","year":"2000","unstructured":"Li HX, Chen CLP (2000) The equivalence between fuzzy logic systems and feedforward neural networks. IEEE Trans Neural Netw 11(2):356\u2013365","journal-title":"IEEE Trans Neural Netw"},{"issue":"2","key":"5801_CR54","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1109\/TFUZZ.2018.2858740","volume":"27","author":"A Rubio-Solis","year":"2019","unstructured":"Rubio-Solis A, Melin P, Martinez-Hernandez U, Panoutsos G (2019) General type-2 radial basis function neural network: a data-driven fuzzy model. IEEE Trans Fuzzy Syst 27(2):333\u2013347","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"3","key":"5801_CR55","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1016\/j.fss.2003.11.017","volume":"148","author":"SC Tong","year":"2004","unstructured":"Tong SC, Li HX, Wang W (2004) Observer-based adaptive fuzzy control for SISO nonlinear systems. Fuzzy Sets Syst 148(3):355\u2013376","journal-title":"Fuzzy Sets Syst"},{"key":"5801_CR56","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.fss.2014.05.015","volume":"263","author":"WX Shi","year":"2015","unstructured":"Shi WX (2015) Observer-based fuzzy adaptive control for multi-input multi-output nonlinear systems with a nonsymmetric control gain matrix and unknown control direction. Fuzzy Sets Syst 263:1\u201326","journal-title":"Fuzzy Sets Syst"},{"key":"5801_CR57","doi-asserted-by":"crossref","first-page":"1598","DOI":"10.1016\/j.neucom.2015.08.004","volume":"171","author":"WX Shi","year":"2016","unstructured":"Shi WX (2016) Observer-based indirect adaptive fuzzy control for SISO nonlinear systems with unknown gain sign. Neurocomputing 171:1598\u20131605","journal-title":"Neurocomputing"},{"key":"5801_CR58","volume-title":"Applied nonlinear control","author":"J Slotine","year":"1991","unstructured":"Slotine J, Li W (1991) Applied nonlinear control. Prentice hall, New Jersey"},{"issue":"5","key":"5801_CR59","doi-asserted-by":"crossref","first-page":"698","DOI":"10.1109\/9.580878","volume":"42","author":"G Tao","year":"1997","unstructured":"Tao G (1997) A simple alternative to the Barbalat lemma. IEEE Trans Autom Control 42(5):698\u2013698","journal-title":"IEEE Trans Autom Control"},{"issue":"7","key":"5801_CR60","doi-asserted-by":"crossref","first-page":"1448","DOI":"10.1109\/TSMC.2017.2782246","volume":"49","author":"M Van","year":"2019","unstructured":"Van M, Mavrovouniotis M, Ge SS (2019) An adaptive backstepping nonsingular fast terminal sliding mode control for robust fault tolerant control of robot manipulators. IEEE Trans Syst Man Cybern Syst 49(7):1448\u20131458","journal-title":"IEEE Trans Syst Man Cybern Syst"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-021-05801-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00521-021-05801-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-021-05801-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,8]],"date-time":"2021-07-08T07:40:43Z","timestamp":1625730043000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00521-021-05801-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,3,12]]},"references-count":60,"journal-issue":{"issue":"16","published-print":{"date-parts":[[2021,8]]}},"alternative-id":["5801"],"URL":"https:\/\/doi.org\/10.1007\/s00521-021-05801-5","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,3,12]]},"assertion":[{"value":"17 June 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 February 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 March 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declared that they have no conflicts of interest to this work. We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}