{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T08:12:25Z","timestamp":1778832745422,"version":"3.51.4"},"reference-count":32,"publisher":"SAGE Publications","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2024,1,10]]},"abstract":"<jats:p>In this paper, the robust stability of nonlinear system with unknown perturbation is considered combining operator-based right coprime factorization and fuzzy control method from the input-output view of point. In detail, fuzzy logic system is firstly combined with operator-based right coprime factorization method to study the uncertain nonlinear system. By using the operator-based fuzzy controller, the unknown perturbation is formulated, and a sufficient condition of guaranteeing robust stability is given by systematic calculation, which reduces difficulties in designing controller and calculating inverse of Bezout identity. Implications of the results related to former results are briefly compared and discussed. Finally, a simulation example is shown to confirm effectiveness of the proposed design scheme of this paper.<\/jats:p>","DOI":"10.3233\/jifs-231879","type":"journal-article","created":{"date-parts":[[2023,10,31]],"date-time":"2023-10-31T13:07:01Z","timestamp":1698757621000},"page":"199-207","source":"Crossref","is-referenced-by-count":1,"title":["Operator-based adaptive robust control for uncertain nonlinear systems by combining coprime factorization and fuzzy control method1"],"prefix":"10.1177","volume":"46","author":[{"given":"Mengyang","family":"Li","sequence":"first","affiliation":[{"name":"Luoyang Normal University, Luoyang, Henan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nan","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Information Engineering, Henan University of Science and Technology, Luoyang, Henan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhumu","family":"Fu","sequence":"additional","affiliation":[{"name":"College of Information Engineering, Henan University of Science and Technology, Luoyang, Henan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fazhan","family":"Tao","sequence":"additional","affiliation":[{"name":"Research Institute of Intelligent System Science, Longmen Laboratory, Luoyang, Henan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tao","family":"Zhou","sequence":"additional","affiliation":[{"name":"Luoyang Normal University, Luoyang, Henan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"issue":"12","key":"10.3233\/JIFS-231879_ref1","first-page":"7004","article-title":"Composite hierarchical anti-disturbance control for magnetic bearing system subject to multiple external disturbances","volume":"61","author":"Zheng","year":"2014","journal-title":"IEEE Journals & Magazines"},{"issue":"6","key":"10.3233\/JIFS-231879_ref2","doi-asserted-by":"crossref","first-page":"5426","DOI":"10.1109\/TPEL.2017.2736023","article-title":"Robust stability analysis of a DC\/DC buck converter under multiple parametric uncertainties","volume":"33","author":"Sumsurooah","year":"2018","journal-title":"IEEE Transactions on Power Electronics"},{"key":"10.3233\/JIFS-231879_ref3","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1016\/j.ymssp.2018.11.001","article-title":"Disturbance observer-based adaptive fault-tolerant control for a quadrotor helicopter subject to parametric uncertainties and external disturbances","volume":"120","author":"Wang","year":"2019","journal-title":"echanical Systems and Signal Processing"},{"issue":"2","key":"10.3233\/JIFS-231879_ref4","doi-asserted-by":"crossref","first-page":"769","DOI":"10.1109\/TMECH.2018.2799326","article-title":"robust speed regulation for PMSM servo system with multiple sources of disturbances via an augmented disturbance observer","volume":"23","author":"Yan","year":"2018","journal-title":"IEEE\/ASME Transactions on Mechatronics"},{"issue":"6","key":"10.3233\/JIFS-231879_ref5","doi-asserted-by":"crossref","first-page":"4513","DOI":"10.1109\/TIE.2018.2860533","article-title":"Finite-time convergent control of electro-hydraulic velocity servo system under uncertain parameter and external load","volume":"66","author":"Guo","year":"2019","journal-title":"IEEE Transactions on Industrial Electronics"},{"issue":"2","key":"10.3233\/JIFS-231879_ref6","first-page":"342","article-title":"Reliable fuzzy control for active suspension systems with actuator delay and fault","volume":"20","author":"Li","year":"2012","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"2","key":"10.3233\/JIFS-231879_ref7","doi-asserted-by":"crossref","first-page":"1052","DOI":"10.1109\/TFUZZ.2017.2687405","article-title":"Adaptive output fuzzy fault accommodation for a class of uncertain nonlinear systems with multiple time delays","volume":"20","author":"Wu","year":"2018","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"6","key":"10.3233\/JIFS-231879_ref8","doi-asserted-by":"crossref","first-page":"1275","DOI":"10.1080\/00207721.2023.2169845","article-title":"Event-triggered adaptive decentralised control of interconnected nonlinear systems with Bouc-Wen hysteresis input","volume":"54","author":"Cheng","year":"2023","journal-title":"International Journal of Systems Science"},{"issue":"4","key":"10.3233\/JIFS-231879_ref9","doi-asserted-by":"crossref","first-page":"1025","DOI":"10.1109\/TFUZZ.2021.3052095","article-title":"Adaptive fuzzy event-triggered command-filtered control for nonlinear time-delay systems","volume":"30","author":"Li","year":"2022","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"1","key":"10.3233\/JIFS-231879_ref10","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1109\/TFUZZ.2022.3184048","article-title":"Nonsingular fixed-time fault-tolerant fuzzy control for switched uncertain nonlinear systems","volume":"31","author":"Cui","year":"2023","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"4","key":"10.3233\/JIFS-231879_ref11","doi-asserted-by":"crossref","first-page":"919","DOI":"10.1002\/rnc.4415","article-title":"Finite-time adaptive robust control of nonlinear time-delay uncertain systems with disturbance","volume":"29","author":"Yang","year":"2019","journal-title":"International Journal of Robust Nonlinear Control"},{"issue":"7","key":"10.3233\/JIFS-231879_ref12","doi-asserted-by":"crossref","first-page":"4400","DOI":"10.1109\/TIE.2016.2532284","article-title":"Velocity-free fault-tolerant and uncertainty attenuation control for a class of nonlinear systems","volume":"63","author":"Xiao","year":"2016","journal-title":"IEEE Transactions on Industrial Electronics"},{"issue":"2","key":"10.3233\/JIFS-231879_ref13","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1049\/iet-cta.2015.0430","article-title":"Disturbance-observer-based-control and L2 \u2013L\u221e resilient control for Markovian jump nonlinear systems with multiple disturbances and its application to single robot arm system","volume":"10","author":"Li","year":"2016","journal-title":"IET Control Theory & Applications"},{"issue":"10","key":"10.3233\/JIFS-231879_ref14","doi-asserted-by":"crossref","first-page":"1505","DOI":"10.1109\/9.720519","article-title":"Robust right factorization and robust stabilization of nonlinear feedback control systems","volume":"43","author":"Chen","year":"1998","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"8","key":"10.3233\/JIFS-231879_ref15","doi-asserted-by":"crossref","first-page":"1395","DOI":"10.1109\/TAC.2014.2304397","article-title":"Lyapunov-based small-gain Theorems for hybrid systems","volume":"48","author":"Liberzon","year":"2014","journal-title":"IEEE Transactions on Automatic Control"},{"key":"10.3233\/JIFS-231879_ref16","doi-asserted-by":"crossref","first-page":"712","DOI":"10.1016\/j.automatica.2012.02.007","article-title":"Stabilization of linear systems with distributed input delay and input saturation","volume":"48","author":"Zhou","year":"2012","journal-title":"Automatica"},{"issue":"4","key":"10.3233\/JIFS-231879_ref17","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1109\/TAC.2006.872758","article-title":"Operator-based non-linear feedback control design using robust right coprime factorization","volume":"51","author":"Deng","year":"2006","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"17","key":"10.3233\/JIFS-231879_ref18","doi-asserted-by":"crossref","first-page":"3107","DOI":"10.1049\/iet-cta.2017.0291","article-title":"Robust output-feedback finite-time regulator of systems with mismatched uncertainties bounded by positive functions","volume":"11","author":"Shi","year":"2017","journal-title":"IET Control Theory & Applications"},{"key":"10.3233\/JIFS-231879_ref19","doi-asserted-by":"crossref","first-page":"256","DOI":"10.1016\/j.ins.2023.02.058","article-title":"Adaptive neural self-triggered bipartite secure control for nonlinear MASs subject to DoS attacks","volume":"631","author":"Cheng","year":"2023","journal-title":"Information Sciences"},{"issue":"6","key":"10.3233\/JIFS-231879_ref20","doi-asserted-by":"crossref","first-page":"1426","DOI":"10.1109\/TFUZZ.2016.2516587","article-title":"Adaptive fuzzy output feed-back control for switched nonstrict-feedback nonlinear systems with input nonlinearities","volume":"24","author":"Tong","year":"2016","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"3","key":"10.3233\/JIFS-231879_ref21","doi-asserted-by":"crossref","first-page":"1589","DOI":"10.1109\/TFUZZ.2017.2735944","article-title":"Observer-based fuzzy adaptive eventtriggered control co-design for a class of uncertain nonlinear systems","volume":"26","author":"Li","year":"2018","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"10.3233\/JIFS-231879_ref22","doi-asserted-by":"crossref","first-page":"8163","DOI":"10.1002\/rnc.6269","article-title":"Observer-based adaptive fuzzy hierarchical sliding mode control of uncertain under-actuated switched nonlinear systems with input quantization","volume":"32","author":"Zhang","year":"2022","journal-title":"International Journal Robust Nonlinear Control"},{"key":"10.3233\/JIFS-231879_ref23","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-022-01384-y"},{"issue":"2","key":"10.3233\/JIFS-231879_ref24","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1109\/JAS.2016.7510175","article-title":"Operator-based robust nonlinear control for SISO and MIMO nonlinear systems with PI hysteresis","volume":"5","author":"Bi","year":"2018","journal-title":"IEEE\/CAA Journal of Automatica Sinica"},{"issue":"14","key":"10.3233\/JIFS-231879_ref25","doi-asserted-by":"crossref","first-page":"6810","DOI":"10.1002\/rnc.5645","article-title":"Robust passive tracking control for an uncertain soft actuator using robust right coprime factorization","volume":"31","author":"Bu","year":"2021","journal-title":"International Journal of Robust and Nonlinear Control"},{"issue":"4","key":"10.3233\/JIFS-231879_ref26","doi-asserted-by":"crossref","first-page":"815","DOI":"10.1080\/00207179.2011.582155","article-title":"Operator-based robust control design for nonlinear plants with perturbation","volume":"84","author":"Bi","year":"2011","journal-title":"International Journal of Control"},{"issue":"10","key":"10.3233\/JIFS-231879_ref27","doi-asserted-by":"crossref","first-page":"3169","DOI":"10.1177\/0142331217718899","article-title":"Operator-based external disturbance rejection of perturbed nonlinear systems by using robust right coprime factorization","volume":"40","author":"Li","year":"2018","journal-title":"Transactions of the Institute of Measurement and Control"},{"issue":"1","key":"10.3233\/JIFS-231879_ref28","doi-asserted-by":"crossref","first-page":"318","DOI":"10.1109\/TCST.2015.2424853","article-title":"Adaptive nonlinear sensorless control for an uncertain miniature pneumatic curling rubber actuator using passivity and robust right coprime factorization","volume":"24","author":"Deng","year":"2016","journal-title":"IEEE Transactions on Control Systems Technology"},{"issue":"5","key":"10.3233\/JIFS-231879_ref29","doi-asserted-by":"crossref","first-page":"2186","DOI":"10.1109\/TMECH.2017.2734696","article-title":"Experimental study on robust non-linear forced vibration control for an L-shaped arm with reduced control inputs","volume":"22","author":"Wu","year":"2017","journal-title":"IEEE\/ASME Transactions on Mechatronics"},{"issue":"3","key":"10.3233\/JIFS-231879_ref30","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1007\/s12555-018-0294-4","article-title":"Tracking performance improvement for operator-based nonlinear robust control of wireless power transfer systems with uncertainties","volume":"17","author":"Gao","year":"2019","journal-title":"International Journal of Control, Automation and Systems"},{"issue":"5","key":"10.3233\/JIFS-231879_ref31","doi-asserted-by":"crossref","first-page":"807","DOI":"10.1109\/72.159070","article-title":"Fuzzy basis functions, universal approximation, and orthogonal least squares learning","volume":"3","author":"Wang","year":"1992","journal-title":"IEEE Transaction on Neural Network"},{"issue":"6","key":"10.3233\/JIFS-231879_ref32","doi-asserted-by":"crossref","first-page":"2118","DOI":"10.1109\/TFUZZ.2021.3066297","article-title":"Decentralized event-triggered adaptive fuzzy control for nonlinear switched large-scale systems with input delay via command-filtered backstepping","volume":"30","author":"Zhang","year":"2022","journal-title":"IEEE Transaction on Fuzzy Systems"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-231879","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:42:53Z","timestamp":1777455773000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-231879"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,10]]},"references-count":32,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.3233\/jifs-231879","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,1,10]]}}}