{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,25]],"date-time":"2025-06-25T05:51:40Z","timestamp":1750830700570},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2019,6,12]],"date-time":"2019-06-12T00:00:00Z","timestamp":1560297600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,6,12]],"date-time":"2019-06-12T00:00:00Z","timestamp":1560297600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Fuzzy Syst."],"published-print":{"date-parts":[[2019,7]]},"DOI":"10.1007\/s40815-019-00665-3","type":"journal-article","created":{"date-parts":[[2019,6,12]],"date-time":"2019-06-12T19:02:22Z","timestamp":1560366142000},"page":"1585-1596","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Stable Controller Design for T\u2013S Fuzzy Control Systems with Piecewise Multi-linear Interpolations into Membership Functions"],"prefix":"10.1007","volume":"21","author":[{"given":"Peng","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ning","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,6,12]]},"reference":[{"issue":"19","key":"665_CR1","doi-asserted-by":"publisher","first-page":"2776","DOI":"10.1016\/j.fss.2009.02.005","volume":"160","author":"M Bernal","year":"2009","unstructured":"Bernal, M., Guerra, T.M., Kruszewski, A.: A membership-function-dependent approach for stability analysis and controller synthesis of Takagi\u2013Sugeno models. Fuzzy Sets Syst. 160(19), 2776\u20132795 (2009)","journal-title":"Fuzzy Sets Syst."},{"issue":"17","key":"665_CR2","doi-asserted-by":"publisher","first-page":"3273","DOI":"10.1016\/j.ins.2010.05.006","volume":"180","author":"X-H Chang","year":"2010","unstructured":"Chang, X.-H., Yang, G.-H.: Relaxed stabilization conditions for continuous-time Takagi\u2013Sugeno fuzzy control systems. Inf. Sci. 180(17), 3273\u20133287 (2010)","journal-title":"Inf. Sci."},{"issue":"4","key":"665_CR3","doi-asserted-by":"publisher","first-page":"531","DOI":"10.1109\/TFUZZ.2004.841732","volume":"13","author":"C-L Chen","year":"2005","unstructured":"Chen, C.-L., Feng, G., Sun, D., Guan, X.-P.: $$h_\\infty$$ output feedback control of discrete-time fuzzy systems with application to chaos control. IEEE Trans. Fuzzy Syst. 13(4), 531\u2013543 (2005)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"2","key":"665_CR4","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1016\/0165-0114(93)90152-8","volume":"57","author":"C-L Chen","year":"1993","unstructured":"Chen, C.-L., Chen, P.-C., Chen, C.-K.: Analysis and design of fuzzy control system. Fuzzy Sets Syst. 57(2), 125\u2013140 (1993)","journal-title":"Fuzzy Sets Syst."},{"issue":"1","key":"665_CR5","doi-asserted-by":"publisher","first-page":"188","DOI":"10.1109\/TFUZZ.2009.2033192","volume":"18","author":"B Ding","year":"2010","unstructured":"Ding, B.: Stabilization of Takagi\u2013Sugeno model via nonparallel distributed compensation law. IEEE Trans. Fuzzy Syst. 18(1), 188\u2013194 (2010)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"5","key":"665_CR6","doi-asserted-by":"publisher","first-page":"487","DOI":"10.1080\/00207720701832671","volume":"39","author":"B Ding","year":"2008","unstructured":"Ding, B., Huang, B.: Reformulation of LMI-based stabilisation conditions for non-linear systems in Takagi\u2013Ssugeno\u2019s form. Int. J. Syst. Sci. 39(5), 487\u2013496 (2008)","journal-title":"Int. J. Syst. Sci."},{"issue":"4","key":"665_CR7","doi-asserted-by":"publisher","first-page":"827","DOI":"10.1109\/TFUZZ.2014.2328016","volume":"23","author":"J Dong","year":"2015","unstructured":"Dong, J., Yang, G.-H., Zhang, H.: Stability analysis of T\u2013S fuzzy control systems by using set theory. IEEE Trans. Fuzzy Syst. 23(4), 827\u2013841 (2015)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"5","key":"665_CR8","doi-asserted-by":"publisher","first-page":"676","DOI":"10.1109\/TFUZZ.2006.883415","volume":"14","author":"G Feng","year":"2006","unstructured":"Feng, G.: A survey on analysis and design of model-based fuzzy control systems. IEEE Trans. Fuzzy Syst. 14(5), 676\u2013697 (2006)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"5","key":"665_CR9","doi-asserted-by":"publisher","first-page":"823","DOI":"10.1016\/j.automatica.2003.12.014","volume":"40","author":"TM Guerra","year":"2004","unstructured":"Guerra, T.M., Vermeiren, L.: LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi\u2013Sugeno\u2019s form. Automatica 40(5), 823\u2013829 (2004)","journal-title":"Automatica"},{"issue":"1","key":"665_CR10","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1016\/0165-0114(93)90183-I","volume":"56","author":"S-Z He","year":"1993","unstructured":"He, S.-Z., Tan, S., Feng-Lan, X., Wang, P.-Z.: Fuzzy self-tuning of PID controllers. Fuzzy Sets Syst. 56(1), 37\u201346 (1993)","journal-title":"Fuzzy Sets Syst."},{"issue":"5","key":"665_CR11","doi-asserted-by":"publisher","first-page":"1371","DOI":"10.1109\/TSMCB.2008.927277","volume":"38","author":"G Hong Yang","year":"2008","unstructured":"Hong Yang, G., Dong, J.: $$h_{\\infty }$$ filtering for fuzzy singularly perturbed systems. IEEE Trans. Syst. Man Cybern. B Cybern. 38(5), 1371\u20131389 (2008)","journal-title":"IEEE Trans. Syst. Man Cybern. B Cybern."},{"issue":"5","key":"665_CR12","doi-asserted-by":"publisher","first-page":"699","DOI":"10.1109\/91.963756","volume":"9","author":"B-G Hu","year":"2001","unstructured":"Hu, B.-G., Mann, G.K.I., Gosine, R.G.: A systematic study of fuzzy pid controllers-function-based evaluation approach. IEEE Trans. Fuzzy Syst. 9(5), 699\u2013712 (2001)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"6","key":"665_CR13","doi-asserted-by":"publisher","first-page":"713","DOI":"10.1109\/91.811241","volume":"7","author":"M Johansson","year":"1999","unstructured":"Johansson, M., Rantzer, A., Arzen, K.: Piecewise quadratic stability of fuzzy systems. IEEE Trans. Fuzzy Syst. 7(6), 713\u2013722 (1999)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"4","key":"665_CR14","doi-asserted-by":"publisher","first-page":"735","DOI":"10.1137\/0714050","volume":"14","author":"TH Yao","year":"1977","unstructured":"Yao, T.H., Chung, K.C.: On lattices admitting unique lagrange interpolations. SIAM J. Numer. Anal. 14(4), 735\u2013743 (1977)","journal-title":"SIAM J. Numer. Anal."},{"issue":"6","key":"665_CR15","doi-asserted-by":"publisher","first-page":"893","DOI":"10.1016\/j.fss.2009.10.020","volume":"161","author":"M Khairy","year":"2010","unstructured":"Khairy, M., Elshafei, A.L., Emara, H.M.: LMI based design of constrained fuzzy predictive control. Fuzzy Sets Syst. 161(6), 893\u2013918 (2010)","journal-title":"Fuzzy Sets Syst."},{"issue":"5","key":"665_CR16","doi-asserted-by":"publisher","first-page":"523","DOI":"10.1109\/91.873576","volume":"8","author":"E Kim","year":"2000","unstructured":"Kim, E., Lee, H.: New approaches to relaxed quadratic stability condition of fuzzy control systems. IEEE Trans. Fuzzy Syst. 8(5), 523\u2013534 (2000)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"3","key":"665_CR17","doi-asserted-by":"publisher","first-page":"505","DOI":"10.1109\/TFUZZ.2011.2116027","volume":"19","author":"HK Lam","year":"2011","unstructured":"Lam, H.K.: Lmi-based stability analysis for fuzzy-model-based control systems using artificial T\u2013S fuzzy model. IEEE Trans. Fuzzy Syst. 19(3), 505\u2013513 (2011)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"5","key":"665_CR18","doi-asserted-by":"publisher","first-page":"1396","DOI":"10.1109\/TSMCB.2007.900733","volume":"37","author":"HK Lam","year":"2007","unstructured":"Lam, H.K., Leung, F.H.F.: LMI-based stability and performance conditions for continuous-time nonlinear systems in Takagi\u2013Sugeno\u2019s form. IEEE Trans. Syst. Man Cybern. B Cybern. 37(5), 1396\u20131406 (2007)","journal-title":"IEEE Trans. Syst. Man Cybern. B Cybern."},{"issue":"6","key":"665_CR19","doi-asserted-by":"publisher","first-page":"1654","DOI":"10.1109\/TFUZZ.2014.2302493","volume":"22","author":"DH Lee","year":"2014","unstructured":"Lee, D.H., Joo, Y.H.: On the generalized local stability and local stabilization conditions for discrete-time Takagi\u2013Sugeno fuzzy systems. IEEE Trans. Fuzzy Syst. 22(6), 1654\u20131668 (2014)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"4","key":"665_CR20","doi-asserted-by":"publisher","first-page":"958","DOI":"10.1109\/TFUZZ.2016.2593494","volume":"25","author":"X Li","year":"2017","unstructured":"Li, X., Lam, H.K., Liu, F., Zhao, X.: Stability and stabilization analysis of positive polynomial fuzzy systems with time delay considering piecewise membership functions. IEEE Trans. Fuzzy Syst. 25(4), 958\u2013971 (2017)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"1","key":"665_CR21","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1007\/s12555-015-2001-z","volume":"14","author":"Z Lian","year":"2016","unstructured":"Lian, Z., He, Y., Zhang, C.-K., Min, W.: Stability analysis for T\u2013S fuzzy systems with time-varying delay via free-matrix-based integral inequality. Int. J. Control Autom. Syst. 14(1), 21\u201328 (2016)","journal-title":"Int. J. Control Autom. Syst."},{"issue":"6","key":"665_CR22","doi-asserted-by":"publisher","first-page":"1147","DOI":"10.1109\/TFUZZ.2012.2191789","volume":"20","author":"C-M Lin","year":"2012","unstructured":"Lin, C.-M., Li, H.-Y.: TSK fuzzy CMAC-based robust adaptive backstepping control for uncertain nonlinear systems. IEEE Trans. Fuzzy Syst. 20(6), 1147\u20131154 (2012)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"4","key":"665_CR23","doi-asserted-by":"publisher","first-page":"623","DOI":"10.1109\/TFUZZ.2011.2127482","volume":"19","author":"T-C Lin","year":"2011","unstructured":"Lin, T.-C., Lee, T.-Y.: Chaos synchronization of uncertain fractional-order chaotic systems with time delay based on adaptive fuzzy sliding mode control. IEEE Trans. Fuzzy Syst. 19(4), 623\u2013635 (2011)","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"665_CR24","doi-asserted-by":"publisher","first-page":"2009","DOI":"10.1016\/j.neucom.2015.08.075","volume":"173","author":"L Liu","year":"2016","unstructured":"Liu, L., Yin, Y., Wang, L., Bai, R.: Stability analysis for switched positive T\u2013S fuzzy systems. Neurocomputing 173, 2009\u20132013 (2016)","journal-title":"Neurocomputing"},{"issue":"8","key":"665_CR25","doi-asserted-by":"publisher","first-page":"1149","DOI":"10.1016\/j.ins.2008.12.002","volume":"179","author":"LA Mozelli","year":"2009","unstructured":"Mozelli, L.A., Palhares, R.M., Avellar, G.S.C.: A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems. Inf. Sci. 179(8), 1149\u20131162 (2009)","journal-title":"Inf. Sci."},{"issue":"9","key":"665_CR26","doi-asserted-by":"publisher","first-page":"1429","DOI":"10.1016\/0005-1098(94)90008-6","volume":"30","author":"R Palm","year":"1994","unstructured":"Palm, R.: Robust control by fuzzy sliding mode. Automatica 30(9), 1429\u20131437 (1994)","journal-title":"Automatica"},{"issue":"5","key":"665_CR27","doi-asserted-by":"publisher","first-page":"1101","DOI":"10.1109\/TFUZZ.2013.2281993","volume":"22","author":"C Peng","year":"2014","unstructured":"Peng, C., Yue, D., Fei, M.-R.: Relaxed stability and stabilization conditions of networked fuzzy control systems subject to asynchronous grades of membership. IEEE Trans. Fuzzy Syst. 22(5), 1101\u20131112 (2014)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"24","key":"665_CR28","doi-asserted-by":"publisher","first-page":"2671","DOI":"10.1016\/j.fss.2007.06.016","volume":"158","author":"A Sala","year":"2007","unstructured":"Sala, A., Arino, C.: Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: applications of Polya\u2019s theorem. Fuzzy Sets Syst. 158(24), 2671\u20132686 (2007)","journal-title":"Fuzzy Sets Syst."},{"issue":"1","key":"665_CR29","doi-asserted-by":"publisher","first-page":"116","DOI":"10.1109\/TSMC.1985.6313399","volume":"15","author":"T Takagi","year":"1985","unstructured":"Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. SMC Syst. Man Cybern. 15(1), 116\u2013132 (1985)","journal-title":"IEEE Trans. SMC Syst. Man Cybern."},{"issue":"4","key":"665_CR30","doi-asserted-by":"publisher","first-page":"582","DOI":"10.1109\/TFUZZ.2003.814861","volume":"11","author":"K Tanaka","year":"2003","unstructured":"Tanaka, K., Hori, T., Wang, H.O.: A multiple Lyapunov function approach to stabilization of fuzzy control systems. IEEE Trans. Fuzzy Syst. 11(4), 582\u2013589 (2003)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"2","key":"665_CR31","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1016\/0165-0114(92)90113-I","volume":"45","author":"K Tanaka","year":"1992","unstructured":"Tanaka, K., Sugeno, M.: Stability analysis and design of fuzzy control systems. Fuzzy Sets Syst. 45(2), 135\u2013156 (1992)","journal-title":"Fuzzy Sets Syst."},{"key":"665_CR32","doi-asserted-by":"publisher","DOI":"10.1002\/0471224596","volume-title":"Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach","author":"K Tanaka","year":"2001","unstructured":"Tanaka, K., Wang, H.O.: Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. Wiley, New York (2001)"},{"issue":"5","key":"665_CR33","doi-asserted-by":"publisher","first-page":"1365","DOI":"10.1109\/TFUZZ.2013.2291554","volume":"22","author":"S Tong","year":"2014","unstructured":"Tong, S., Sui, S., Li, Y.: Adaptive fuzzy decentralized output stabilization for stochastic nonlinear large-scale systems with unknown control directions. IEEE Trans. Fuzzy Syst. 22(5), 1365\u20131372 (2014)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"1","key":"665_CR34","doi-asserted-by":"publisher","first-page":"682","DOI":"10.1109\/TSMCB.2003.809229","volume":"34","author":"L Wang","year":"2004","unstructured":"Wang, L., Feng, G.: Piecewise H infinity; controller design of discrete time fuzzy systems. IEEE Trans. Syst. Man Cybern. B Cybern. 34(1), 682\u2013686 (2004)","journal-title":"IEEE Trans. Syst. Man Cybern. B Cybern."},{"key":"665_CR35","doi-asserted-by":"crossref","unstructured":"Wang, P., Li, N., Li, S.: Stability analysis for T\u2013S fuzzy control systems with linear interpolations into membership functions. In: 2012 12th International Conference on Control Automation Robotics Vision (ICARCV), pp. 1749\u20131754 (2012)","DOI":"10.1109\/ICARCV.2012.6485414"},{"key":"665_CR36","unstructured":"Wang, Y., Sun, Z.\u00a0Q., Sun, F.C.: Stability analysis and control of discrete-time fuzzy systems: a fuzzy Lyapunov function approach. In: 5th Asian Control Conference, vol.\u00a03, pp. 1855\u20131860 (2004)"},{"issue":"1","key":"665_CR37","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1109\/TFUZZ.2013.2249518","volume":"22","author":"X Yang","year":"2014","unstructured":"Yang, X., Ligang, W., Lam, H.-K., Xiaojie, S.: Stability and stabilization of discrete-time T\u2013S fuzzy systems with stochastic perturbation and time-varying delay. IEEE Trans. Fuzzy Syst. 22(1), 124\u2013138 (2014)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"1","key":"665_CR38","doi-asserted-by":"publisher","first-page":"104","DOI":"10.1109\/TFUZZ.2004.839663","volume":"13","author":"Y Yang","year":"2005","unstructured":"Yang, Y., Zhou, C.: Adaptive fuzzy H infinity; stabilization for strict-feedback canonical nonlinear systems via backstepping and small-gain approach. IEEE Trans. Fuzzy Syst. 13(1), 104\u2013114 (2005)","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"665_CR39","first-page":"586","volume":"293","author":"D Zhai","year":"2017","unstructured":"Zhai, D., An-Yang, L., Dong, J., Zhang, Q.-L.: Stability analysis and state feedback control of continuous-time T\u2013S fuzzy systems via anew switched fuzzy Lyapunov function approach. Appl. Math. Comput. 293, 586\u2013599 (2017)","journal-title":"Appl. Math. Comput."},{"issue":"3","key":"665_CR40","doi-asserted-by":"publisher","first-page":"478","DOI":"10.1109\/TFUZZ.2011.2114887","volume":"19","author":"H Zhang","year":"2011","unstructured":"Zhang, H., Xie, X.: Relaxed stability conditions for continuous-time T\u2013S fuzzy-control systems via augmented multi-indexed matrix approach. IEEE Trans. Fuzzy Syst. 19(3), 478\u2013492 (2011)","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"2","key":"665_CR41","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1109\/TFUZZ.2008.2011135","volume":"17","author":"T Zhang","year":"2009","unstructured":"Zhang, T., Feng, G.: Rapid load following of an sofc power system via stable fuzzy predictive tracking controller. IEEE Trans. Fuzzy Syst. 17(2), 357\u2013371 (2009)","journal-title":"IEEE Trans. Fuzzy Syst."}],"container-title":["International Journal of Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40815-019-00665-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s40815-019-00665-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40815-019-00665-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,6,10]],"date-time":"2020-06-10T23:31:06Z","timestamp":1591831866000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s40815-019-00665-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,6,12]]},"references-count":41,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2019,7]]}},"alternative-id":["665"],"URL":"https:\/\/doi.org\/10.1007\/s40815-019-00665-3","relation":{},"ISSN":["1562-2479","2199-3211"],"issn-type":[{"value":"1562-2479","type":"print"},{"value":"2199-3211","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,6,12]]},"assertion":[{"value":"13 February 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 December 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 May 2019","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 June 2019","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}