{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T19:04:03Z","timestamp":1754161443298,"version":"3.41.2"},"reference-count":35,"publisher":"Emerald","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,11,9]]},"abstract":"<jats:sec>\n                  <jats:title>Purpose<\/jats:title>\n                  <jats:p>\u2013 The purpose of this paper is to deal with the stabilization of the continuous Takagi Sugeno (TS) fuzzy models using their discretized forms based on the decay rate performance approach.<\/jats:p>\n               <\/jats:sec>\n               <jats:sec>\n                  <jats:title>Design\/methodology\/approach<\/jats:title>\n                  <jats:p>\u2013 This approach is structured as follows: first, a discrete model is obtained from the discretization of the continuous TS fuzzy model. The discretized model is obtained from the Euler approximation method which is used for several orders. Second, based on the decay rate stabilization conditions, the gains of a non-PDC control law ensuring the stabilization of the discrete model are determined. Third by keeping the values of the gains, the authors determine the values of the performance criterion and the authors check by simulation the stability of the continuous TS fuzzy models through the zero order hold.<\/jats:p>\n               <\/jats:sec>\n               <jats:sec>\n                  <jats:title>Findings<\/jats:title>\n                  <jats:p>\u2013 The proposed idea lead to compare the performance continuous stability results with the literature. The comparison is, also, taken between the quadratic and non-quadratic cases.<\/jats:p>\n               <\/jats:sec>\n               <jats:sec>\n                  <jats:title>Originality\/value<\/jats:title>\n                  <jats:p>\u2013 Therefore, the originality of this paper consists in the improvement of the continuous fuzzy models by using their discretized models. In this case, the effect of the discretization step on the performances of the continuous TS fuzzy models is studied. The usefulness of this approach is shown through two examples.<\/jats:p>\n               <\/jats:sec>","DOI":"10.1108\/ijicc-06-2015-0020","type":"journal-article","created":{"date-parts":[[2015,11,9]],"date-time":"2015-11-09T09:31:16Z","timestamp":1447061476000},"page":"383-400","source":"Crossref","is-referenced-by-count":0,"title":["Decay rate performance approach for stabilization continuous fuzzy models using their discretized forms"],"prefix":"10.1108","volume":"8","author":[{"given":"Ameni","family":"Ellouze","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, National School of Engineers of Sfax, University of Sfax, Sfax, Tunisia"}]},{"given":"Fran\u00e7ois","family":"Delmotte","sequence":"additional","affiliation":[{"name":"University of Lille, Lille, France AND University of Artois Technoparc Futura, Bethune, France"}]},{"given":"Jimmy","family":"Lauber","sequence":"additional","affiliation":[{"name":"University of Valenciennes and Hainaut-Cambr\u00e9sis, Valenciennes, France"}]},{"given":"Mohamed","family":"Chtourou","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, National School of Engineers of Sfax, University of Sfax, Sfax, Tunisia"}]},{"given":"Mohamed","family":"Ksantini","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering,National School of Engineers of Sfax, University of Sfax, Sfax, Tunisia"}]}],"member":"140","reference":[{"issue":"3","key":"2025072819004218700_b6","doi-asserted-by":"crossref","first-page":"398","DOI":"10.1108\/17563780810893473","article-title":"A multi-agent approach to TS-fuzzy modeling and predictive control of constrained nonlinear system","volume":"1","author":"","year":"2008","journal-title":"International Journal of Intelligent Computing and Cybernetics"},{"issue":"4","key":"2025072819004218700_b15","doi-asserted-by":"crossref","first-page":"815","DOI":"10.1109\/TFUZZ.2010.2049113","article-title":"Generalized nonquadratic stability of continuous-time Takagi-Sugeno models","volume":"18","author":"","year":"2010","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"2025072819004218700_b35","doi-asserted-by":"crossref","unstructured":"Bernal, M.\n          , Guerra, T.M. and Jaadari, A. (2006a), \u201cNon quadratic stabilization of Takagi Sugeno models: a local point of view\u201d, Fuzzy Systems (FUZZ), 2010 IEEE International Conference.","DOI":"10.1109\/FUZZY.2010.5584700"},{"issue":"6","key":"2025072819004218700_b16","first-page":"665","article-title":"Non quadratic stabilization of continuous-time systems in the Takagi-Sugeno form","volume":"42","author":"","year":"2006","journal-title":"Kybernetika"},{"key":"2025072819004218700_b12","doi-asserted-by":"crossref","unstructured":"Boyd, S.\n          , El Ghaoui, L, Feron, E. and Balakrishnan, V. (1994),                   Linear Matrix Inequalities in Systems and Control Theory                , SIAM, Philadelphia, PA.","DOI":"10.1137\/1.9781611970777"},{"issue":"2","key":"2025072819004218700_b33","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/j.engappai.2009.10.006","article-title":"Stabilization for a class of nonlinear systems: a fuzzy logic approach","volume":"23","author":"","year":"2010","journal-title":"Engineering Applications of Artificial Intelligence"},{"issue":"2","key":"2025072819004218700_b7","doi-asserted-by":"crossref","first-page":"386","DOI":"10.1108\/17563780910959947","article-title":"Fuzzy control with passivity synthesis for continuous affine Takagi-Sugeno fuzzy systems","volume":"2","author":"","year":"2009","journal-title":"International Journal of Intelligent Computing and Cybernetics"},{"issue":"17","key":"2025072819004218700_b13","doi-asserted-by":"crossref","first-page":"3273","DOI":"10.1016\/j.ins.2010.05.006","article-title":"Relaxed stabilization conditions for continuous-time Takagi-Sugeno fuzzy control systems","volume":"180","author":"","year":"2010","journal-title":"Information Sciences"},{"issue":"6","key":"2025072819004218700_b17","doi-asserted-by":"crossref","first-page":"1166","DOI":"10.1109\/TFUZZ.2012.2196049","article-title":"Relaxed stabilization criterion for T-S fuzzy systems by minimum-type piecewise Lyapunov function based switching fuzzy controller","volume":"20","author":"","year":"2012","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"3","key":"2025072819004218700_b5","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1016\/j.automatica.2005.11.005","article-title":"Further studies on LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno\u2019s form","volume":"42","author":"","year":"2006","journal-title":"Automatica"},{"issue":"4","key":"2025072819004218700_b26","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1108\/IJICC-10-2013-0048","article-title":"New stabilization conditions for continuous fuzzy models using their discretized forms","volume":"7","author":"","year":"2014","journal-title":"International Journal of Intelligent Computing and Cybernetics"},{"issue":"3","key":"2025072819004218700_b8","doi-asserted-by":"crossref","first-page":"1051","DOI":"10.1108\/COMPEL-05-2013-0185","article-title":"Model-free discrete control for robot manipulators using a fuzzy estimator","volume":"33","author":"","year":"2014","journal-title":"COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering"},{"issue":"2","key":"2025072819004218700_b32","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1016\/j.automatica.2009.11.017","article-title":"A refined input delay approach to sampled-data control","volume":"46","author":"","year":"2010","journal-title":"Automatica"},{"issue":"8","key":"2025072819004218700_b29","doi-asserted-by":"crossref","first-page":"1441","DOI":"10.1016\/j.automatica.2004.03.003","article-title":"Robust sampled-data stabilization of linear systems: an input delay approach","volume":"40","author":"","year":"2004","journal-title":"Automatica"},{"key":"2025072819004218700_b23","unstructured":"Gahinet, P.\n          , Nemirovski, A., Laub, A.J. and Chilali, M. (1995),                   LMI Control Toolbox                , The MathWorks Inc., Natick, MA."},{"issue":"5","key":"2025072819004218700_b19","doi-asserted-by":"crossref","first-page":"972","DOI":"10.1109\/TFUZZ.2006.890660","article-title":"Stabilization of nonlinear systems under variable sampling: a fuzzy control approach","volume":"15","author":"","year":"2007","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"5","key":"2025072819004218700_b4","doi-asserted-by":"crossref","first-page":"823","DOI":"10.1016\/j.automatica.2003.12.014","article-title":"LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno\u2019s form","volume":"40","author":"","year":"2004","journal-title":"Automatica"},{"key":"2025072819004218700_b9","doi-asserted-by":"crossref","unstructured":"Kawamoto, S.\n          , Tada, K., Ishigame, A. and Taniguchi, T. (1992), \u201cAn approach to stability analysis of second order fuzzy systems\u201d, Proceedings of First IEEE International Conference on Fuzzy Systems, Vol. 1, San Diego, CA, pp. 1427-1434.","DOI":"10.1109\/FUZZY.1992.258713"},{"issue":"2","key":"2025072819004218700_b20","first-page":"251","article-title":"Fuzzy stabilization of nonlinear systems under sampled-data feedback: an exact discrete-time model approach","volume":"18","author":"","year":"2010","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"5","key":"2025072819004218700_b24","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1109\/91.873576","article-title":"New approaches to relaxed quadratic stability condition of fuzzy control systems","volume":"8","author":"","year":"2000","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"1","key":"2025072819004218700_b21","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1049\/iet-cta:20070126","article-title":"Sampled-data fuzzy controller for continuous nonlinear systems","volume":"2","author":"","year":"2008","journal-title":"IET Control Theory Application"},{"issue":"55","key":"2025072819004218700_b22","first-page":"274","article-title":"A new intelligent digital redesign for T-S fuzzy systems: global approach","volume":"12","author":"","year":"2004","journal-title":"IEEE Transaction on Fuzzy Systems"},{"key":"2025072819004218700_b34","unstructured":"Mor\u00e8re, Y.\n           (2001), \u201cMise en oeuvre de lois de commande pour les mod\u00e8les flous de type Takagi- Sugeno\u201d, Thesis in University of Valenciennes and Hainaut-Cambr\u00e9sis, Janvier, France, Janvier."},{"issue":"8","key":"2025072819004218700_b14","doi-asserted-by":"crossref","first-page":"1149","DOI":"10.1016\/j.ins.2008.12.002","article-title":"A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems","volume":"179","author":"","year":"2009","journal-title":"Information Sciences"},{"issue":"5","key":"2025072819004218700_b31","doi-asserted-by":"crossref","first-page":"378","DOI":"10.1016\/j.sysconle.2007.10.009","article-title":"Exponential stability of impulsive systems with application to uncertain sampled-data systems","volume":"57","author":"","year":"2008","journal-title":"Systems & Control Letters"},{"issue":"3","key":"2025072819004218700_b18","first-page":"1063","article-title":"Non quadratic stabilization of continuous TS Fuzzy models: LMI solution for a local approach","volume":"20","author":"","year":"2012","journal-title":"IEEE Transaction on Fuzzy Systems"},{"key":"2025072819004218700_b30","unstructured":"Seuret, A.\n           (2006), \u201cCommande et observation des syst\u00e8mes \u00e0 retards variables: th\u00e9orie et applications\u201d, PhD thesis, Ecole Centrale de Lille, Lille."},{"issue":"1","key":"2025072819004218700_b1","first-page":"116","article-title":"Fuzzy identification of systems and its applications to modeling and control","volume":"15","author":"","year":"1985","journal-title":"IEEE Transactions on Systems Man and Cybernetics"},{"issue":"2","key":"2025072819004218700_b10","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/0165-0114(92)90113-I","article-title":"Stability analysis and design of fuzzy control systems","volume":"45","author":"","year":"1992","journal-title":"Fuzzy Sets and Systems"},{"issue":"4","key":"2025072819004218700_b3","doi-asserted-by":"crossref","first-page":"582","DOI":"10.1109\/TFUZZ.2003.814861","article-title":"A multiple Lyapunov function approach to stabilization of fuzzy control systems","volume":"11","author":"","year":"2003","journal-title":"IEEE Transaction on Fuzzy Systems"},{"key":"2025072819004218700_b27","doi-asserted-by":"crossref","unstructured":"Tanaka, K.\n          , Ikeda, T. and Wang, H.O. (1996), \u201cDesign of fuzzy control systems based on relaxed LMI stability conditions\u201d, Proceedings of 35th IEEE Conference on Decision and Control, Vol. 1, Kobe, pp. 598-603.","DOI":"10.1109\/CDC.1996.574389"},{"issue":"2","key":"2025072819004218700_b25","first-page":"1","article-title":"Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs","volume":"6","author":"","year":"1998","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"2","key":"2025072819004218700_b28","first-page":"250","article-title":"Fuzzy regulator and fuzzy observer: relaxed stability conditions and LMI-based designs","volume":"6","author":"","year":"2002","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"2","key":"2025072819004218700_b2","first-page":"324","article-title":"Parameterized linear matrix inequality techniques in Fuzzy control system design","volume":"19","author":"","year":"2001","journal-title":"IEEE Transaction on Fuzzy Systems"},{"issue":"1","key":"2025072819004218700_b11","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1109\/91.481841","article-title":"An approach to fuzzy control of non linear systems: stability and design issues","volume":"4","author":"","year":"1996","journal-title":"IEEE Transactions on Fuzzy Systems"}],"container-title":["International Journal of Intelligent Computing and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.emeraldinsight.com\/doi\/full-xml\/10.1108\/IJICC-06-2015-0020","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/insight\/content\/doi\/10.1108\/IJICC-06-2015-0020\/full\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.emerald.com\/ijicc\/article-pdf\/8\/4\/383\/886974\/ijicc-06-2015-0020.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/www.emerald.com\/ijicc\/article-pdf\/8\/4\/383\/886974\/ijicc-06-2015-0020.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,28]],"date-time":"2025-07-28T23:00:51Z","timestamp":1753743651000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.emerald.com\/ijicc\/article\/8\/4\/383\/133236\/Decay-rate-performance-approach-for-stabilization"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,11,9]]},"references-count":35,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2015,11,9]]}},"URL":"https:\/\/doi.org\/10.1108\/ijicc-06-2015-0020","relation":{},"ISSN":["1756-378X","1756-3798"],"issn-type":[{"type":"print","value":"1756-378X"},{"type":"electronic","value":"1756-3798"}],"subject":[],"published":{"date-parts":[[2015,11,9]]}}}