{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:54:38Z","timestamp":1754157278043,"version":"3.41.2"},"reference-count":21,"publisher":"Emerald","issue":"2","license":[{"start":{"date-parts":[[2009,6,5]],"date-time":"2009-06-05T00:00:00Z","timestamp":1244160000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2009,6,5]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-heading\">Purpose<\/jats:title><jats:p>The purpose of this paper is to propose a stability analysis and control synthesis for achieving passivity properties of a class of continuous\u2010time nonlinear systems. These nonlinear systems are represented via continuous affine Takagi\u2010Sugeno (T\u2010S) fuzzy models, which played an important role in nonlinear control systems. The affine T\u2010S fuzzy models are more approximate than homogeneous T\u2010S fuzzy models for modeling nonlinear systems. Using the energy concept of passivity theory with Lyapunov function, the conditions are derived to ensure the passivity and stability of nonlinear systems. Based on the parallel distribution compensation (PDC) technique, this paper proposes a fuzzy controller design approach to achieve the passivity and stability for the continuous affine T\u2010S fuzzy systems.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title><jats:p>For solving stability and stabilization problems of affine T\u2010S fuzzy models, the conversion techniques and passive theory are employed to derive the stability conditions. By applying the linear matrix inequality technique, a modified iterative linear matrix inequality algorithm is proposed to determine and update the auxiliary variables for finding feasible solutions of these stability conditions.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>By studying the numerical example, the proposed design technique of this paper is an effectiveness and useful approach to design the PDC\u2010based fuzzy controller. From the simulation results, the considered nonlinear system with external disturbances driven by proposed design fuzzy controller is stable and strictly input passive.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>This paper is interesting for designing fuzzy controller to guarantee the stability and strict input passivity of affine T\u2010S fuzzy models.<\/jats:p><\/jats:sec>","DOI":"10.1108\/17563780910959947","type":"journal-article","created":{"date-parts":[[2009,6,6]],"date-time":"2009-06-06T07:09:02Z","timestamp":1244272142000},"page":"386-408","source":"Crossref","is-referenced-by-count":5,"title":["Fuzzy control with passivity synthesis for continuous affine Takagi\u2010Sugeno fuzzy systems"],"prefix":"10.1108","volume":"2","author":[{"given":"Wen\u2010Jer","family":"Chang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cheung\u2010Chieh","family":"Ku","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Chang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"140","reference":[{"key":"key2022021119494936300_b1","doi-asserted-by":"crossref","unstructured":"Boyd, S., Ghaoui, L.E., Feron, E. and Balakrishnan, V. 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