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By constructing a new Lyapunov function, the stability conditions of the open-loop T-S fuzzy hyperbolic system are derived via linear matrix inequalities (LMIs). Then, the parallel distributed compensation (PDC) method is used to design a fuzzy hyperbolic controller, and the asymptotic stability conditions of the closed-loop system are formulated via LMIs. The main advantage of the control based on T-S fuzzy hyperbolic model is that it can achieve small control amplitude via \u201csoft\u201d constraint control approach. Finally, the effectiveness and advantage of the proposed schemes are illustrated by a mathematical constructive example and the Van de Vusse example.<\/jats:p>","DOI":"10.3233\/jifs-161780","type":"journal-article","created":{"date-parts":[[2017,12,1]],"date-time":"2017-12-01T12:25:47Z","timestamp":1512131147000},"page":"3265-3273","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Modeling and control of Takagi-Sugeno fuzzy hyperbolic model for a class of nonlinear systems"],"prefix":"10.1177","volume":"33","author":[{"given":"Junmin","family":"Li","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Xidian University, Xi\u2019an, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiaxian","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Xidian University, Xi\u2019an, 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