Faria, Flávio A. [UNESP]Silva, Geraldo N. [UNESP]Oliveira, Vilma A.Cardim, Rodrigo [UNESP]2014-05-272014-05-272011-12-01IFAC Proceedings Volumes (IFAC-PapersOnline), v. 18, n. PART 1, p. 10881-10886, 2011.1474-6670http://hdl.handle.net/11449/72900In this paper, the fuzzy Lyapunov function approach is considered for stabilizing continuous-time Takagi-Sugeno fuzzy systems. Previous linear matrix inequality (LMI) stability conditions are relaxed by exploring further the properties of the time derivatives of premise membership functions and by introducing a slack LMI variable into the problem formulation. The stability results are thus used in the state feedback design which is also solved in terms of LMIs. Numerical examples illustrate the efficiency of the new stabilizing conditions presented. © 2011 IFAC.10881-10886engLinear matrix inequalitiesStability analysisState feedback designTS fuzzy system: Fuzzy Lyapunov functionsContinuous timeFeedback designsFuzzy Lyapunov functionsNumerical exampleProblem formulationStability conditionStability resultsT S fuzzy systemTakagi Sugeno fuzzy systemsTime derivativeLyapunov functionsState feedbackTrabalho apresentado em evento10.3182/20110828-6-IT-1002.00029Acesso aberto2-s2.0-8486677448550620873805714620000-0002-1072-3814