Publicação: Improving the stability conditions of TS fuzzy systems with fuzzy Lyapunov functions
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In 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.
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Linear matrix inequalities, Stability analysis, State feedback design, TS fuzzy system: Fuzzy Lyapunov functions, Continuous time, Feedback designs, Fuzzy Lyapunov functions, Numerical example, Problem formulation, Stability condition, Stability results, T S fuzzy system, Takagi Sugeno fuzzy systems, Time derivative, Lyapunov functions, State feedback
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Inglês
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IFAC Proceedings Volumes (IFAC-PapersOnline), v. 18, n. PART 1, p. 10881-10886, 2011.
