Otro
Improving the stability conditions of TS fuzzy systems with fuzzy Lyapunov functions
Registro en:
IFAC Proceedings Volumes (IFAC-PapersOnline), v. 18, n. PART 1, p. 10881-10886, 2011.
1474-6670
10.3182/20110828-6-IT-1002.00029
2-s2.0-84866774485
Autor
Faria, Flávio A.
Silva, Geraldo N.
Oliveira, Vilma A.
Cardim, Rodrigo
Resumen
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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