On the global stability of Takagi-Sugeno general model

Autores: F. Matía, Basil M. Al-Hadithi , Antonio Jiménez Martín
Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 6, Nº. 2-3, 1999, págs. 293-304
Idioma: inglés
Títulos paralelos:
- Sobre la estabilidad global del modelo general Takagi-Sugeno
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Resumen
- Global stability of Takagi-Sugeno (T-S) fuzzy model is presented. First, stability conditions for T-S fuzzy model presented by Tanaka and Sugeno are reviewed. Second, new theorems for the stability of the general form of T-S model is derived in the sense of Lyapunov.
  
  The T-S model we studied includes a linear equation with a constant parameter in the consequent part of each rule while other authors have analyzed the model with no constant term, which does not represent a real system. This in turn will impose restrictions on the stability conditions derived in this field. An example is presented to illustrate the new suggested condition.