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On the global stability of Takagi-Sugeno general model

Universidad de Granada: Departamento de Ciencias de la Computación e Inteligencia Artificial
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  • Control Difuso
  • Lógica Difusa
  • Modelos Matemáticos
  • Mathematics


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.

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