Stability analysis of the Takagi--Sugeno fuzzy model via Lyapunov method is discussed in this paper. The fuzzy model is like a non-linear interpolation of linear submodels via state-depending membership functions. For this model we introduce a stability test based on the direct method of Lyapunov that, contrary to other existing methods, considers explicitly the membership functions in the criteria.
Stability Analysis of Takagi--Sugeno Fuzzy Systems by Lyapunov Method / Fantuzzi, Cesare; R., Babuska; S., Stramigioli; H., Verbruggen. - STAMPA. - (1996), pp. 345-401. (Intervento presentato al convegno EUFIT’98, 6th European Congress on Intelligent Techniques & Soft Computing tenutosi a Aachen (Germany) nel 25 September 1996-).
Stability Analysis of Takagi--Sugeno Fuzzy Systems by Lyapunov Method
FANTUZZI, Cesare;
1996
Abstract
Stability analysis of the Takagi--Sugeno fuzzy model via Lyapunov method is discussed in this paper. The fuzzy model is like a non-linear interpolation of linear submodels via state-depending membership functions. For this model we introduce a stability test based on the direct method of Lyapunov that, contrary to other existing methods, considers explicitly the membership functions in the criteria.
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