Title :
New Approaches for the Stabilization of Discrete Takagi-Sugeno Fuzzy Models
Author :
Kruszewski, A. ; Guerra, T.M.
Author_Institution :
LAMIH UMR CNRS 8530, University of Valenciennes et Hainaut Cambrésis, Le Mont Houy, 59313 Valenciennes CEDEX 9, Alexandre.Kruszewski@univ-valenciennes.fr.
Abstract :
The work presented deals with the stability and the stabilization of discrete Takagi-Sugeno fuzzy models. Several results show that stability and stabilization conditions using a non quadratic function outperform those obtained with a quadratic one. In this work we will use some new Lyapunov´s functions and show that the results obtained include all the other approaches. To show the effectiveness of the method, several examples are given.
Keywords :
Lyapunov method; Stability; State-space methods; Sufficient conditions; Takagi-Sugeno model;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582663