New Approaches for the Stabilization of Discrete Takagi-Sugeno Fuzzy Models

Alexandre Kruszewski, Thierry‐Marie Guerra · 2006

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.

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