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Conditions of Output Stabilization for Uncertain Discrete TS Fuzzy Models

Authors:Kruszewski Alexandre, University of Valenciennes et du Hainaut Cambrésis, France, Metropolitan
Guerra Thierry Marie, University of Valenciennes et du Hainaut Cambrésis, France, Metropolitan
Topic:3.2 Cognition and Control ( AI, Fuzzy, Neuro, Evolut.Comp.)
Session:Fuzzy Control: LMI Methods
Keywords: fuzzy, output stabilization, observer design, stabilization, robust control

Abstract

Output stabilization of uncertain discrete-time non linear models via an observer is a problem that can be considered through a Takagi-Sugeno framework. This work provides systematic design procedures by using direct Lyapunov’s method with a non quadratic Lyapunov’s function. This leads to LMI conditions that can be efficiently solved. This result always includes the quadratic case.