Control law proposition for the stabilization of discrete Takagi-Sugeno models

Authors:
Thierry Marie Guerra;Alexandre Kruszewski;Miguel Bernal
Affiliations:
Laboratoire d’Automatique et de Mécanique Industrielles et Humaines, Unité Mixte de Recherche, Centre National de la Recherche Scientifique, University of Valenciennes Hainaut-Camb ...;LAGIS UMR CNRS 8146 Ecole Centrale de Lille, Cité Scientifique, Villeneuve d’Ascq, France;National Research System, Mexico City, Mexico
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2009

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Abstract

This paper deals with the stabilization of a class of discrete nonlinear models, namely those in the Takagi-Sugeno form; its main goal is to reduce conservatism of existing stabilization conditions using a special class of candidate Lyapunov functions and an enhanced control law. It is shown that the use of the aforementioned Lyapunov function leads to less-pessimistic solutions. The usefulness of the new control law is shown through several examples.