title: Discrete Takagi-Sugeno's fuzzy models: reduction of the number of LMI in fuzzy control techniques.
abstract: Conditions about the stabilization of Takagi-Sugeno fuzzy models can systematically be derived and solved usually using linear matrix inequality problems. Current research tries to lower any pessimism. However, often it leads to an important increase in the number of decision variables, and problems become unsolvable. In this correspondence, we choose to reduce the number of decision variables while not raising the conservatism in comparison with previous results. This correspondence deals with the discrete case, which is harder to solve. We supply results about the stabilization, the regulator problem, and also H( infinity) control.
authors.affiliation: Centre National de la Recherche Scientifique, Unité Mixte de Recherche 8530, Université de Valenciennes et du Hainaut-Cambrésis, Le Mont Houy, France. francois.delmotte@univ-valenciennes.fr
authors.forename: Francois
authors.initials: F
authors.lastname: Delmotte
authors.forename: Thierry Marie
authors.initials: TM
authors.lastname: Guerra
authors.forename: Alexandre
authors.initials: A
authors.lastname: Kruszewski
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D017143:Fuzzy Logic; D016014:Linear Models; D008962:Models, Theoretical; D017711:Nonlinear Dynamics