Discrete Takagi-Sugeno Fuzzy Models: Reduced Number of Stabilization Conditions
Abstract
Takagi-Sugeno’s fuzzy models enable to represent a wide class of non linear models in a compact set of the state variables. According to this representation stabilization conditions can be obtained and are usually put into the form of LMI. Since they are only sufficient conditions, current researches try to extend more and more the domain of solutions in order to lower the conservatism of the results. In this paper several matrix properties are used with the help of the elimination lemma. Our results concern discrete models.
