Fuzzy control with common observability Gramian assignment for continuous Takagi-Sugeno models

Abstract

Based on the Gramian assignment technique, a continuous fuzzy controller for a class of uncertain nonlinear systems is developed. These nonlinear systems considered are represented by Takagi-Sugeno fuzzy models. The design of this fuzzy controller can be accomplished by assigning a certain common observability Gramian for each rule of these Takagi-Sugeno fuzzy models.