Observer Design for a Class of Discrete-Time Takagi-Sugeno Models with Unmeasurable Premise Variables: Application to an Asynchronous Motor

Abstract

A new fuzzy observer design for a class of discrete-time Takagi-Sugeno models (DTSMs) when the premise variables are not accessible is proposed in this paper. Using the Lyapunov theory, convergence conditions of this observer design are obtained and expressed in term of linear matrix inequalities (LMIs). Finally, an application to a DTSM of an asynchronous motor is given to illustrate the effectiveness of the proposed fuzzy observer design.