Observer Design of Discrete Time T-S Fuzzy Systems with Measurable Premise Variables Based on Fuzzy Lyapunov Function Approach

Abstract

This paper deals with the design of fuzzy observer for discrete time nonlinear system represented by Takagi Sugeno with measurable premise variables. The proposed observer design approach is based on fuzzy lyapunov function. The convergence conditions of the fuzzy observer are achieved in terms of Liner Matrix Inequalities (LMI). Finally, an example is given to illustrate the proposed result.