Unknown Input Observer Design for Takagi-Sugeno Systems with Fuzzy Output Equation

Abstract

This paper studies unknown input observer design for discrete-time Takagi-Sugeno fuzzy systems. The proposed unknown input observer has a new structure that can be applied to Takagi-Sugeno fuzzy systems with nonlinear output equation. We derive the design conditions of the proposed unknown input observer based on Lyapunov function and convert them into a set of linear matrix inequalities. Numerical simulations of a vehicle lateral dynamics are given to illustrate the effectiveness of the proposed method.