Fuzzy Filtering for a Class of Nonlinear Systems with Feedback Uncertainties

This paper studies the problem of H-infinity filtering for nonlinear uncertain systems. The parameter uncertainties are assumed to be a class of feedback uncertainties. The nonlinear plant is represented by a Takagi-Sugeno fuzzy model. The paper is focused on the design of a fuzzy filter guaranteeing a prescribed H-infinity performance of the filtering error system. By introducing some slack matrix variables, a sufficient condition for the H-infinity filter design is presented in terms of solutions to a set of linear matrix inequalities. A simulation example will be given to show the efficiency of the proposed method.