H∞ Filter Design for a Class of T-S Fuzzy Systems Based on Hamiltonian Model

Abstract

This paper investigates the H∞ filter design problem for a class of T-S fuzzy systems based on Hamiltonian model. First, a new method is proposed to change general nonlinear systems to Hamiltonian systems, which are easier to deal with. Then, by using the structural characteristics of Hamiltonian systems, the Lyapunov-Krasovskii functions are found and the H∞ filter can be designed. The unknown parameters of the filter are obtained by solving a special kind of inequalities. Finally, the simulation of an illustrative example shows that the proposed method is effective.