Robust H∞ fuzzy filtering for uncertain singular nonlinear stochastic systems

This paper investigates the problem of robust H_∞ filter design for nonlinear singular systems with Wiener process via a fuzzy-control approach. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear singular stochastic system with norm-bounded parameter uncertainties. The purpose of the paper is to design a robust H_∞ fuzzy filter such that, for all admissiable uncertainties, the fuzzy filtering error system is robustly stochastically mean-square stable, and a prescribed H_∞ disturbance attenuation level is guaranteed. A sufficient condition for the existence of an H_∞ filter for the system under consideration is achieved in terms of LMIS(Linear matrix inequalities). Moreover, the expressions of desired fuzzy filter are given.