Dissipative Filter Design for Interval Type-2 Fuzzy Singular Systems with Stochastic Perturbation

This paper concerns with the dissipative filtering problem for nonlinear singular system with stochastic perturbation. By considering the uncertainties exist in membership functions, the nonlinear system is modeled by interval type-2 fuzzy (IT2F) stochastic singular system. Based on the Lyapunov stability theory, a sufficient condition is utilized to prove that IT2F filtering error system is mean-square admissible and strictly dissipative. And the corresponding solution of the dissipative filter model is obtained by solving a set of linear matrix inequalities. A numerical example is provided to prove the correctness of the obtained result and the designed method.