This paper develops fuzzy

H

∞

filter to estimate signal for a class of nonlinear discrete-time state-delayed systems with unknown bounded disturbances.First

the Takagi-Sugeno (T-S) fuzzy model is used to represent the state-space model for the nonlinear discrete-time systems.Sufficient condition for the existence of fuzzy

H

∞

filter based on T-S fuzzy model is established when modelling error is considered during the design process of filter by S-procedure

which reduces the conservativeness of the design of filter.According to some nature of linear matrix inequality (LMI)

the design of fuzzy

I

∞

filter is turned into the feasible problem of LMI

which can be efficiently solved using convex optimization techniques such as the interior point algorithm.Simulation results show that th

e proposed design method for filter is effective.