H∞ filtering for discrete fuzzy stochastic systems with randomly occurred sensor nonlinearities

The problem of H∞ filtering for a class of discrete T-S fuzzy stochastic systems with randomly occurred sensor nonlinearities is investigated in this paper. By introducing a general sector-bounded nonlinear decomposition method and a Bernoulli random binary distribution approach, we deal with the nonlinearities and missing measurements, which are induced by the limitation of communication networks. Sufficient conditions are established to ensure that the error system is stochastically stable and has a guaranteed H∞ attenuation level. Furthermore, an explicit expression of the desired filter is also given. Two numerical results are finally employed to demonstrate the merits and applicabilities of the proposed approach.