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H∞ filtering for networked control systems with packet dropout subject to sensor nonlinearities for linear time-invariant discrete-time systems with bounded disturbances is discussed in this paper. The packet dropout is assumed to be existing in the sensor-to-controller link, and two independent Bernoulli distributed white sequences are used to describe the packet dropouts. H∞ filtering of this class of systems is used to design a filter to ensure the mean-square stability of the filtering error system and to guarantee a prescribed H∞ filtering performance. A sufficient condition for the existence of such a filter is presented in terms of the feasibility of a linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the proposed method.