This paper is concerned with the problems of H∞ control for networked control systems with communication constraints. An improved networked control system model is proposed, while the effects of logarithmic quantization, packet dropout, delay and probabilistic sensor fault are considered simultaneously. Sufficient condition for the stochastic stability of the closed-loop system is given in terms of linear matrix inequality. A controller is designed such that the closed-loop system is stochastic stable and achieves the given disturbance attenuation level. Numerical example illustrates the effectiveness of the proposed method.