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The reliable Hinfin control problem for time-varying delayed discrete-time systems is proposed for the case of a simultaneous presence of sensor failures. A more practical general mode of sensor is presented to investigate sensor failures. Based on a linear matrix inequality (LMI) technique, an observer-based reliable controller is designed, such that, both in normal and fault cases of sensor, the closed-loop system is asymptotically stable and has an Hinfin disturbance attenuation boundness. A numerical example is presented to demonstrate the applicability and effectiveness of the proposed approach.