Abstract: In this study what is to be controlled is the NCS (networked control system) of a singular control system. A discrete singular control system model with uncertainty and time-delay input is thus developed, where the sensor/actuator is time-driven with controller event-driven and the network-induced time-delay is shorter than a sampling cycle. The conditions of system stability are given by means of Lyapunov function and LMI, and a controller is designed satisfying both system stability and H∞ control state feedback to study the robust H∞ control. A simulation as example is given to verify the validity of the approach proposed.