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In order to deal with random communication time delay in Networked Control Systems(NCS), an explicit model predictive control (eMPC) method is presented in this paper. The algorithm is based on multi-parametric quadratic programming to get a state feedback control law which is explicit to the states. And based on this control law, the piecewise affine model of the closed-loop model predictive control system is established. We show that the control law is piecewise linear and continuous for the finite horizon problem. Thus, the on-line control computation reduces to the simple evaluation of a piecewise affine model. Since the algorithm does not require repeated online optimization, it improves the on-line calculation speed of the controller, making the system better in real-time. The algorithm deals with the random communication time delay well. Simulation results show the effectiveness of the proposed method.