Explicit model predictive control of networked control systems with packet dropout

In order to estimate the packet dropout in Networked Control Systems (NCS), this paper presents an explicit model predictive control. We firstly transform the model for networked control systems with data packet dropout into piecewise affine form. Then we solve a constrained optimal control problem with PWA model. By using the method of explicit predictive control, which is based on multi-parametric quadratic programming method, we get a state feedback control law which is explicit to the states. Based on this control law, we show that the control law is piece-wise 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 line optimization, it improves the on-line calculation speed of the controller, making the system better real-time. The algorithm deals with the data packet dropout well. Simulation results show the effectiveness of the method.