A state feedback controller for uncertain networked control systems

A mathematical model and a state feedback controller for uncertain networked control systems with disturbances and short random delays are investigated in this paper. The uncertainty of transmission delay is translated into the uncertainty of coefficient matrix in the model, and the uncertainty parameter is described by a Poisson distribution function. Then, by using the Lyapunov stability theory and linear matrix inequality, the stability of the uncertain networked control with disturbances is proved. A numerical example with two initial conditions case is given where the optimal solution in the different states is solved. Simulation results show the rationality and applicability of the proposed method.