Stabilization control of deterministic networked control systems

Using the method of setting a special number of buffer in receiving nodes in networked control systems proposed in literature, the stochastic time delay in networked control systems can be transformed a a constant delay. Then the stochastic networked control systems can be transformed to a deterministic system, which will be valuable when the probability distribution function of network-induced delay is not known. Based on linear matrice inequality and Lyapunov functions, the necessary conditions for asymptotical stability for deterministic networked control systems are given when the controlled process is linear time invariant discrete-time process, the designing method of state feedback controller for deterministic networked control systems is proposed in this paper for the first time. A numerical example is given to verify the theory results in this paper.