Abstract: Via the analysis of the structure of networked control systems, it presents the linear mathematic model with stochastic delay and packet losses. Based on the model, the stochastic control problem with quadratic criteria of the networked control systems was analyzed. The expressions of optimal gain and optimal performance index were given. Ultimately, the stochastic control effect of networked control systems with delay and different probability of packet losses rate were compared by simulation. The simulation results of Matlab show the effectiveness of the stochastic control algorithm and the range of the critical value of the packet loss rate.

Key words: networked control systems； packet losses；optimal control