Abstract: As for a class of networked control systems which have the bilateral random delay of sensor-to- controller and controller-to-actuator, the networked control systems were modeled as discrete-time jump systems with uncertain parameters by firstly partitioning the maximum possible delay value into a plurality of equal intervals, and then describing it as a stochastic process of a finite state Markov chain according to the jump characteristics of the delay in each interval. Considering the condition that the elements of the transition probability matrix of the Markov chain were partly unknown, the time-varying controller meeting the requirement of system stability was designed based on the theory of Lyapunov stability and stochastic process. Lastly, the simulation examples illustrate the effectiveness of the proposed method.

Key words: networked control systems, random delay, stochastic stability, time-varying controller, transition probability matrix