Modeling and control of networked control systems with random network-induced delay and packet-dropout

This paper studies the stability of networked control systems. The characteristics of random packet-dropout are firstly described as the Markov stochastic process, and a model of discrete-time jump systems with uncertain parameters is then established. Based on the theory of Lyapunov stability and stochastic process with the elements of the Markov transition probability matrix partly unknown (even all elements are unknown), the time-varying controller, which depends on the characteristics of packet-dropout and meets the requirement of stochastic mean square stability, is designed. Lastly a numerical example is given to illustrate the effectiveness and superiority of the proposed approach.