Modeling and control of networked control systems with bounded delay and packet disordering

In this paper, modeling and stabilization of networked control systems are discussed. Considering the existence of packet disordering in information transmission, a new mathematical model is proposed to describe the dynamical characteristics of networked control systems with bounded network-induced delay. Different from the existing models, the number of delay items is time-varying in the model obtained. Combining Jensen inequality with free-weighting matrix technique, stability conditions of networked control systems are presented based on linear matrix inequality approach, such that a novel controller design method is obtained to deal with delay systems in which the number of delay items is time-varying. A numerical example is given to show the effectiveness of the proposed method.