Packet dropout separation-based networked control systems quantitative synthesis

This paper is concerned with quantitative analysis and synthesis for continuous-time networked control systems (NCSs) with packet dropouts and interval time-varying sampling period. A new packet dropout separation method is proposed to separate packet dropouts from the sum of network induced delay and packet dropouts, and an interval time varying sampling period approach is presented to model the variation of sampling period. Then, a novel packet dropout decomposition based Lyapunov functional is constructed, and the quantitative relationships between packet dropout probabilityand stability and stabilization of NCSs are established. A numerical example is given to illustrate the merits and effectiveness of the proposed methods.