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 probability and stability and stabilization of NCSs are established. A numerical example is given to illustrate the merits and effectiveness of the proposed methods.