Stabilization of non-uniform sampling networked control systems

This paper is concerned with controller design for continuous-time networked control systems (NCSs) under consideration of non-uniformly distributed time-varying sampling periods, network-induced delays and packet dropouts. By taking the non-uniformly distributed time-varying sampling periods into consideration, a new closed-loop model for an NCS is presented. A Lyapunov functional is proposed to derive the stabilization criteria. Even for an NCS considering a constant sampling period, the proposed modelling and design method is still applicable. A numerical example is given to illustrate the merits and effectiveness of the obtained results.