Stability analysis of networked control systems with aperiodic sampling

This paper is concerned with stability analysis of networked control systems with aperiodic sampling and time-varying delay. The sampling times are assumed to vary within a known interval. The network-induced delay is assumed to belong to a given interval. The closed-loop system is modeled as a system with two time-delays and norm-bounded uncertainties coming from variations of sampling intervals. Using common Lyapunov function approach, a sufficient stability condition for the closed-loop system is derived and presented in terms of linear matrix inequality (LMI). A numerical example is given to illustrate the effectiveness of the proposed method.