Stability of Singular NCS with Time-Varying Delay and State Feedback

Exponential stability and controller design of status feedback singular networked control system (NCS) with dropped out packets and time-varying delay are studied. The singular NCS with data packet dropout is modeled as an asynchronous dynamical system (ADS) constrained by event rates. Based on the theory of ADS, Lyapunov stability theory and linear matrix inequality method, the semi-negative definite matrix conditions of exponential stability and the status feedback controller design method for the singular NCS are presented. Numerical example shows that the negative semi-definite matrix conditions of exponential stability and the controller design method are feasible.