Stability of Singular NCSs with Time-Varying Delay and Multiple-Packet Transmission

This paper deals with the problems of the modeling, exponential stability and controller design for singular networked control systems (NCSs) with time-varying delay and multiple-packet transmission. Considering the existence of time-delay and packet dropout, the model of singular NCS with multiple-packet transmission and dynamical output feedback is obtained, which is an asynchronous dynamical system (ADS) constrained by event rates. Based on the theory of ADS, Lyapunov stability theory and linear matrix inequality method, the negative semi-definite matrix conditions of exponential stability and controller design method for the singular NCSs with multiple-packet transmission are presented. Furthermore, a numerical example is given to illustrate the feasibility of the proposed semi-definite matrix conditions of exponential stability and controller design method.