Exponential stability of NCS with time-varying delay and multiple-packet transmission

This study was carried out to explore the model, exponential stability and controller design of dynamical output feedback networked control systems (NCS) with time-varying delays and multiple-packet transmission. Considering the existence of time-delay and packet dropout in sensor-to-controller and controller-to-actuator, a model of NCS with multiple-packet transmission and dynamical output feedback is constructed, 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 semi-negative definite matrix conditions of exponential stability and the dynamical output feedback controller design method for the NCS with multiple-packet transmission and dynamical output feedback are presented. Numerical examples show that the semi-negative definite matrix conditions of exponential stability and the controller design method are feasible.