Dynamical output feedback PI control of NCS with multiple-packet transmission

In this paper, exponential stability and dynamical output feedback proportion-integral (PI) controller design for networked control system (NCS) with multiple-packet transmission are discussed. Considering the existence of time-delay and packet dropout, the model of NCS with multiple-packet transmission and dynamical output feedback PI control 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 semi-negative definite matrix conditions of exponential stability and PI controller design method for the NCS are presented. Furthermore, a numerical example is given to illustrate the feasibility of the proposed stability conditions and controller design method.