Stability and controller design for networked control system with bi-feedback

This paper concerns the problems of the model, stability and controller design for networked control system (NCS) with dynamical bi-feedback. For NCS with time-delay and packet dropout, two kinds of new control methods, which are dynamical bi-feedback control and dynamical bi-feedback proportion-integral (PI) control, are proposed. The bi-feedback NCS with time-delay and 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 controller design method for the NCS with time-delay and packet dropout based on dynamical bi-feedback are presented. Furthermore, numerical examples are given to illustrate the feasibility of the semi-negative definite matrix conditions of exponential stability and controller design method.