Exponential Stability for Singular Networked Control System with Dynamical State Feedback

This study deals with the model, exponential stability and controller design problems of singular networked control system (NCS). Two new control methods of dynamical state feedback control and dynamical state feedback proportional-integral (PI) control for the NCS with time-delay and data packet dropout are addressed. Using two new control methods, the singular NCS is modeled as an asynchronous dynamical system (ADS) constrained by event rates. Furthermore, based on the ADS theory, principle of Lyapunov stability and method of linear matrix inequality, the semi-negative definite matrix conditions of exponential stability, the dynamical state feedback controller and the dynamical state feedback PI controller design for the NCS are given. Finally, numerical examples illustrate the feasibility of the proposed control methods of dynamical state feedback control and dynamical state feedback PI control, semi-negative definite matrix conditions of exponential stability and the controller design.