A Robust Control Approach to Stabilization of Networked Control Systems with Short Time-varying Delays

Abstract

Abstract A robust control approach is proposed in this paper to solve the stabilization problem for networked control systems (NCSs) with short time-varying delays. By considering state feedback controllers, the closed-loop NCS is described as a discrete-time linear uncertain system model, and the uncertain part reflects the effect of the variation nature of the network-induced delays on the system dynamics. Then, the asymptotic stability condition for the obtained closed-loop NCS is derived, which establishes the quantitative relation between the stability of the closed-loop NCS and two delay parameters, namely, the allowable delay upper bound (ADB) and the allowable delay variation range (ADVR). Furthermore, design procedures for the stabilizing controllers are also presented. An illustrative example is finally given to demonstrate the effectiveness of the proposed method.