A Robust Control Approach to Network Control Systems with Short Time Delays

Abstract

Network control system (NCS) is developed from the cross-integration of network technology and control technology, which is with advantages of sharing resources, low price, light weight, easy installation and maintenance, low energy consumption and so on. A robust control approach is proposed in this paper to solve the stabilization problem for networked control systems (NCS) with short time-varying delays. By considering state feedback controllers, the closed-loop NCS is described as a discrete-time linear uncertain system model. 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.