New approach to stabilisation of networked control systems with time-varying delays

The stabilisation problem is studied for networked control systems (NCSs) with time-varying delays that may be longer than one sampling period. State feedback controllers are considered and the resulting closed-loop NCS is modelled as a discrete-time switched system. Criteria for exponential stability for the closed-loop NCS and design procedures for stabilising controllers are presented by using the approach that combines the average dwell time and asynchronous dynamic system methods. In the cases where the network-induced delays are small most of the time and large delays do not occur frequently, the proposed design method for the NCS may provide less conservative results than some other existing ones. An illustrative example is given to show the effectiveness of the proposed method.