Event-triggered sliding mode control under the Round-Robin protocol for networked switched systems

The event-triggered sliding mode control problem is addressed for a class of networked switched systems subject to communication constraints. Not only the problem of network congestion, but also the problem of data collision is taken into account. In order to lighten network overloads and save bandwidth, an event-triggered scheme is utilized to decide whether a datum is transmitted or not and the Round-Robin protocol is employed to determine the priority of the actuator at a certain instant, which is a novel attempt to the sliding mode control problem for networked switched systems. Sufficient conditions are established such that the closed-loop system with sliding mode dynamics is exponentially stable. An event-based sliding mode control law is constructed under the Round-Robin protocol to drive the system trajectory into a bounded sliding vicinity around the sliding surface. Finally, a numerical example is given to demonstrate the effectiveness of the developed methods.