Dynamic Event-Triggered Control Under the Round-Robin Protocol for 2-D Continuous System in Roesser Model

In this work, we address the issue of event-triggered control under the Round-Robin protocol (RRP) for a specific class of 2-D continuous system in Roesser model that is subject to communication constraints. Our approach not only considers network congestion but also takes into account the problem of data collision. To reduce network overloads and save bandwidth, we propose a dynamic event-triggered scheme that determines whether a datum should be transmitted or not. Additionally, RRP is utilized to assign priority to the actuator at a given moment. Sufficient conditions of performance are established to ensure the considered system is stable. Moreover, an event-based control law under the RRP is constructed. The effective of the proposed methods are demonstrated by a numerical example in the end.