Distributed Event-triggered Finite-time Consensus Control of Networked Lur'e Systems

This study focus on the event-triggered finite-time consensus (EFC) problem of a group of multiple Lur'e systems with nonlinear functions coupled by directed communication topologies. To realize the finite-time consensus, a novel distributed EFC controller is first designed with circumvent of the requirement on global agents' state information. Then, by designing an external variable possessing its own dynamics, a novel triggering threshold is proposed which is endowed as a feature of converging to zero with a finite-time rate. Within the proposed EFC control protocol, finite-time consensus can be reached meanwhile continuous neighbouring state transmission is avoided, which significantly reduces communication resource consumption. Simulations by using a group of Chua's circuits is presented to verify the availability of the proposed protocol.