Distributed Consensus Control of Multiple Lur’e Nonlinear Systems with Event-Triggered Transmission Strategy under Directed Switching Topologies

In this paper, we consider the distributed event-triggered consensus problem of multiple Lur'e nonlinear systems under directed switching topologies. A novel distributed event-triggered consensus strategy with the state-dependent threshold is proposed such that the states of all agents achieve consensus with zero final consensus error. There are several notable features in the proposed algorithm. Firstly, the parameters of control strategy depend on only local information. Then, continuous or periodic communication among agents is not required. Last not the least, there is no need to keep continuous access to neighbors' states in the triggering condition detection. Additionally, the exclusion of Zeno behavior is proved. Finally, the theoretical analysis is illustrated by simulations.