$$L_2$$ Leader-Following Consensus of Second-Order Nonlinear Multi-agent Systems with Disturbances Under Directed Topology via Event-Triggered Control Scheme

Author(s):  
Yuanhong Ren ◽  
Wuneng Zhou ◽  
Zhiwei Li ◽  
Yuqing Sun
2018 ◽  
Vol 8 (4) ◽  
pp. 293-302 ◽  
Author(s):  
Bin Xu ◽  
Wangli He

Abstract This paper is concerned with cluster consensus of linear multi-agent systems via a distributed event-triggered control scheme. Assume that agents can be split into several clusters and a leader is associated with each cluster. Sufficient conditions are derived to guarantee the realization of cluster consensus by a feasible event-triggered controller if the network topology of each cluster has a directed spanning tree and the couplings within each cluster are sufficiently strong. Further, positive inner-event time intervals are ensured for the proposed event-triggered strategy to avoid Zeno behaviors. Finally, a numerical example is given to illustrate the effectiveness of the theoretical results.


Sensors ◽  
2021 ◽  
Vol 21 (12) ◽  
pp. 4059
Author(s):  
Tao Li ◽  
Quan Qiu ◽  
Chunjiang Zhao

This paper presents the communication strategy for second-order multi-agent systems with nonlinear dynamics. To address the problem of the scarcity of communication channel resources and get rid of using continuous signals among the followers in lead-follower multi-agent systems, a novel event-triggered communication mechanism is proposed in this paper. To avoid employing the centralized information that depends on the Laplacian matrix spectrum, a network protocol with updated coupling gains is proposed, as well as an event-triggered strategy with updated thresholds. To eliminate the ill effects of inter-node communicating noise, relative positions are employed by the protocol instead of absolute positions. By a Lyapunov–Krasovskii functional, it is rigorously proven that the leader-following consensus of MASs is achieved without Zeno behavior, under the control of the proposed protocol with an event-triggered mechanism communication. The effectiveness of the proposed protocol is verified through numerical examples.


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