Distributed finite-time bipartite consensus of multi-agent systems via event-triggered control

Funding Information: The work was supported by the National Natural Science Foundation of China (Grant Nos. 51879022, 91648120, 61633002, 51575005, 61503008), the Beijing Natural Science Foundation (No. 4192026), the Fundamental Research Funds for the Central Universities (Grants Nos. 3132019037, 3132019197) and the Academy of Finland (Grant No. 315660). Jin Tao and Mingyi Xu are corresponding authors. Publisher Copyright: © 2020 Elsevier B.V.. All rights reserved. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.This paper investigates a distributed finite-time event-triggered bipartite consensus control for multi-agent systems. Under scenarios of energy limitation, an event-triggered strategy coupled with a nonlinear distributed control protocol is proposed only relying on local information, where the controller only updates at triggered instants. We proved that when the antagonistic network contains a spanning tree, the event-triggered controller can drive all agents to reach consensus value with an identical magnitude but opposite signs. Moreover, both the convergence time depending on the initial state and the positive lower bound of inter-event times are achieved. Simulation results show that the proposed controller has better disturbance rejection properties and can achieve bipartite consensus faster compared to an asymptotic controller. Copyright (C) 2020 The Authors.Peer reviewe