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Event-Triggered Consensus of Uncertain Euler–Lagrange Multiagent Systems Over Jointly Connected Digraphs

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Abstract

In this article, a fully distributed event-triggered protocol is proposed to solve the consensus problem of uncertain Euler–Lagrange (EL) multiagent systems (MASs) under jointly connected digraphs. First, distributed event-based reference generators are proposed to generate continuously differentiable reference signals via event-based communication under jointly connected digraphs. Unlike some existing works, only the states of agents rather than virtual internal reference variables need to be transmitted among agents. Second, adaptive controllers are exploited based on the reference generators so that each agent can track the reference signals. The uncertain parameters converge to their real values under an initially exciting (IE) assumption. It is proved that the uncertain EL MAS achieves state consensus asymptotically under the proposed event-triggered protocol composed of the reference generators and the adaptive controllers. A unique feature of the proposed event-triggered protocol is its fully distributed property: the protocol does not depend on global information about the jointly connected digraphs. Meanwhile, a minimum interevent time (MIET) is guaranteed. Finally, two simulations are conducted to show the validity of the proposed protocol. © 2023 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.
Original languageEnglish
Pages (from-to)3479-3490
JournalIEEE Transactions on Cybernetics
Volume54
Issue number6
Online published21 Jun 2023
DOIs
Publication statusPublished - Jun 2024

Funding

This work was supported in part by the National Natural Science Foundation of China under Grant 61773327 and Grant 62222318, and in part by the Research Grants Council of the Hong Kong Special Administrative Region of China under Project CityU/11210222.

Research Keywords

  • Adaptive
  • consensus
  • Euler–Lagrange (EL)
  • event-triggered protocol
  • fully distributed
  • Generators
  • jointly connected digraphs
  • Laplace equations
  • Multi-agent systems
  • multiagent systems (MASs)
  • Network topology
  • Protocols
  • Switches
  • Topology
  • uncertain

Publisher's Copyright Statement

  • COPYRIGHT TERMS OF DEPOSITED POSTPRINT FILE: © 2023 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. Hao, Y., & Liu, L. (2023). Event-Triggered Consensus of Uncertain Euler–Lagrange Multiagent Systems Over Jointly Connected Digraphs. IEEE Transactions on Cybernetics. Advance online publication. https://doi.org/10.1109/TCYB.2023.3282703

RGC Funding Information

  • RGC-funded

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