Learning nonlinear dynamics in synchronization of knowledge-based leader-following networks

  • Shimin WANG
  • , Xiangyu MENG
  • , Hongwei ZHANG*
  • , Frank L. LEWIS
  • *Corresponding author for this work

Research output: Journal PublicationsJournal Article (refereed)peer-review

Abstract

Knowledge-based leader-following synchronization of heterogeneous nonlinear multi-agent systems is a challenging problem since the leader's dynamic information is unknown to any follower node. This paper proposes a learning-based fully distributed observer for a class of nonlinear leader systems, which can simultaneously learn the leader's dynamics and states. This class of leader dynamics is rather general and does not require a bounded Jacobian matrix. Based on this learning-based distributed observer, we further synthesize an adaptive distributed control law for solving the leader-following synchronization problem of multiple Euler–Lagrange systems subject to an uncertain nonlinear leader system. The results are illustrated by a simulation example.

Original languageEnglish
Article number111695
Number of pages9
JournalAutomatica
Volume166
Early online date4 May 2024
DOIs
Publication statusPublished - Aug 2024
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2024 Elsevier Ltd

Funding

This work was supported by the Guangdong Basic and Applied Basic Research Foundation under project 2023A1515011981, Shenzhen Science and Technology Program under project GXWD20231129102406001, National Natural Science Foundation of China under project 62073158, and the NSERC, Canada.

Keywords

  • Distributed observer
  • Euler–Lagrange system
  • Multi-agent system
  • Parameter estimation
  • Synchronization

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