Affine formation control for heterogeneous multi-agent systems with directed interaction networks

Yang Xu, Delin Luo, Dongyu Li, Yancheng You, Haibin Duan

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

Abstract

In this paper, affine formation control problems of heterogeneous multi-agent systems with linear dynamics are studied. As a novel method, the affine formation control has the ability to handle various movement constraints based on the affine transformation. A proportional-integral (PI)-type control scheme is proposed to ensure the effective affine formation control of the leader-following group with directed interaction graphs and successfully eliminate the steady-state errors. Sufficient conditions for the selection of control parameters are given and proved. Considering that the followers are subjected to the external bounded time-varying disturbances, the designed protocol shows good robustness and can guarantee uniformly ultimate boundedness of affine formation errors. Numerical simulations are carried out to verify the theoretical results.

Original languageEnglish
Pages (from-to)104-115
Number of pages12
JournalNeurocomputing
Volume330
DOIs
StatePublished - 22 Feb 2019
Externally publishedYes

Keywords

  • Affine formation control
  • Directed graph
  • Heterogeneous multi-agent systems
  • Robustness verification

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