Practical Distance-Based Formation Stabilization and Tracking of Nonholonomic Multi-agent Systems

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Abstract

This paper investigates practical distance-based formation stabilization and tracking issues for nonholonomic multi-agent systems (MASs). Firstly, the agent’s nonholonomic kinematics is represented as a left invariant system on a Lie group. Through the introduction of an auxiliary state and a virtual control guided by the transverse function method, the original system is effectively converted into a fully actuated one. Secondly, under the assumption of infinitesimal and minimal rigidity in the graph, a gradient-descent-based virtual controller is devised for the transformed MASs, facilitating practical rigid formation stabilization. Thirdly, a discontinuous distributed velocity estimator is designed for formation tracking. The nonholonomic MASs achieve the desired formation shape while effectively tracking the reference trajectory. Finally, the effectiveness of the proposed method is verified by numerical examples.

Original languageEnglish
Title of host publicationProceedings of 2023 7th Chinese Conference on Swarm Intelligence and Cooperative Control - Swarm Control Technologies
EditorsQing Wang, Xiwang Dong, Peng Song
PublisherSpringer Science and Business Media Deutschland GmbH
Pages415-426
Number of pages12
ISBN (Print)9789819733279
DOIs
StatePublished - 2024
Event7th Chinese Conference on Swarm Intelligence and Cooperative Control, CCSICC 2023 - Nanjing, China
Duration: 24 Nov 202327 Nov 2023

Publication series

NameLecture Notes in Electrical Engineering
Volume1205 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

Conference7th Chinese Conference on Swarm Intelligence and Cooperative Control, CCSICC 2023
Country/TerritoryChina
CityNanjing
Period24/11/2327/11/23

Keywords

  • formation control
  • multi-agent systems
  • nonholonomic constraints

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