Stabilization of Consensus and Balanced Configurations on the Circle with Ring Topology and Heterogeneous Input Delays

Eric A. Butcher

doi:10.1016/j.ifacol.2022.11.349

Stabilization of Consensus and Balanced Configurations on the Circle with Ring Topology and Heterogeneous Input Delays

Research output: Contribution to journal › Conference article › peer-review

Abstract

The stabilization of consensus or balanced configurations on the circle for a single integrator multi-agent system with heterogeneous input delays and fixed undirected ring communication topology is addressed with globally continuous control using a feedback reshaping strategy to destabilize locally stable nonconsensus configurations in the Kuramoto model while ensuring the input delay is below the Hopf instability threshold. Simulations show the desired configuration is almost globally stabilized for a maximum number N of agents while the region of attraction is enlarged for higher N. Consensus stabilization of natural Kuramoto dynamics using delayed nonlinear feedback control is also proposed.

Original language	English (US)
Pages (from-to)	151-156
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	55
Issue number	36
DOIs	https://doi.org/10.1016/j.ifacol.2022.11.349
State	Published - 2022
Event	17th IFAC Workshop on Time Delay Systems, TDS 2022 - Montreal, Canada Duration: Sep 27 2022 → Sep 30 2022

Keywords

Input delay
Kuramoto model
balancing
consensus
feedback reshaping
ring topology

ASJC Scopus subject areas

Control and Systems Engineering

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10.1016/j.ifacol.2022.11.349

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title = "Stabilization of Consensus and Balanced Configurations on the Circle with Ring Topology and Heterogeneous Input Delays",

abstract = "The stabilization of consensus or balanced configurations on the circle for a single integrator multi-agent system with heterogeneous input delays and fixed undirected ring communication topology is addressed with globally continuous control using a feedback reshaping strategy to destabilize locally stable nonconsensus configurations in the Kuramoto model while ensuring the input delay is below the Hopf instability threshold. Simulations show the desired configuration is almost globally stabilized for a maximum number N of agents while the region of attraction is enlarged for higher N. Consensus stabilization of natural Kuramoto dynamics using delayed nonlinear feedback control is also proposed.",

keywords = "Input delay, Kuramoto model, balancing, consensus, feedback reshaping, ring topology",

author = "Butcher, {Eric A.}",

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AU - Butcher, Eric A.

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AB - The stabilization of consensus or balanced configurations on the circle for a single integrator multi-agent system with heterogeneous input delays and fixed undirected ring communication topology is addressed with globally continuous control using a feedback reshaping strategy to destabilize locally stable nonconsensus configurations in the Kuramoto model while ensuring the input delay is below the Hopf instability threshold. Simulations show the desired configuration is almost globally stabilized for a maximum number N of agents while the region of attraction is enlarged for higher N. Consensus stabilization of natural Kuramoto dynamics using delayed nonlinear feedback control is also proposed.

KW - Input delay

KW - Kuramoto model

KW - balancing

KW - consensus

KW - feedback reshaping

KW - ring topology

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VL - 55

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EP - 156

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

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T2 - 17th IFAC Workshop on Time Delay Systems, TDS 2022

Y2 - 27 September 2022 through 30 September 2022

ER -

Stabilization of Consensus and Balanced Configurations on the Circle with Ring Topology and Heterogeneous Input Delays

Abstract

Keywords

ASJC Scopus subject areas

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