Multilayer proportional-integral consensus of heterogeneous multi-agent systems

Daniel Burbano; Mario Di Bernardo

doi:10.1109/CDC.2015.7402977

Multilayer proportional-integral consensus of heterogeneous multi-agent systems

Daniel Burbano, Mario Di Bernardo

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

4 Citations (Scopus)

335 Downloads (Pure)

Abstract

A distributed proportional-integral multilayer strategy is proposed, to achieve consensus in networks of heterogeneous first-order linear systems. The closed-loop network can be seen as an instance of so-called multiplex networks currently studied in network science. The strategy is able to guarantee consensus, even in the presence of constant disturbances and heterogeneous node dynamics. Contrary to previous approaches in the literature, the proportional and integral actions are deployed here on two different layers across the network, each with its own topology. Explicit expressions for the consensus values are obtained together with sufficient conditions guaranteeing convergence. The effectiveness of the theoretical results are illustrated via numerical simulations using a power network example.

Original language	English
Title of host publication	54th IEEE Conference on Decision and Control (CDC)
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Number of pages	6
ISBN (Electronic)	9781479978861, 9781479978847, 9781479978854
DOIs	https://doi.org/10.1109/CDC.2015.7402977
Publication status	Published - 11 Feb 2016

Research Groups and Themes

Engineering Mathematics Research Group

Keywords

Multiplexing
Laplace equations
Decentralised control
Nonhomogeneous media
Power system dynamics
Convergence
Eigenvalues and eigenfunctions

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10.1109/CDC.2015.7402977

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title = "Multilayer proportional-integral consensus of heterogeneous multi-agent systems",

abstract = "A distributed proportional-integral multilayer strategy is proposed, to achieve consensus in networks of heterogeneous first-order linear systems. The closed-loop network can be seen as an instance of so-called multiplex networks currently studied in network science. The strategy is able to guarantee consensus, even in the presence of constant disturbances and heterogeneous node dynamics. Contrary to previous approaches in the literature, the proportional and integral actions are deployed here on two different layers across the network, each with its own topology. Explicit expressions for the consensus values are obtained together with sufficient conditions guaranteeing convergence. The effectiveness of the theoretical results are illustrated via numerical simulations using a power network example.",

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AU - Di Bernardo, Mario

PY - 2016/2/11

Y1 - 2016/2/11

N2 - A distributed proportional-integral multilayer strategy is proposed, to achieve consensus in networks of heterogeneous first-order linear systems. The closed-loop network can be seen as an instance of so-called multiplex networks currently studied in network science. The strategy is able to guarantee consensus, even in the presence of constant disturbances and heterogeneous node dynamics. Contrary to previous approaches in the literature, the proportional and integral actions are deployed here on two different layers across the network, each with its own topology. Explicit expressions for the consensus values are obtained together with sufficient conditions guaranteeing convergence. The effectiveness of the theoretical results are illustrated via numerical simulations using a power network example.

AB - A distributed proportional-integral multilayer strategy is proposed, to achieve consensus in networks of heterogeneous first-order linear systems. The closed-loop network can be seen as an instance of so-called multiplex networks currently studied in network science. The strategy is able to guarantee consensus, even in the presence of constant disturbances and heterogeneous node dynamics. Contrary to previous approaches in the literature, the proportional and integral actions are deployed here on two different layers across the network, each with its own topology. Explicit expressions for the consensus values are obtained together with sufficient conditions guaranteeing convergence. The effectiveness of the theoretical results are illustrated via numerical simulations using a power network example.

KW - Multiplexing

KW - Laplace equations

KW - Decentralised control

KW - Nonhomogeneous media

KW - Power system dynamics

KW - Convergence

KW - Eigenvalues and eigenfunctions

U2 - 10.1109/CDC.2015.7402977

DO - 10.1109/CDC.2015.7402977

M3 - Conference Contribution (Conference Proceeding)

BT - 54th IEEE Conference on Decision and Control (CDC)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

Multilayer proportional-integral consensus of heterogeneous multi-agent systems

Abstract

Research Groups and Themes

Keywords

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