H∞ & H2 almost state synchronization with full-state coupling for homogeneous multi-agent systems

Antonie Arij Stoorvogel; Ali Saberi; Meirong Zhang; Francesco  Acciani

doi:10.1109/CDC.2017.8264568

H∞ & H2 almost state synchronization with full-state coupling for homogeneous multi-agent systems

Antonie Arij Stoorvogel, Ali Saberi, Meirong Zhang, Francesco Acciani

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Abstract

This paper studies the H∞ and H2 almost state synchronization problem for homogeneous multi-agent systems with general linear agents affected by external disturbances and a directed communication topology. Agents are connected via diffusive full-state coupling, i.e. agents are coupled through states. A necessary and sufficient condition is developed for the solvability of the H∞ and H2 almost state synchronization problem. Moreover, a family of static protocols are developed such that the impact of disturbances on the network disagreement dynamics, expressed in terms of the H∞ and H2 norm of the corresponding closed-loop transfer function, is reduced to any arbitrarily small value. The protocol design is based on two methods: algebraic Riccati equation (ARE) or asymptotic time-scale eigenstructure assignment (ATEA).

Original language	English
Pages	6009-6014
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2017.8264568
Publication status	Published - 12 Dec 2017
Event	56th IEEE Annual Conference on Decision and Control, CDC 2017 - Melbourne Convention Center, Melbourne, Australia Duration: 12 Dec 2017 → 15 Dec 2017 Conference number: 56 http://cdc2017.ieeecss.org/

Conference

Conference	56th IEEE Annual Conference on Decision and Control, CDC 2017
Abbreviated title	CDC 2017
Country/Territory	Australia
City	Melbourne
Period	12/12/17 → 15/12/17
Internet address	http://cdc2017.ieeecss.org/

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title = "H∞ & H2 almost state synchronization with full-state coupling for homogeneous multi-agent systems",

abstract = "This paper studies the H∞ and H2 almost state synchronization problem for homogeneous multi-agent systems with general linear agents affected by external disturbances and a directed communication topology. Agents are connected via diffusive full-state coupling, i.e. agents are coupled through states. A necessary and sufficient condition is developed for the solvability of the H∞ and H2 almost state synchronization problem. Moreover, a family of static protocols are developed such that the impact of disturbances on the network disagreement dynamics, expressed in terms of the H∞ and H2 norm of the corresponding closed-loop transfer function, is reduced to any arbitrarily small value. The protocol design is based on two methods: algebraic Riccati equation (ARE) or asymptotic time-scale eigenstructure assignment (ATEA).",

author = "Stoorvogel, {Antonie Arij} and Ali Saberi and Meirong Zhang and Francesco Acciani",

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doi = "10.1109/CDC.2017.8264568",

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T1 - H∞ & H2 almost state synchronization with full-state coupling for homogeneous multi-agent systems

AU - Stoorvogel, Antonie Arij

AU - Saberi, Ali

AU - Zhang, Meirong

AU - Acciani, Francesco

N1 - Conference code: 56

PY - 2017/12/12

Y1 - 2017/12/12

N2 - This paper studies the H∞ and H2 almost state synchronization problem for homogeneous multi-agent systems with general linear agents affected by external disturbances and a directed communication topology. Agents are connected via diffusive full-state coupling, i.e. agents are coupled through states. A necessary and sufficient condition is developed for the solvability of the H∞ and H2 almost state synchronization problem. Moreover, a family of static protocols are developed such that the impact of disturbances on the network disagreement dynamics, expressed in terms of the H∞ and H2 norm of the corresponding closed-loop transfer function, is reduced to any arbitrarily small value. The protocol design is based on two methods: algebraic Riccati equation (ARE) or asymptotic time-scale eigenstructure assignment (ATEA).

AB - This paper studies the H∞ and H2 almost state synchronization problem for homogeneous multi-agent systems with general linear agents affected by external disturbances and a directed communication topology. Agents are connected via diffusive full-state coupling, i.e. agents are coupled through states. A necessary and sufficient condition is developed for the solvability of the H∞ and H2 almost state synchronization problem. Moreover, a family of static protocols are developed such that the impact of disturbances on the network disagreement dynamics, expressed in terms of the H∞ and H2 norm of the corresponding closed-loop transfer function, is reduced to any arbitrarily small value. The protocol design is based on two methods: algebraic Riccati equation (ARE) or asymptotic time-scale eigenstructure assignment (ATEA).

U2 - 10.1109/CDC.2017.8264568

DO - 10.1109/CDC.2017.8264568

M3 - Paper

SP - 6009

EP - 6014

T2 - 56th IEEE Annual Conference on Decision and Control, CDC 2017

Y2 - 12 December 2017 through 15 December 2017

ER -

H∞ & H2 almost state synchronization with full-state coupling for homogeneous multi-agent systems

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