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A Unifying Framework for Robust Synchronization of Heterogeneous Networks via Integral Quadratic Constraints

Khong, Sei Zhen LU ; Lovisari, Enrico LU and Rantzer, Anders LU (2016) In IEEE Transactions on Automatic Control 61(5). p.1297-1309
Abstract

A general framework for analysing robust synchronization in large-scale heterogenous networks is proposed based on the theory of integral quadratic constraints (IQCs). Dynamic agents are represented as linear time-invariant single-input-single-output systems. The agents exchange information according to a sparse dynamical interconnection operator in order to achieve synchronization, where their outputs are steered to the same, possibly time-varying, signal. The main technical hindrance to applying IQCs in this context lies with the presence of the marginally stable dynamics which define the trajectory to which the agents' outputs synchronize. It is shown that by working with conditions defined on modified signal spaces of interest and... (More)

A general framework for analysing robust synchronization in large-scale heterogenous networks is proposed based on the theory of integral quadratic constraints (IQCs). Dynamic agents are represented as linear time-invariant single-input-single-output systems. The agents exchange information according to a sparse dynamical interconnection operator in order to achieve synchronization, where their outputs are steered to the same, possibly time-varying, signal. The main technical hindrance to applying IQCs in this context lies with the presence of the marginally stable dynamics which define the trajectory to which the agents' outputs synchronize. It is shown that by working with conditions defined on modified signal spaces of interest and exploiting the graph structure underlying the connections between the dynamic systems, IQC methods can be applied directly to synchronization analysis without recourse to loop transformations, which may obscure the inherent structural properties of the multi-agent networked systems. Decentralized and scalable conditions for synchronization are proposed within this setting. The IQC framework is demonstrated to unify and generalize some of the existing results in the literature, including certain Nyquist-type consensus certificates for time-delay systems. Moreover, it allows the role of feedback in robustness against uncertainty to be better manifested within the context of synchronization.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
consensus, distributed analysis, heterogeneous multi-agent networks, integral quadratic constraints, Synchronisation
in
IEEE Transactions on Automatic Control
volume
61
issue
5
pages
13 pages
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • Scopus:84964598961
ISSN
0018-9286
DOI
10.1109/TAC.2016.2545118
language
English
LU publication?
yes
id
4643c1a5-1808-4c17-a912-9fe4e6cf7909
date added to LUP
2016-09-29 11:07:36
date last changed
2016-09-29 11:07:36
@misc{4643c1a5-1808-4c17-a912-9fe4e6cf7909,
  abstract     = {<p>A general framework for analysing robust synchronization in large-scale heterogenous networks is proposed based on the theory of integral quadratic constraints (IQCs). Dynamic agents are represented as linear time-invariant single-input-single-output systems. The agents exchange information according to a sparse dynamical interconnection operator in order to achieve synchronization, where their outputs are steered to the same, possibly time-varying, signal. The main technical hindrance to applying IQCs in this context lies with the presence of the marginally stable dynamics which define the trajectory to which the agents' outputs synchronize. It is shown that by working with conditions defined on modified signal spaces of interest and exploiting the graph structure underlying the connections between the dynamic systems, IQC methods can be applied directly to synchronization analysis without recourse to loop transformations, which may obscure the inherent structural properties of the multi-agent networked systems. Decentralized and scalable conditions for synchronization are proposed within this setting. The IQC framework is demonstrated to unify and generalize some of the existing results in the literature, including certain Nyquist-type consensus certificates for time-delay systems. Moreover, it allows the role of feedback in robustness against uncertainty to be better manifested within the context of synchronization.</p>},
  author       = {Khong, Sei Zhen and Lovisari, Enrico and Rantzer, Anders},
  issn         = {0018-9286},
  keyword      = {consensus,distributed analysis,heterogeneous multi-agent networks,integral quadratic constraints,Synchronisation},
  language     = {eng},
  month        = {05},
  number       = {5},
  pages        = {1297--1309},
  publisher    = {ARRAY(0x93010d8)},
  series       = {IEEE Transactions on Automatic Control},
  title        = {A Unifying Framework for Robust Synchronization of Heterogeneous Networks via Integral Quadratic Constraints},
  url          = {http://dx.doi.org/10.1109/TAC.2016.2545118},
  volume       = {61},
  year         = {2016},
}