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Synchronization of Networks of Heterogeneous Agents With Common Nominal Behavior

Lovisari, Enrico LU and Kao, Chung-Yao (2015) In IEEE Transactions on Automatic Control 60(3). p.671-683
Abstract
This paper deals with the problem of synchronization in networks of heterogeneous agents with common nominal behavior. The agents are modeled as (possibly nonlinear) perturbed versions of a common SISO nominal LTI operator, and they are interconnected via a sparse memoryless interconnection operator, coherent with the communication graph underlying the network. The network is said to synchronize if the outputs of the agents tend to align along given directions, the most important case being consensus, or agreement. The paper provides a general result, based on IQCs, that ensures synchronization of the network with robustness w.r.t. uncertainties in the interconnection and in each agent's dynamics. Scalability issues are discussed in the... (More)
This paper deals with the problem of synchronization in networks of heterogeneous agents with common nominal behavior. The agents are modeled as (possibly nonlinear) perturbed versions of a common SISO nominal LTI operator, and they are interconnected via a sparse memoryless interconnection operator, coherent with the communication graph underlying the network. The network is said to synchronize if the outputs of the agents tend to align along given directions, the most important case being consensus, or agreement. The paper provides a general result, based on IQCs, that ensures synchronization of the network with robustness w.r.t. uncertainties in the interconnection and in each agent's dynamics. Scalability issues are discussed in the scenario where the interconnection operator is a constant normal matrix, yielding the generalization of the very popular linear consensus algorithm. The wide range of applicability of the proposed criterion is shown by providing synchronization conditions in some important examples. Whenever possible, graphical criteria are proposed for checking the required conditions. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Cooperative control, multi-agents systems, network analysis and control, synchronization
in
IEEE Transactions on Automatic Control
volume
60
issue
3
pages
671 - 683
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000350206000006
  • scopus:84923638369
ISSN
0018-9286
DOI
10.1109/TAC.2014.2346086
language
English
LU publication?
yes
id
713a4752-761c-416f-9e79-15556f2a49ea (old id 5300464)
date added to LUP
2015-04-24 11:01:45
date last changed
2017-11-05 03:54:05
@article{713a4752-761c-416f-9e79-15556f2a49ea,
  abstract     = {This paper deals with the problem of synchronization in networks of heterogeneous agents with common nominal behavior. The agents are modeled as (possibly nonlinear) perturbed versions of a common SISO nominal LTI operator, and they are interconnected via a sparse memoryless interconnection operator, coherent with the communication graph underlying the network. The network is said to synchronize if the outputs of the agents tend to align along given directions, the most important case being consensus, or agreement. The paper provides a general result, based on IQCs, that ensures synchronization of the network with robustness w.r.t. uncertainties in the interconnection and in each agent's dynamics. Scalability issues are discussed in the scenario where the interconnection operator is a constant normal matrix, yielding the generalization of the very popular linear consensus algorithm. The wide range of applicability of the proposed criterion is shown by providing synchronization conditions in some important examples. Whenever possible, graphical criteria are proposed for checking the required conditions.},
  author       = {Lovisari, Enrico and Kao, Chung-Yao},
  issn         = {0018-9286},
  keyword      = {Cooperative control,multi-agents systems,network analysis and control,synchronization},
  language     = {eng},
  number       = {3},
  pages        = {671--683},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Automatic Control},
  title        = {Synchronization of Networks of Heterogeneous Agents With Common Nominal Behavior},
  url          = {http://dx.doi.org/10.1109/TAC.2014.2346086},
  volume       = {60},
  year         = {2015},
}