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Network-decentralized control strategies for stabilization

Blanchini, Franco; Franco, Elisa and Giordano, Giulia LU (2015) In IEEE Transactions on Automatic Control 60(2). p.491-496
Abstract

We consider the problem of stabilizing a class of systems formed by a set of decoupled subsystems (nodes) interconnected through a set of controllers (arcs). Controllers are network-decentralized, i.e., they use information exclusively from the nodes they interconnect. This condition requires a block-structured feedback matrix, having the same structure as the transpose of the overall input matrix of the system. If the subsystems do not have common unstable eigenvalues, we demonstrate that the problem is solvable. In the general case, we provide sufficient conditions for solvability. When subsystems are identical and each input agent controls a pair of subsystems with input matrices having opposite sign (flow networks), we prove that... (More)

We consider the problem of stabilizing a class of systems formed by a set of decoupled subsystems (nodes) interconnected through a set of controllers (arcs). Controllers are network-decentralized, i.e., they use information exclusively from the nodes they interconnect. This condition requires a block-structured feedback matrix, having the same structure as the transpose of the overall input matrix of the system. If the subsystems do not have common unstable eigenvalues, we demonstrate that the problem is solvable. In the general case, we provide sufficient conditions for solvability. When subsystems are identical and each input agent controls a pair of subsystems with input matrices having opposite sign (flow networks), we prove that stabilization is possible if and only if the system is connected with the external environment. Our proofs are constructive and lead to structured linear matrix inequalities (LMIs).

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Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Linearmatrix inequalities (LMIs), network analysis and control, network decentralized control, state feedback
in
IEEE Transactions on Automatic Control
volume
60
issue
2
pages
6 pages
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:84921819695
ISSN
0018-9286
DOI
10.1109/TAC.2014.2331415
language
English
LU publication?
no
id
b20c432f-8c07-4321-87de-127b4d84494c
date added to LUP
2016-07-06 15:17:23
date last changed
2017-08-20 05:00:26
@article{b20c432f-8c07-4321-87de-127b4d84494c,
  abstract     = {<p>We consider the problem of stabilizing a class of systems formed by a set of decoupled subsystems (nodes) interconnected through a set of controllers (arcs). Controllers are network-decentralized, i.e., they use information exclusively from the nodes they interconnect. This condition requires a block-structured feedback matrix, having the same structure as the transpose of the overall input matrix of the system. If the subsystems do not have common unstable eigenvalues, we demonstrate that the problem is solvable. In the general case, we provide sufficient conditions for solvability. When subsystems are identical and each input agent controls a pair of subsystems with input matrices having opposite sign (flow networks), we prove that stabilization is possible if and only if the system is connected with the external environment. Our proofs are constructive and lead to structured linear matrix inequalities (LMIs).</p>},
  articleno    = {6839000},
  author       = {Blanchini, Franco and Franco, Elisa and Giordano, Giulia},
  issn         = {0018-9286},
  keyword      = {Linearmatrix inequalities (LMIs),network analysis and control,network decentralized control,state feedback},
  language     = {eng},
  month        = {02},
  number       = {2},
  pages        = {491--496},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Automatic Control},
  title        = {Network-decentralized control strategies for stabilization},
  url          = {http://dx.doi.org/10.1109/TAC.2014.2331415},
  volume       = {60},
  year         = {2015},
}