Networkdecentralized control strategies for stabilization
(2015) In IEEE Transactions on Automatic Control 60(2). p.491496 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 networkdecentralized, i.e., they use information exclusively from the nodes they interconnect. This condition requires a blockstructured 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 networkdecentralized, i.e., they use information exclusively from the nodes they interconnect. This condition requires a blockstructured 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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 author
 Blanchini, Franco; Franco, Elisa and Giordano, Giulia ^{LU}
 publishing date
 20150201
 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
 IEEEInstitute of Electrical and Electronics Engineers Inc.
 external identifiers

 Scopus:84921819695
 ISSN
 00189286
 DOI
 10.1109/TAC.2014.2331415
 language
 English
 LU publication?
 no
 id
 b20c432f8c07432187de127b4d84494c
 date added to LUP
 20160706 15:17:23
 date last changed
 20170108 05:56:17
@article{b20c432f8c07432187de127b4d84494c, 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 networkdecentralized, i.e., they use information exclusively from the nodes they interconnect. This condition requires a blockstructured 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 = {00189286}, keyword = {Linearmatrix inequalities (LMIs),network analysis and control,network decentralized control,state feedback}, language = {eng}, month = {02}, number = {2}, pages = {491496}, publisher = {IEEEInstitute of Electrical and Electronics Engineers Inc.}, series = {IEEE Transactions on Automatic Control}, title = {Networkdecentralized control strategies for stabilization}, url = {http://dx.doi.org/10.1109/TAC.2014.2331415}, volume = {60}, year = {2015}, }