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Structured-LMI conditions for stabilizing network-decentralized control

Bianchini, Franco; Franco, Elisa and Giordano, Giulia LU (2013) 52nd IEEE Conference on Decision and Control, CDC 2013 In 52nd Annual Conference on Decision and Control (CDC 2013) p.6880-6885
Abstract

In this paper we consider a set of dynamically decoupled systems interconnected by control agents. We can visualize this architecture as a graph where subsystems are associated to nodes and control agents are associated to arcs. The interconnection between subsystems is determined by their input matrix. The decisions of each control agent can directly affect only the nodes connected by the corresponding arc. We seek a stabilizing control framework in which each control agent has information only about the state components associated with the nodes it influences; we say this control architecture is decentralized in the sense of networks. This problem setup involves block-structured feedback matrices, with structural zero blocks. We... (More)

In this paper we consider a set of dynamically decoupled systems interconnected by control agents. We can visualize this architecture as a graph where subsystems are associated to nodes and control agents are associated to arcs. The interconnection between subsystems is determined by their input matrix. The decisions of each control agent can directly affect only the nodes connected by the corresponding arc. We seek a stabilizing control framework in which each control agent has information only about the state components associated with the nodes it influences; we say this control architecture is decentralized in the sense of networks. This problem setup involves block-structured feedback matrices, with structural zero blocks. We provide a constructive, sufficient condition based on an LMI with block-diagonal constraints, which guarantees stabilizability through a network-decentralized state-feedback control law. We show that under some structural conditions, concerning local stabilizability and connection with the external environment, the LMI condition we provide is always feasible. Thus, the desired controller can be found in an efficient way.

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Please use this url to cite or link to this publication:
author
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
52nd Annual Conference on Decision and Control (CDC 2013)
pages
6 pages
publisher
Institute of Electrical and Electronics Engineers Inc.
conference name
52nd IEEE Conference on Decision and Control, CDC 2013
external identifiers
  • scopus:84902324264
ISBN
9781467357173
DOI
10.1109/CDC.2013.6760979
language
English
LU publication?
no
id
e28448ac-d74c-439e-a229-42c8f7eab154
date added to LUP
2016-07-06 15:29:58
date last changed
2017-02-26 04:39:50
@inproceedings{e28448ac-d74c-439e-a229-42c8f7eab154,
  abstract     = {<p>In this paper we consider a set of dynamically decoupled systems interconnected by control agents. We can visualize this architecture as a graph where subsystems are associated to nodes and control agents are associated to arcs. The interconnection between subsystems is determined by their input matrix. The decisions of each control agent can directly affect only the nodes connected by the corresponding arc. We seek a stabilizing control framework in which each control agent has information only about the state components associated with the nodes it influences; we say this control architecture is decentralized in the sense of networks. This problem setup involves block-structured feedback matrices, with structural zero blocks. We provide a constructive, sufficient condition based on an LMI with block-diagonal constraints, which guarantees stabilizability through a network-decentralized state-feedback control law. We show that under some structural conditions, concerning local stabilizability and connection with the external environment, the LMI condition we provide is always feasible. Thus, the desired controller can be found in an efficient way.</p>},
  author       = {Bianchini, Franco and Franco, Elisa and Giordano, Giulia},
  booktitle    = {52nd Annual Conference on Decision and Control (CDC 2013) },
  isbn         = {9781467357173},
  language     = {eng},
  pages        = {6880--6885},
  publisher    = {Institute of Electrical and Electronics Engineers Inc.},
  title        = {Structured-LMI conditions for stabilizing network-decentralized control},
  url          = {http://dx.doi.org/10.1109/CDC.2013.6760979},
  year         = {2013},
}