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Consensus over ring networks as a quadratic optimal control problem

Jonathan Rogge UGent, Johan Suykens and Dirk Aeyels UGent (2010) System, Structure and Control, 4th IFAC Symposium, Proceedings. p.317-323
abstract
This paper presents the consensus problem in the framework of optimal control. Our aim is to synchronize a set of identical linear systems. We propose a cost which penalizes mutual differences between the states of these systems. The feedback matrix resulting from this linear quadratic control problem represents the interconnection network which synchronizes the systems. In general the interconnection structure is of the all-to-all type. We show that it is possible to devise an LQR problem in which the cost results in an interconnection structure representing ring coupling. Care has to be taken that the effect of the feedback control is restricted to synchronizing the systems, i.e. when the systems are synchronized, the feedback control signal is required to be equal to zero.
Please use this url to cite or link to this publication:
author
organization
year
type
conference
publication status
published
subject
keyword
interconnected systems, synchronization, control system synthesis, algebraic Riccati equations, linear quadratic regulator
in
System, Structure and Control, 4th IFAC Symposium, Proceedings
editor
L Jetto
article_number
ThCT2.3
pages
317 - 323
publisher
International Federation of Automatic Control (IFAC)
conference name
4th IFAC Symposium on System, Structure and Control (SSSC 2010)
conference location
Ancona, Italy
conference start
2010-09-15
conference end
2010-09-17
language
English
UGent publication?
yes
classification
C1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1108594
handle
http://hdl.handle.net/1854/LU-1108594
date created
2011-01-24 09:05:20
date last changed
2011-02-23 10:36:16
@inproceedings{1108594,
  abstract     = {This paper presents the consensus problem in the framework of optimal control. Our aim is to synchronize a set of identical linear systems. We propose a cost which penalizes mutual differences between the states of these systems. The feedback matrix resulting from this linear quadratic control problem represents the interconnection network which synchronizes the systems. In general the interconnection structure is of the all-to-all type. We show that it is possible to devise an LQR problem in which the cost results in an interconnection structure representing ring coupling. Care has to be taken that the effect of the feedback control is restricted to synchronizing the systems, i.e. when the systems are synchronized, the feedback control signal is required to be equal to zero.},
  articleno    = {ThCT2.3},
  author       = {Rogge, Jonathan and Suykens, Johan and Aeyels, Dirk},
  booktitle    = {System, Structure and Control, 4th IFAC Symposium, Proceedings},
  editor       = {Jetto, L},
  keyword      = {interconnected systems,synchronization,control system synthesis,algebraic Riccati equations,linear quadratic regulator},
  language     = {eng},
  location     = {Ancona, Italy},
  pages        = {ThCT2.3:317--ThCT2.3:323},
  publisher    = {International Federation of Automatic Control (IFAC)},
  title        = {Consensus over ring networks as a quadratic optimal control problem},
  year         = {2010},
}

Chicago
Rogge, Jonathan, Johan Suykens, and Dirk Aeyels. 2010. “Consensus over Ring Networks as a Quadratic Optimal Control Problem.” In System, Structure and Control, 4th IFAC Symposium, Proceedings, ed. L Jetto, 317–323. International Federation of Automatic Control (IFAC).
APA
Rogge, Jonathan, Suykens, J., & Aeyels, D. (2010). Consensus over ring networks as a quadratic optimal control problem. In L. Jetto (Ed.), System, Structure and Control, 4th IFAC Symposium, Proceedings (pp. 317–323). Presented at the 4th IFAC Symposium on System, Structure and Control (SSSC 2010), International Federation of Automatic Control (IFAC).
Vancouver
1.
Rogge J, Suykens J, Aeyels D. Consensus over ring networks as a quadratic optimal control problem. In: Jetto L, editor. System, Structure and Control, 4th IFAC Symposium, Proceedings. International Federation of Automatic Control (IFAC); 2010. p. 317–23.
MLA
Rogge, Jonathan, Johan Suykens, and Dirk Aeyels. “Consensus over Ring Networks as a Quadratic Optimal Control Problem.” System, Structure and Control, 4th IFAC Symposium, Proceedings. Ed. L Jetto. International Federation of Automatic Control (IFAC), 2010. 317–323. Print.