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Compartmental flow control : Decentralization, robustness and optimality

Blanchini, Franco; Franco, Elisa; Giordano, Giulia LU ; Mardanlou, Vahid and Montessoro, Pier Luca (2016) In Automatica 64. p.18-28
Abstract

We consider the flow control problem for a general class of compartmental nonlinear systems, which can be associated with a graph whose nodes represent subsystems with their own internal dynamics, and whose arcs represent flow links among them. We consider a network-decentralized control: each agent controls a link between two nodes and decides its actions based on the states of these nodes only. We first provide general necessary and sufficient stabilizability conditions, proving that suitable network-decentralized strategies assure robust stability. We also show that, if all the subsystems at the nodes are marginally stable, a proper network-decentralized strategy asymptotically assures the minimum-norm flow, without requiring... (More)

We consider the flow control problem for a general class of compartmental nonlinear systems, which can be associated with a graph whose nodes represent subsystems with their own internal dynamics, and whose arcs represent flow links among them. We consider a network-decentralized control: each agent controls a link between two nodes and decides its actions based on the states of these nodes only. We first provide general necessary and sufficient stabilizability conditions, proving that suitable network-decentralized strategies assure robust stability. We also show that, if all the subsystems at the nodes are marginally stable, a proper network-decentralized strategy asymptotically assures the minimum-norm flow, without requiring communication among agents.

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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
Compartmental systems, Control of networks, Network-decentralized control, Optimality
in
Automatica
volume
64
pages
11 pages
publisher
Pergamon
external identifiers
  • Scopus:84951834400
ISSN
0005-1098
DOI
10.1016/j.automatica.2015.10.046
language
English
LU publication?
no
id
badf3c73-bb9a-4a0a-9a66-6c36ec7706b6
date added to LUP
2016-07-06 15:11:27
date last changed
2016-07-26 12:44:10
@misc{badf3c73-bb9a-4a0a-9a66-6c36ec7706b6,
  abstract     = {<p>We consider the flow control problem for a general class of compartmental nonlinear systems, which can be associated with a graph whose nodes represent subsystems with their own internal dynamics, and whose arcs represent flow links among them. We consider a network-decentralized control: each agent controls a link between two nodes and decides its actions based on the states of these nodes only. We first provide general necessary and sufficient stabilizability conditions, proving that suitable network-decentralized strategies assure robust stability. We also show that, if all the subsystems at the nodes are marginally stable, a proper network-decentralized strategy asymptotically assures the minimum-norm flow, without requiring communication among agents.</p>},
  author       = {Blanchini, Franco and Franco, Elisa and Giordano, Giulia and Mardanlou, Vahid and Montessoro, Pier Luca},
  issn         = {0005-1098},
  keyword      = {Compartmental systems,Control of networks,Network-decentralized control,Optimality},
  language     = {eng},
  month        = {02},
  pages        = {18--28},
  publisher    = {ARRAY(0x7e4d7d8)},
  series       = {Automatica},
  title        = {Compartmental flow control : Decentralization, robustness and optimality},
  url          = {http://dx.doi.org/10.1016/j.automatica.2015.10.046},
  volume       = {64},
  year         = {2016},
}