Compartmental flow control : Decentralization, robustness and optimality
(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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- author
- Blanchini, Franco ; Franco, Elisa ; Giordano, Giulia LU ; Mardanlou, Vahid and Montessoro, Pier Luca
- organization
- publishing date
- 2016-02-01
- 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 Press Ltd.
- 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
- 2022-05-02 04:21:02
@article{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}}, keywords = {{Compartmental systems; Control of networks; Network-decentralized control; Optimality}}, language = {{eng}}, month = {{02}}, pages = {{18--28}}, publisher = {{Pergamon Press Ltd.}}, series = {{Automatica}}, title = {{Compartmental flow control : Decentralization, robustness and optimality}}, url = {{http://dx.doi.org/10.1016/j.automatica.2015.10.046}}, doi = {{10.1016/j.automatica.2015.10.046}}, volume = {{64}}, year = {{2016}}, }