Compartmental flow control: Decentralization, robustness and optimality

Franco Blanchini, Elisa Franco, Giulia Giordano, Vahid Mardanlou, Pier Luca Montessoro

Research output: Contribution to journalArticleScientificpeer-review

15 Citations (Scopus)

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 communication among agents.

Original languageEnglish
Pages (from-to)18-28
Number of pages11
JournalAutomatica
Volume64
DOIs
Publication statusPublished - 1 Feb 2016
Externally publishedYes

Keywords

  • Compartmental systems
  • Control of networks
  • Network-decentralized control
  • Optimality

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