Compartmental flow control

Decentralization, robustness and optimality

Journal article (2016)

Authors

Franco Blanchini Università degli Studi di Udine
Elisa Franco University of California
G. Giordano Università degli Studi di Udine
Vahid Mardanlou University of California
Pier Luca Montessoro Università degli Studi di Udine
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Published Date

01-02-2016

Language

English

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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.