TY - JOUR
T1 - Compartmental flow control
T2 - Decentralization, robustness and optimality
AU - Blanchini, Franco
AU - Franco, Elisa
AU - Giordano, Giulia
AU - Mardanlou, Vahid
AU - Montessoro, Pier Luca
PY - 2016/2/1
Y1 - 2016/2/1
N2 - 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.
AB - 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.
KW - Compartmental systems
KW - Control of networks
KW - Network-decentralized control
KW - Optimality
UR - http://www.scopus.com/inward/record.url?scp=84951834400&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2015.10.046
DO - 10.1016/j.automatica.2015.10.046
M3 - Article
AN - SCOPUS:84951834400
SN - 0005-1098
VL - 64
SP - 18
EP - 28
JO - Automatica
JF - Automatica
ER -