Compartmental flow control: Decentralization, robustness and optimality

• Franco Blanchini ^[1] ; Elisa Franco ^[2] ; Giulia Giordano ^[1] ; Vahid Mardanlou ^[2]
  1. [1] Università di Udine

     Università di Udine

     Udine, Italia

     
  2. [2] University of California at Riverside, United States
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 64, 2016, págs. 18-28
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.