Dynamic boundary control synthesis of coupled PDE-ODEs for communication networks under fluid flow modeling

Nicolás Espitia (1) , Antoine Girard (2) , Nicolas Marchand (1) , Christophe Prieur (1)

1 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité
2 L2S - Laboratoire des signaux et systèmes

This paper deals with dynamic boundary control synthesis of communication networks which are modeled under fluid-flow modeling and compartmental representation. The boundary control synthesis of the resulting linearized coupled hyperbolic PDE-ODEs is carried by means of Lyapunov techniques and LMIs formulation. Two specific control functions with constraints are studied. Input-to state stability of the linearized system of an optimal equilibrium is guaranteed while minimizing the asymptotic gain due to the control actions.

Domaines: Optimisation et contrôle [math.OC]; Automatique / Robotique; Systèmes et contrôle [cs.SY]

Nicolás Espitia, Antoine Girard, Nicolas Marchand, Christophe Prieur. Dynamic boundary control synthesis of coupled PDE-ODEs for communication networks under fluid flow modeling. CDC 2017 - 56th IEEE Conference on Decision and Control, Dec 2017, Melbourne, Australia. pp.1260-1265, ⟨10.1109/cdc.2017.8263829⟩. ⟨hal-01620520⟩