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

Abstract

Abstract-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.

Observer-based event-triggered boundary control of a linear 2 × 2 hyperbolic systems

“…One of them is precisely because hyperbolic PDEs have been useful for the modeling and control of variety of physical networks: e.g. hydraulic [2,Chapter 8], communication [10], and road traffic networks [5,35]. Therefore, either the boundary or the in-domain control must be implemented in digital platforms while suitably sampling the control value.…”