Event-based control of networks modeled by infinite-dimensional systems

Doctoral student: 
ESPITIA HOYOS Nicolás
Date de soutenance: 
Friday, September 22, 2017
Supervisors: 
Name: 
Nicolas Marchand
Laboratory: 
GIPSA-lab
Name: 
Antoine Girard
Laboratory: 
LJK
Summary: 

This thesis provides contributions on event-based control for a class of infinite dimensional systems. We first focus on theoretical aspects of event-based boundary control of hyperbolic systems. One one hand, with this computer control strategy, we intend to reduce energy consumption when dealing with communication and computational constraints. On the other hand, we use this strategy as a rigorous way of sampling in time when implementation of continuous time controllers on a digital platform is required. A mathematical study regarding well-posedness of the solutions as well as stability issues is conducted in the first theoretical part.

We then address some applications of event-based boundary control design for networks modeled by hyperbolic systems. Some illustrative examples such as road traffic networks and water channel networks are considered. Inspired by them, we model large computer and data/communication networks as a boundary control problem by using hyperbolic systems in order to control data flow through communication lines made up of several nodes.