Modelling, Simulation and control of hyperbolic systems with switching

Doctoral student: 
LAMARE Pierre-Olivier
Date de soutenance: 
Monday, September 28, 2015
Supervisors: 
Name: 
A. Girard
Laboratory: 
LJK
Name: 
C. Prieur
Laboratory: 
GIPSA-lab
Theses.fr: 
Control of Hyperbolic Systems by Lyapunov Analysis
Summary: 

In this thesis we have considered several aspects for the control and analysis of hyperbolic systems.

These systems may model the transport of physical quantities in a network (velocity and height of water in a pool, vehicle density on a road, etc). By a Lyapunov analysis we have proposed discontinuous controllers, analyzed proportional-integral controller, synthesized controller by matrix inequalities, etc.

Many obtained results have been illustrated by academic examples and physically relevant dynamical systems (as Shallow-Water equations and Aw-Rascle-Zhang equations).

 

https://hal.archives-ouvertes.fr/hal-01358718/document

File: 
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