Authors:
Valérie Dos Santos
1
and
Christophe Prieur
2
Affiliations:
1
Université de Lyon; Université Lyon 1, CNRS, UMR 5007, LAGEP; ESCPE, France
;
2
LAAS-CNRS, France
Keyword(s):
Lyanpunov stability, Proportionnal-Integral control, Saint-Venant equations, Riemann coordinates.
Related
Ontology
Subjects/Areas/Topics:
Distributed Control Systems
;
Informatics in Control, Automation and Robotics
;
Intelligent Control Systems and Optimization
Abstract:
Different improvements have been developed in regards to the stability and the control of two-by-two non linear systems of conservation laws, and in particular for the Saint-Venant equations and the control of flow and water level on irrigation channel. One stability result based on the Riemann coordinates is presented here and sufficient conditions are given to insure the Cauchy convergence. Another result still based on the Riemann approach is presented too, in the linear case, to improve the feedback control based on the Riemann invariants.