| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 723639 | IFAC Proceedings Volumes | 2007 | 6 Pages |
Abstract
A boundary control law with integral actions is proposed for a generic class of two-by-two homogeneous systems of linear conservation laws. Sufficient conditions on the tuning parameters are stated that guarantee the asymptotic stability of the closed-loop system. The closed-loop stability is analysed with an appropriate Lyapunov function. The control design method is validated with an experimental application to the regulation of water depth and flow rate in a pilot open-channel described by Saint-Venant equations. This hydraulic application shows that the control can be robustly implemented on nonhomogeneous systems of nonlinear conservation laws.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Valérie Dos Santos, Georges Bastin, Jean-Michel Coron, Brigitte d'Andréa-Novel,