15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
STABILIZATION OF ST VENANT EQUATIONS USING RIEMANN INVARIANTS : APPLICATION TO WATERWAYS WITH MOBILE SPILLWAYS
J. de Halleux*, G. Bastin*
* CESAME, Université Catholique de Louvain-La-Neuve
Bâtiment Euler, 4-6 Av. Georges Lemaitre,
B 1348 Louvain-La-Neuve, BELGIQUE
Tel: (32) 10 47 25 97, {dehalleux, bastin}@auto.ucl.ac.be

This paper deals with the regulation of water flow and level in water-ways made up of channels separated by spillways. This control problem is solved by using boundary control based on Riemann invariants. The control performance is illustrated with an experiment for the Sambre river.
Keywords: Boundary control, Open channel, Riemann invariants, Regulation, Shallow water equations, Partial differential equations
Session slot T-Th-E08: Nonlinear control applications/Area code 2c : Non-linear Systems