de Halleux, J.
Prieur, C.
Coron, JM
d'Andrea-Novel, Brigitte
Bastin, Georges
[UCL]
This article deals with the regulation of water flow in open-channels modelled by Saint-Venant equations. By means of a Riemann invariants approach, we deduce stabilizing control laws for a single horizontal reach without friction. The stability condition is extended to a general class of hyperbolic systems which can describe canal networks with more general topologies. A control law design based on this condition is illustrated with a simple case study: two reaches in cascade. The proof of the main stability theorem is based on a previous result from Li Ta-tsien concerning the existence and decay of classical solutions of hyperbolic systems. (C) 2003 Elsevier Ltd. All rights reserved.
Bibliographic reference |
de Halleux, J. ; Prieur, C. ; Coron, JM ; d'Andrea-Novel, Brigitte ; Bastin, Georges. Boundary feedback control in networks of open channels. In: Automatica, Vol. 39, no. 8, p. 1365-1376 (2003) |
Permanent URL |
http://hdl.handle.net/2078.1/40910 |