Boundary feedback control in networks of open channels
(2003) Automatica — Vol. 39, n° 8, p. 1365-1376 (2003)
Files
pdfdocument.pdf
Restricted Access - Adobe PDF
- 309.61 KB
Details
- Authors
Bastin, Georges 
- Abstract
- 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.
- Affiliations
Citations
de Halleux, J., Prieur, C., Coron, J., d’Andrea-Novel, B., & Bastin, G. (2003). Boundary feedback control in networks of open channels. Automatica, 39(8), 1365-1376. https://doi.org/10.1016/S0005-1098(03)00109-2 (Original work published 2003)