[Contrôle des canaux d'irrigation à bathymétrie variable et à vitesse de stabilisation dépendant du temps]
Dans cette Note nous traitons un problème de contrôle des canaux d'irrigation à bathymétrie variable. En utilisant la technique d'estimation a priori de l'énergie et la théorie de la compacité, nous construisons un contrôle frontière. Ce dernier est basé sur le choix d'un taux de stabilisation r arbitraire et pouvant varier en fonction du temps. En effet, l'énergie décroît comme l'exponentielle de quand le temps t tend vers ∞.
This Note deals with the regulation of water flow in open-channels employing the shallow-water model with variable bathymetry. By using energy a priori estimation technics and the compactness theory, we build a stabilizing boundary control. The control law is based on an arbitrary choice of the time dependent stabilization rate r. Say, the energy decreases like the exponential of when the time t tends to ∞.
Accepté le :
Publié le :
@article{CRMATH_2008__346_19-20_1119_0,
author = {Sene, Abdou and Wane, Bocar Amadou and Le Roux, Daniel Y.},
title = {Control of irrigation channels with variable bathymetry and time dependent stabilization rate},
journal = {Comptes Rendus. Math\'ematique},
pages = {1119--1122},
publisher = {Elsevier},
volume = {346},
number = {19-20},
year = {2008},
doi = {10.1016/j.crma.2008.09.009},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2008.09.009/}
}
TY - JOUR AU - Sene, Abdou AU - Wane, Bocar Amadou AU - Le Roux, Daniel Y. TI - Control of irrigation channels with variable bathymetry and time dependent stabilization rate JO - Comptes Rendus. Mathématique PY - 2008 SP - 1119 EP - 1122 VL - 346 IS - 19-20 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2008.09.009/ DO - 10.1016/j.crma.2008.09.009 LA - en ID - CRMATH_2008__346_19-20_1119_0 ER -
%0 Journal Article %A Sene, Abdou %A Wane, Bocar Amadou %A Le Roux, Daniel Y. %T Control of irrigation channels with variable bathymetry and time dependent stabilization rate %J Comptes Rendus. Mathématique %D 2008 %P 1119-1122 %V 346 %N 19-20 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2008.09.009/ %R 10.1016/j.crma.2008.09.009 %G en %F CRMATH_2008__346_19-20_1119_0
Sene, Abdou; Wane, Bocar Amadou; Le Roux, Daniel Y. Control of irrigation channels with variable bathymetry and time dependent stabilization rate. Comptes Rendus. Mathématique, Tome 346 (2008) no. 19-20, pp. 1119-1122. doi : 10.1016/j.crma.2008.09.009. http://archive.numdam.org/articles/10.1016/j.crma.2008.09.009/
[1] Automatic control of canal flow using linear quadratic regulator theory, Journal of Hydraulic Engineering, Volume 119 (1988), pp. 615-630
[2] Robust flow control of single input multiple output regulated rivers, Journal of Irrigation and Drainage Engineering, Volume 127 (2001), pp. 281-286
[3] Pilot: linear quadratic optimal controller for irrigation canals, Journal of Irrigation and Drainage Engineering, Volume 124 (1998), pp. 187-194
[4] Commande frontière adaptative d'un bief de canal avec prélèvements inconnus, RS-JESA, Volume 38 (2004), pp. 347-371
[5] C.Z. Xu, G. Sallet, Proportional and integral regulation of irrigation canal systems governed by the Saint-Venant equation, in: 14th IFAC World Congress, Beijing, China, 1999
Cité par Sources :
