Automatic Control of Canal Flow Using Linear Quadratic Regulator Theory

La régulation des canaux d'irrigation : caractérisation et classification

“…-LQR (12) (Corriga et al 1980, 1982a, 1982bet 1983, Balogun 1985, Garcia 1988, Hubbard et al 1987, Reddy 1986, 1992a, Filipovic et al 1989, Florea et al, Malaterre 1994, Sawadogo et al 1994.…”

“…Elles sont basées non plus sur la réponse désirée en boucle fermée, mais sur la minimisation d'un critère J pondérant la commande et les écarts entre les variables contrôlées et leurs consignes. Ces méthodes pré-sentent l'avantage d'être naturellement multivariables : -Optimisation linéaire (Sabet 1985), -Optimisation non linéaire (Tomicic 1989, Khaladi 1992, Zihui 1992), -GPC (Sawadogo 1992, Rodellar 1993), -LQR (Corriga 1983, Balogun 1985, Garcia 1988, Hubbard 1987, Reddy 1992, Filipovic 1989, Florea, Malaterre 1994, Sawadogo et al 1994 La mise en oeuvre de ces méthodes est beaucoup plus lourde que dans le cas monovariable. L'optimisation nonlinéaire classique conduit uniquement à une boucle ouverte, sensible aux erreurs et aux perturbations.…”

An Algebraic Approach for Controlling Cascade of Reaches in Irrigation Canals

“…Various methods have been used to design boundary controllers which satisfy farmers or navigability demands. Among those different methods, we have: LQ (Linear Quadratic) control that has been particularly developped and studied by (Balogun et al, 1988), and (Malaterre., 1998) (see also (Weyer., 2003) and (Chen et al, 2002)). (Weyer., 2003) has considered LQ control of an irrigation canal in which the water levels are controlled using overshot gates located along the canal.…”

A modelling methodology for natural dam-river network systems

“…One is the so-called Saint Venant equations (Chow, 1959). From Saint Venant equations, a class of models are derived (discretized in Balogun, Hubbard, & De Vries, 1988;Garcia, Hubbard, & De Vries, 1992;Georges, 1994, and linearized in Baume & Sau, 1997;Chentouf, Xu, & Boulbrachene, 2001;Duviella, Charbonnaud, Chiron, & Carrillo, 2005;Litrico, 2001;Litrico & Georges, 1997, 1999a, 1999bLitrico, Georges, & Trouvat, 1998). The other principle is the water volume or mass balance principle (Corriga, Patta, Sanna, & Usai, 1979;Corriga, Sanna, & Usai, 1983;Schuurmans, Bosgra, & Brouwer, 1995;Schuurmans, Hof, Dijkstra, Bosgra, & Brouwer, 1999), with which some volume (mass) balance models are presented.…”