Copyright © IFAC System. Structure and Control
Oaxaca. Mexico. USA. 8-10 December 2004
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FIRST EXPERIMENTAL RESULTS OF NONLINEAR
CONTROL IN IRRIGATION CANALS *
Gildas • Didier Georges • Victor Ruiz-Carmona ••
Ofelia Begovich ••• Carlos I van Aldana Lopez •••
• Laboratoire d'Alltomatiqlle de Grenoble
ENSIEG BP 46 - 38402 Saint-Martin d'Heres, France
{Gildas.Besancon,Didier.Georges}@inpg.fr
•• Riego y Drenaje, IMTA. Paseo Cuauhllahllac 8532, Jiutepec,
Mor. 62550, Mexico
vrnruiz@tlaloc.imta.mx
••• Cillvestav, Glladalajara, Mexico.
{obegovi,ialdana}@gdl . cinvestav.mx
Abstract: This paper presents various real-time results obtained on an experimental canal
reach. with two types of nonlinear controllers. The controllers have been designed on
the basis of a simple collocation model previously proposed for water dynamics in canal
reaches. They only use water level measurements and are based on a non linear observer
for water flow rate estimation. Stability conditions for the corresponding closed-loop
schemes result from previous studies. and successful experimental results show that such
conditions can indeed be achieved in practice. Copyright ©2004IFAC.
Keywords: Open channel systems, water level regulation, feedback linearization, high
gain observer, experimental results.
I. INTRODUCTION
Most of irrigation canals are currently operated man-
ually. but improving the achieved performances re-
quires closed-loop control. The water flow dynamics
in open channel systems are classically described by
a couple of nonlinear partial differential equations
which are not easily usable for control purposes. Var-
ious modelling approaches have been inspected for
canal oriented control design. from black-box linear
models to infinite dimensional non linear ones, includ-
ing infinite dimensional linearized models. and finite
dimensional nonlinear ones (see for instance (Balogun
et al., 1988; Sawadogo et al .• 1995; Baume et al..
1998; Ouarit et al .• 2(03) for linear approaches,(Coron
et al .. 1999) for a nonlinear infinite dimensional result.
., This work has been supponed by the French-Mexican depan·
men! of applied controllAFMAA.
469
(Malaterre et al .. 1998; Ruiz-carmona et at.. 1998) for
surveys on control algorithms for canals, or (Georges
et al., 2(02) and references therein for a more general
overview). Among those works, it has been shown
via simulations and analysis that a reduced order
nonlinear model which can still fairly represent the
system can be obtained by a so-called collocation
method (Georges et al., 2000), and a nonlinear con-
troller has already been proposed for such a model and
tested in simulation (Dulhoste et al., 200 I; Dulhoste et
al., 2004).
The main purpose here is to comfort this previous
study by experimental results obtained on the same
basis. and using some refinements in the design. To
our knowledge. these experimental results represent
the first validation of a non linear control on a real
canal reach .