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Author Besancon, G. ♦ Dulhoste, J.-F. ♦ Georges, D.
Sponsorship IEEE Control Syst. Soc
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2001
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Backstepping ♦ Nonlinear control systems ♦ Irrigation ♦ Control systems ♦ Partial differential equations ♦ Moment methods ♦ Lagrangian functions ♦ Polynomials ♦ Finite difference methods ♦ Finite element methods
Abstract This paper deals with the nonlinear control of irrigation canals or dam-river systems. Open-channel dynamics are based on the well-known Saint-Venant nonlinear partial differential equations. Here, the finite-dimensional model we (2001) previously developed, which is based on a collocation Galerkin method together with the functional approximation by Lagrange polynomials, is used as a basic model for the control. In our previous paper we showed how such a model is much more tractable than those obtained from classical finite-difference or finite-element methods (from the viewpoint of both state dimension and structure) and well suited for control purposes. In this paper we show how this model can be used to design a nonlinear controller using the backstepping technique for controlling the water levels along an open-channel reach, and present some simulations of the system using the obtained controller.
Description Author affiliation: Lab. d'Automatique de Grenoble, ENSIEG, St. Martin d'Heres, France (Besancon, G.)
ISBN 0780367332
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2001-09-07
Publisher Place Mexico
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 299.87 kB
Page Count 5
Starting Page 179
Ending Page 183


Source: IEEE Xplore Digital Library