作者
Jean-François Dulhoste, Didier Georges, Gildas Besancon
发表日期
2004/2/19
期刊
Journal of Hydraulic Engineering
卷号
130
页码范围
254
简介
This paper is devoted to the nonlinear control of open-channel water flow dynamics via a one-dimensional collocation control model for irrigation canals or dam-river systems. Open channel dynamics are based on the well-known Saint-Venant nonlinear partial differential equations. In order to obtain a finite-dimensional model an orthogonal collocation method is used, together with functional approximation of the solutions of Saint-Venant equations based on Lagrange polynomials. This method can give a more tractable model than those obtained from classical finite-difference or finite-element methods (from the viewpoint of both state dimension and structure), and is well suited for control purposes. In particular it is shown how such a model can be used to design a nonlinear controller by techniques of dynamic input–output linearization with the goal of controlling water levels along an open-channel reach …
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JF Dulhoste, D Georges, G Besançon - Journal of Hydraulic Engineering, 2004