, Volume 25, Issue 3, pp 387-406
Date: 15 Nov 2012

Control of shallow water and sediment continuity coupled system

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Abstract

This paper presents an algebraic method to design a linear feedback control for regulating the water flow in open channels. We deal with a hyperbolic system of partial differential equations describing the behavior of the water flow and the sediment transport. By using an a priori estimation techniques and the Faedo–Galerkin method, we build a stabilizing boundary control. This control law ensures a decrease of the energy and convergence of the controlled system.

This work is supported by grants from International Science Programme Program-Sweden, Aires-Sud Project-France, UMMISCO-IRD Project-France and Fond National Suisse.