This paper deals with the problem of fault detection and isolation for time-varying delayed systems. It consists to develop a H∞ observer that generates residuals sensitive to some faults and insensitive to others in order to detect and isolate actuator faults which can occur on the regulation gates of an irrigation canal. The observer design uses a simplified approximate model of the Saint-Ven...

We address the issue of the exponential stability (in L2-norm) of the classical solutions of the linearised Saint-Venant equations for a sloping channel. We give an explicit sufficient dissipative condition which guarantees the exponential stability under subcritical flow conditions without additional assumptions on the size of the bottom and friction slopes. The stability analysis relies on th...

We first present multicomponent flow models derived from the kinetic theory of gases. We then investigate the symmetric hyperbolic-parabolic structure of the resulting system of partial differential equations and discuss the Cauchy problem for smooth solutions. We also address the existence of deflagration waves also termed anchored waves. We further indicate related models which have a similar...

In gravity irrigation, how water is distributed in the soil profile makes it necessary to study and develop methodologies model process of infiltration redistribution. this work, a shown simulate advancing front border irrigation based on one dimensional equations Barré de Saint-Venant for surface flow equation Green Ampt porous medium. The solutions were obtained numerically using finite diffe...

flood routing has many applications in engineering projects and helps designers in understanding the flood flow characteristics in river flows. floods are taken unsteady flows that vary by time and location. equations governing unsteady flows in waterways are continuity and momentum equations which in case of one-dimensional flow the saint-venant hypothesis is considered. dynamic wave model as ...

The paper concerns mathematical modelling of free surface open channel water flow. In order to simulate the flow two models are used – two-dimensional vertical Reynolds-Averaged Navier-Stokes equations and one-dimensional Saint-Venant equations. The former is solved with SIPMLE algorithm of finite difference method using Marker and Cell technique to trace a free surface movement. The latter is ...