Estimation of inflow hydrographs of floods entering a reservoir using proportlonal observers

Abstract

A method based on the control theory to infer the flood entering a reservoir is presented. The method is based on a Luenberger proportlonal observer that allows the deduction, in an indirect way, and knowing the variations in water surface elevation, of the volume that enters the reservoir and its variation in time. First, by considering a hypothetical case, the proposed algorithm is compared, both analytically and numerically, with the traditional method which uses the trapezoidal rule. Some real cases are also analyzed. It is concluded that the inference algorithm, which is proposed in this work, presents a good behavior, making it especially attractive in this kind of applications.