Parameter estimation of a real hydrological system using an adjoint method*. Issue 13 (2016)

• Record Type: Journal Article
• Authors: Nguyen, Van Tri; Georges, Didier; Besançon, Gildas; Zin, Isabella
• Is Part Of: IFAC-PapersOnLine. Volume 49:Issue 13(2016)
• Page Start: 300
• Page End: 305
• Publication Date: 2016
• Subjects: Horton model -- Infnite dimensional systems -- Parameter estimation -- Saint-Venant model -- Inverse problem -- Adjoint method -- Tondi Kiboro catchment; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2016.07.978
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper deals with the problem of parameter estimation in a real hydrological catchment of Niger, including Manning roughness and Horton infltration coefcients. Firstly, the dynamics of water fow on this catchment are modeled by using the continuity equation of Saint-Venant and the Horton infltration model whose the parameters are supposed to be unknown. The estimation approach is then based on the calculus of variations which is applied on a Lagrangian objective functional, in order to get the gradients of this functional with respect to parameters needing to be estimated. These gradients are used as inputs of a quasi-Newton optimization algorithm to solve the estimation problem. The presented approach is implemented with real data of the Niger catchment called Tondi Kiboro to get the desired values of parameters.