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Some algorithms for parameter estimation in water resources systems
Author(s) -
Sehitoglu H.
Publication year - 1983
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr019i005p01193
Subject(s) - discretization , convergence (economics) , burgers' equation , stability (learning theory) , mathematics , algorithm , domain (mathematical analysis) , estimation , estimation theory , computer science , mathematical optimization , partial differential equation , mathematical analysis , machine learning , economics , management , economic growth
This paper is concerned with the development of algorithms for the estimation of the unknown model parameters of some water resources systems. The proposed algorithms are of recursive form and therefore are suitable for real‐time estimation purposes. Proportional and proportional plus integral type algorithms are developed by using Lyapunov's stability theorem. This way, asymptotic convergence of the algorithms is guaranteed in the space of unknown parameters. The finite‐element method is used to discretize the spatial domain of the distributed system. The method developed does not require prior knowledge of the unknown parameters and the system initial conditions. The numerical examples presented include the convection‐diffusion equation and Burgers' equation.