Open AccessDynamic identification of boundary conditions for convection-diffusion transport model subject to noisy measurements
Author(s) -
A. Tsyganov,
Julia V. Tsyganova,
A. N. Kuvshinova
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1368/4/042029
Subject(s) - identification (biology) , boundary (topology) , boundary value problem , diffusion , convection–diffusion equation , partial differential equation , function (biology) , computer science , mathematics , parameter identification problem , control theory (sociology) , algorithm , mathematical optimization , mathematical analysis , artificial intelligence , physics , model parameter , botany , control (management) , evolutionary biology , biology , thermodynamics
The paper addresses the problem of dynamic identification of boundary conditions for one-dimensional convection-diffusion transport model based on noisy measurements of the function of interest. Using finite difference method the original model with the partial differential equation is replaced with the discrete linear dynamic system model with noisy multisensor measurements in which boundary conditions are included as the unknown input vector. To solve the problem, the algorithm of simultaneous the state and input vector estimation is used. The results of numerical experiments are presented which confirm the practical applicability of the proposed approach.