TY - JOUR

T1 - A Closed-Form Solution to Estimate Spatially Varying Parameters in Heat and Mass Transport

AU - van Kampen, Ricky J.R.

AU - Das, Amritam

AU - Weiland, Siep

AU - van Berkel, Matthijs

PY - 2021/11

Y1 - 2021/11

N2 - This letter presents a closed-form solution to estimate space-dependent transport parameters of a linear one dimensional diffusion-transport-reaction equation. The infinite dimensional problem is approximated by a finite dimensional model by 1) taking a frequency domain approach, 2) linear parameterization of the unknown parameters, and 3) using a semi-discretization. Assuming full state knowledge, the commonly used output error criterion is rewritten as the equation error criterion such that the problem results in linear least squares. The optimum is then given by a closed-form solution, avoiding computational expensive optimization methods. Functioning of the proposed method is illustrated by means of simulation.

AB - This letter presents a closed-form solution to estimate space-dependent transport parameters of a linear one dimensional diffusion-transport-reaction equation. The infinite dimensional problem is approximated by a finite dimensional model by 1) taking a frequency domain approach, 2) linear parameterization of the unknown parameters, and 3) using a semi-discretization. Assuming full state knowledge, the commonly used output error criterion is rewritten as the equation error criterion such that the problem results in linear least squares. The optimum is then given by a closed-form solution, avoiding computational expensive optimization methods. Functioning of the proposed method is illustrated by means of simulation.

KW - distributed parameter systems

KW - Grey-box modeling

KW - identification

KW - inverse problems

UR - http://www.scopus.com/inward/record.url?scp=85097923790&partnerID=8YFLogxK

U2 - 10.1109/LCSYS.2020.3042933

DO - 10.1109/LCSYS.2020.3042933

M3 - Article

AN - SCOPUS:85097923790

SN - 2475-1456

VL - 5

SP - 1681

EP - 1686

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

IS - 5

M1 - 9284622

ER -