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

R.J.R. van Kampen; Amritam Das; Siep Weiland; Matthijs van Berkel

doi:10.23919/ACC50511.2021.9482757

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

R.J.R. van Kampen, Amritam Das, Siep Weiland, Matthijs van Berkel

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

This paper 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.

Original language	English
Title of host publication	2021 American Control Conference, ACC 2021
Publisher	Institute of Electrical and Electronics Engineers
Pages	286-291
Number of pages	6
ISBN (Electronic)	978-1-6654-4197-1
DOIs	https://doi.org/10.23919/ACC50511.2021.9482757
Publication status	Published - 28 Jul 2021
Event	2021 American Control Conference, ACC 2021 - Virtual, Virtual, New Orleans, United States Duration: 25 May 2021 → 28 May 2021 http://acc2021.a2c2.org/

Conference

Conference	2021 American Control Conference, ACC 2021
Abbreviated title	ACC 2021
Country/Territory	United States
City	Virtual, New Orleans
Period	25/05/21 → 28/05/21
Internet address	http://acc2021.a2c2.org/

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10.23919/ACC50511.2021.9482757

Cite this

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title = "A Closed-Form Solution to Estimate Spatially Varying Parameters in Heat and Mass Transport",

abstract = "This paper 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.",

author = "{van Kampen}, R.J.R. and Amritam Das and Siep Weiland and {van Berkel}, Matthijs",

year = "2021",

month = jul,

day = "28",

doi = "10.23919/ACC50511.2021.9482757",

language = "English",

pages = "286--291",

booktitle = "2021 American Control Conference, ACC 2021",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "2021 American Control Conference, ACC 2021, ACC 2021 ; Conference date: 25-05-2021 Through 28-05-2021",

url = "http://acc2021.a2c2.org/",

}

van Kampen, RJR, Das, A , Weiland, S & van Berkel, M 2021, A Closed-Form Solution to Estimate Spatially Varying Parameters in Heat and Mass Transport. in 2021 American Control Conference, ACC 2021., 9482757, Institute of Electrical and Electronics Engineers, pp. 286-291, 2021 American Control Conference, ACC 2021, Virtual, New Orleans, United States, 25/05/21. https://doi.org/10.23919/ACC50511.2021.9482757

A Closed-Form Solution to Estimate Spatially Varying Parameters in Heat and Mass Transport. / van Kampen, R.J.R.; Das, Amritam ; Weiland, Siep et al.
2021 American Control Conference, ACC 2021. Institute of Electrical and Electronics Engineers, 2021. p. 286-291 9482757.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

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

AU - van Kampen, R.J.R.

AU - Das, Amritam

AU - Weiland, Siep

AU - van Berkel, Matthijs

PY - 2021/7/28

Y1 - 2021/7/28

N2 - This paper 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 paper 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.

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DO - 10.23919/ACC50511.2021.9482757

M3 - Conference contribution

SP - 286

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BT - 2021 American Control Conference, ACC 2021

PB - Institute of Electrical and Electronics Engineers

T2 - 2021 American Control Conference, ACC 2021

Y2 - 25 May 2021 through 28 May 2021

ER -

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

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