Frequency domain estimation of spatially varying parameters in heat and mass transport

Amritam Das; Siep Weiland; Matthijs van Berkel

doi:10.23919/acc.2019.8814465

Frequency domain estimation of spatially varying parameters in heat and mass transport

Amritam Das, Siep Weiland, Matthijs van Berkel

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

5 Citations (Scopus)

6 Downloads (Pure)

Abstract

This paper presents a frequency domain approach to estimate spatially varying physical parameters of a one dimensional diffusion-transport-reaction equation. A non-linear least squares optimization of a frequency relevant criterion is proposed on the basis of measurements from a limited number of sensors. Analytic expressions of the Jacobian of the criterion function are exploited in an efficient numerical scheme. The proposed method exploits the sparsity of the underlying discretized model for a fast computation of the system parameters. The performance of the proposed procedure is illustrated by a number of simulation results. We demonstrate that the proposed method is able to estimate a spatially varying profile of unknown physical parameters in a realistic scenario.

Original language	English
Title of host publication	2019 American Control Conference (ACC)
Place of Publication	Philadelphia, PA, USA
Publisher	Institute of Electrical and Electronics Engineers
Pages	600-605
Number of pages	6
ISBN (Electronic)	978-1-5386-7926-5
ISBN (Print)	978-1-5386-7901-2
DOIs	https://doi.org/10.23919/acc.2019.8814465
Publication status	Published - 29 Aug 2019
Event	2019 American Control Conference (ACC 2019) - Philadelphia, United States Duration: 10 Jul 2019 → 12 Jul 2019 http://acc2019.a2c2.org

Conference

Conference	2019 American Control Conference (ACC 2019)
Abbreviated title	ACC2019
Country/Territory	United States
City	Philadelphia
Period	10/07/19 → 12/07/19
Internet address	http://acc2019.a2c2.org

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10.23919/acc.2019.8814465

https://ieeexplore.ieee.org/document/8814465

Cite this

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title = "Frequency domain estimation of spatially varying parameters in heat and mass transport",

abstract = "This paper presents a frequency domain approach to estimate spatially varying physical parameters of a one dimensional diffusion-transport-reaction equation. A non-linear least squares optimization of a frequency relevant criterion is proposed on the basis of measurements from a limited number of sensors. Analytic expressions of the Jacobian of the criterion function are exploited in an efficient numerical scheme. The proposed method exploits the sparsity of the underlying discretized model for a fast computation of the system parameters. The performance of the proposed procedure is illustrated by a number of simulation results. We demonstrate that the proposed method is able to estimate a spatially varying profile of unknown physical parameters in a realistic scenario.",

author = "Amritam Das and Siep Weiland and {van Berkel}, Matthijs",

year = "2019",

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booktitle = "2019 American Control Conference (ACC)",

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Das, A , Weiland, S & van Berkel, M 2019, Frequency domain estimation of spatially varying parameters in heat and mass transport. in 2019 American Control Conference (ACC)., 8814465, Institute of Electrical and Electronics Engineers, Philadelphia, PA, USA, pp. 600-605, 2019 American Control Conference (ACC 2019), Philadelphia, Pennsylvania, United States, 10/07/19. https://doi.org/10.23919/acc.2019.8814465

Frequency domain estimation of spatially varying parameters in heat and mass transport. / Das, Amritam ; Weiland, Siep ; van Berkel, Matthijs.

2019 American Control Conference (ACC). Philadelphia, PA, USA : Institute of Electrical and Electronics Engineers, 2019. p. 600-605 8814465.

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

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AU - Weiland, Siep

AU - van Berkel, Matthijs

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Y1 - 2019/8/29

N2 - This paper presents a frequency domain approach to estimate spatially varying physical parameters of a one dimensional diffusion-transport-reaction equation. A non-linear least squares optimization of a frequency relevant criterion is proposed on the basis of measurements from a limited number of sensors. Analytic expressions of the Jacobian of the criterion function are exploited in an efficient numerical scheme. The proposed method exploits the sparsity of the underlying discretized model for a fast computation of the system parameters. The performance of the proposed procedure is illustrated by a number of simulation results. We demonstrate that the proposed method is able to estimate a spatially varying profile of unknown physical parameters in a realistic scenario.

AB - This paper presents a frequency domain approach to estimate spatially varying physical parameters of a one dimensional diffusion-transport-reaction equation. A non-linear least squares optimization of a frequency relevant criterion is proposed on the basis of measurements from a limited number of sensors. Analytic expressions of the Jacobian of the criterion function are exploited in an efficient numerical scheme. The proposed method exploits the sparsity of the underlying discretized model for a fast computation of the system parameters. The performance of the proposed procedure is illustrated by a number of simulation results. We demonstrate that the proposed method is able to estimate a spatially varying profile of unknown physical parameters in a realistic scenario.

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M3 - Conference contribution

AN - SCOPUS:85072302660

SN - 978-1-5386-7901-2

SP - 600

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BT - 2019 American Control Conference (ACC)

PB - Institute of Electrical and Electronics Engineers

CY - Philadelphia, PA, USA

T2 - 2019 American Control Conference (ACC 2019)

Y2 - 10 July 2019 through 12 July 2019

ER -

Frequency domain estimation of spatially varying parameters in heat and mass transport

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