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

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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.
Originele taal-2Engels
Titel2019 American Control Conference (ACC)
Plaats van productiePhiladelphia, PA, USA
UitgeverijInstitute of Electrical and Electronics Engineers
Aantal pagina's6
ISBN van elektronische versie978-1-5386-7926-5
ISBN van geprinte versie978-1-5386-7901-2
StatusGepubliceerd - 29 aug 2019
Evenement2019 American Control Conference, ACC 2019 - Philadelphia, Verenigde Staten van Amerika
Duur: 10 jul 201912 jul 2019


Congres2019 American Control Conference, ACC 2019
Verkorte titelACC2019
LandVerenigde Staten van Amerika
Internet adres


Citeer dit

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) (blz. 600-605). [8814465] Philadelphia, PA, USA: Institute of Electrical and Electronics Engineers.