Bayesian Fill Volume Estimation Based on Point Level Sensor Signals

Research output: Contribution to journalConference articleResearchpeer review

Authors

  • Johannes Zumsande
  • Karl Philipp Kortmann
  • Mark Wielitzka
  • Tobias Ortmaier

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Details

Original languageEnglish
Pages (from-to)1261-1267
Number of pages7
JournalIFAC-PapersOnLine
Volume53
Issue number2
Publication statusPublished - 2020
Event21st IFAC World Congress 2020 - Berlin, Germany
Duration: 12 Jul 202017 Jul 2020

Abstract

In dry bulk and fluid processing, the composites are usually stored in hoppers, tanks, or other containers. Due to the economic advantages, binary point level sensors, which detect fill level exceeding, are widely used for process monitoring and control. In this paper, we propose different filters for estimating the probability distribution of the fill volume based on a time-variant measurement distribution and a stochastic physical model with white process noise. A filter based on the model prediction with separated measurement update and two Bayesian particle filters are proposed and compared with a simulated ground truth. The performance measures are the root-mean-square error, the precision of the 95 % and 75 % credible intervals, and the average value of the estimated probability density function at the simulated fill volumes.

Keywords

    Bayesian filter, Data fusion, Estimation algorithms, Probabilistic models, Stochastic approximation

ASJC Scopus subject areas

Cite this

Bayesian Fill Volume Estimation Based on Point Level Sensor Signals. / Zumsande, Johannes; Kortmann, Karl Philipp; Wielitzka, Mark et al.
In: IFAC-PapersOnLine, Vol. 53, No. 2, 2020, p. 1261-1267.

Research output: Contribution to journalConference articleResearchpeer review

Zumsande, J, Kortmann, KP, Wielitzka, M & Ortmaier, T 2020, 'Bayesian Fill Volume Estimation Based on Point Level Sensor Signals', IFAC-PapersOnLine, vol. 53, no. 2, pp. 1261-1267. https://doi.org/10.1016/j.ifacol.2020.12.1852
Zumsande, J., Kortmann, K. P., Wielitzka, M., & Ortmaier, T. (2020). Bayesian Fill Volume Estimation Based on Point Level Sensor Signals. IFAC-PapersOnLine, 53(2), 1261-1267. https://doi.org/10.1016/j.ifacol.2020.12.1852
Zumsande J, Kortmann KP, Wielitzka M, Ortmaier T. Bayesian Fill Volume Estimation Based on Point Level Sensor Signals. IFAC-PapersOnLine. 2020;53(2):1261-1267. doi: 10.1016/j.ifacol.2020.12.1852
Zumsande, Johannes ; Kortmann, Karl Philipp ; Wielitzka, Mark et al. / Bayesian Fill Volume Estimation Based on Point Level Sensor Signals. In: IFAC-PapersOnLine. 2020 ; Vol. 53, No. 2. pp. 1261-1267.
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abstract = "In dry bulk and fluid processing, the composites are usually stored in hoppers, tanks, or other containers. Due to the economic advantages, binary point level sensors, which detect fill level exceeding, are widely used for process monitoring and control. In this paper, we propose different filters for estimating the probability distribution of the fill volume based on a time-variant measurement distribution and a stochastic physical model with white process noise. A filter based on the model prediction with separated measurement update and two Bayesian particle filters are proposed and compared with a simulated ground truth. The performance measures are the root-mean-square error, the precision of the 95 % and 75 % credible intervals, and the average value of the estimated probability density function at the simulated fill volumes.",
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AU - Zumsande, Johannes

AU - Kortmann, Karl Philipp

AU - Wielitzka, Mark

AU - Ortmaier, Tobias

N1 - Funding Information: This work is supported by the European Regional Development Fund grant ZW 6-85018381. We would like to thank our industrial partners Heinrich Meier Eisengie?erei GmbH & Co. KG, IAV GmbH and K?NKEL WAGNER Germany GmbH for their support.

PY - 2020

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AB - In dry bulk and fluid processing, the composites are usually stored in hoppers, tanks, or other containers. Due to the economic advantages, binary point level sensors, which detect fill level exceeding, are widely used for process monitoring and control. In this paper, we propose different filters for estimating the probability distribution of the fill volume based on a time-variant measurement distribution and a stochastic physical model with white process noise. A filter based on the model prediction with separated measurement update and two Bayesian particle filters are proposed and compared with a simulated ground truth. The performance measures are the root-mean-square error, the precision of the 95 % and 75 % credible intervals, and the average value of the estimated probability density function at the simulated fill volumes.

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KW - Data fusion

KW - Estimation algorithms

KW - Probabilistic models

KW - Stochastic approximation

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