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Sensor Location Selection for Continuous Pulp Digesters with Delayed Measurements
  • Lu Zhang,
  • Junyao Xie,
  • Stevan Dubljevic
Lu Zhang

Corresponding Author:lz3@ualberta.ca

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Junyao Xie
University of Alberta
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Stevan Dubljevic
University of Alberta
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Abstract

The state estimation and sensor placement for a continuous pulp digester with delayed measurements are investigated. The underlying model of interest is heat transfer in a pulp digester modeled by two coupled hyperbolic partial differential equations and an ordinary differential equation. Output measurements are considered with delay due to the possible low sampling rate. The Cayley-Tustin transformation is utilized to realize model time discretization in a late lumping manner which does not account for any type of spatial approximation or model reduction. The discrete Kalman filter is applied to estimate the system states using the delayed measurements. The selection of sensor location is addressed along with estimator design accounting for the delayed measurements and investigated by minimizing the variance of estimation error. The performance of the state estimator is evaluated, and the sensor placement is analyzed through simulation studies, which provide guidance for sensor location selection in industrial applications.
22 Mar 2022Submitted to AIChE Journal
23 Mar 2022Submission Checks Completed
23 Mar 2022Assigned to Editor
27 Mar 2022Reviewer(s) Assigned
06 May 2022Editorial Decision: Revise Major
30 May 20221st Revision Received
31 May 2022Submission Checks Completed
31 May 2022Assigned to Editor
02 Jun 2022Reviewer(s) Assigned
16 Jul 2022Editorial Decision: Accept
30 Aug 2022Published in AIChE Journal. 10.1002/aic.17862