LAPSE:2019.0563
Published Article
LAPSE:2019.0563
Incremental Parameter Estimation under Rank-Deficient Measurement Conditions
Kris Villez, Julien Billeter, Dominique Bonvin
May 16, 2019
The computation and modeling of extents has been proposed to handle the complexity of large-scale model identification tasks. Unfortunately, the existing extent-based framework only applies when certain conditions apply. Most typically, it is required that a unique value for each extent can be computed. This severely limits the applicability of this approach. In this work, we propose a novel procedure for parameter estimation inspired by the existing extent-based framework. A key difference with prior work is that the proposed procedure combines structural observability labeling, matrix factorization, and graph-based system partitioning to split the original model parameter estimation problem into parameter estimation problems with the least number of parameters. The value of the proposed method is demonstrated with an extensive simulation study and a study based on a historical data set collected to characterize the isomerization of α -pinene. Most importantly, the obtained results indicate that an important barrier to the application of extent-based frameworks for process modeling and monitoring tasks has been lifted.
Keywords
extents, graph theory, model identification, observability, optimal clustering, parameter estimation, state decoupling
Suggested Citation
Villez K, Billeter J, Bonvin D. Incremental Parameter Estimation under Rank-Deficient Measurement Conditions. (2019). LAPSE:2019.0563
Author Affiliations
Villez K: Eawag, Swiss Federal Institute of Aquatic Science and Technology, 8600 Dübendorf, Switzerland; ETH Zürich, Institute of Environmental Engineering, 8093 Zürich, Switzerland [ORCID]
Billeter J: Laboratoire d’Automatique, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
Bonvin D: Laboratoire d’Automatique, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland [ORCID]
[Login] to see author email addresses.
Journal Name
Processes
Volume
7
Issue
2
Article Number
E75
Year
2019
Publication Date
2019-02-02
Published Version
ISSN
2227-9717
Version Comments
Original Submission
Other Meta
PII: pr7020075, Publication Type: Journal Article
Record Map
Published Article

LAPSE:2019.0563
This Record
External Link

doi:10.3390/pr7020075
Publisher Version
Download
Files
[Download 1v1.pdf] (1.1 MB)
May 16, 2019
Main Article
License
CC BY 4.0
Meta
Record Statistics
Record Views
553
Version History
[v1] (Original Submission)
May 16, 2019
 
Verified by curator on
May 16, 2019
This Version Number
v1
Citations
Most Recent
This Version
URL Here
https://psecommunity.org/LAPSE:2019.0563
 
Original Submitter
Calvin Tsay
Links to Related Works
Directly Related to This Work
Publisher Version