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A note on efficient computation of privileged directions in modifier adaptation
Publikationstyp
Journal Article
Publikationsdatum
2020-01-04
Sprache
English
Author
Enthalten in
Volume
132
Article Number
106524
Citation
Computers and Chemical Engineering 132: 106524 (2020-01-04)
Publisher DOI
Scopus ID
Publisher
Elsevier
In the presence of plant-model mismatch, the estimation of plant gradients is key to the performance of measurement-based iterative optimization schemes. However, gradient estimation requires time-consuming experiments, wherein the plant is sequentially perturbed in all input directions. To ease this gradient estimation task, it has been proposed to exploit the sensitivity of the model gradient with respect to the model parameters to find a reduced input subspace that is spanned by a few privileged directions for gradient estimation. The computation of gradient sensitivities to parametric variations requires the evaluation of double derivatives with respect to both the inputs and the parameters. In this short note, we propose an approach for computing the privileged directions using only single derivatives with respect to the inputs. We show that this approach results in significant reduction in computational costs without compromising the quality of the privileged directions.
Schlagworte
Gradient sensitivity
Input dimension reduction
Modifier adaptation
Plant-model mismatch
Real-time optimization
DDC Class
530: Physics