Model-Based Control of Slab Shapes in Hot Rolling Processes
We use the example of hot rolling to develop a comprehensive optimization approach that is based on a mathematical model of the underlying manufacturing process. More precisely, we study an optimal control problem that is designed to minimize cutting scrap while taking industrial specifications and...
Sábháilte in:
| Príomhchruthaitheoir: | |
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| Formáid: | Online |
| Teanga: | Béarla |
| Foilsithe / Cruthaithe: |
FAU University Press
2025
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| Ábhair: | |
| Rochtain ar líne: | ONIX_20251215T160703_9783944057828_16 |
| Clibeanna: |
Níl clibeanna ann, Bí ar an gcéad duine le clib a chur leis an taifead seo!
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| _version_ | 1869516517304958976 |
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| author | Werner, Stefan |
| author_browse | Werner, Stefan |
| author_facet | Werner, Stefan |
| author_sort | Werner, Stefan |
| collection | Directory of Open Access Books |
| description | We use the example of hot rolling to develop a comprehensive optimization approach that is based on a mathematical model of the underlying manufacturing process. More precisely, we study an optimal control problem that is designed to minimize cutting scrap while taking industrial specifications and technical limitations into account. It is well known that the associated control-to-observation map is non-differentiable due to changes of state resulting from elasto-viscoplastic material behavior and frictional contact. However, we still want to apply gradient-based methods to solve the optimal control problem and therefore have to compute derivatives of cost functional and constraints. To resolve this issue, we first regularize all non-differentiabilities before computing sensitivity information via direct differentiation. We moreover present solution techniques for the regularized problem and discuss numerical results for real-world examples. |
| format | Online |
| id | doab-20.500.12854ir-170161 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | FAU University Press |
| publisherStr | FAU University Press |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1701612025-12-16T05:03:15Z Model-Based Control of Slab Shapes in Hot Rolling Processes Werner, Stefan Optimale Kontrolle Warmwalzen Nichtlineare Kontinuumsmechanik Sensitivitätsanalyse Regularisierung thema EDItEUR::P Mathematics and Science We use the example of hot rolling to develop a comprehensive optimization approach that is based on a mathematical model of the underlying manufacturing process. More precisely, we study an optimal control problem that is designed to minimize cutting scrap while taking industrial specifications and technical limitations into account. It is well known that the associated control-to-observation map is non-differentiable due to changes of state resulting from elasto-viscoplastic material behavior and frictional contact. However, we still want to apply gradient-based methods to solve the optimal control problem and therefore have to compute derivatives of cost functional and constraints. To resolve this issue, we first regularize all non-differentiabilities before computing sensitivity information via direct differentiation. We moreover present solution techniques for the regularized problem and discuss numerical results for real-world examples. 2025-12-16T05:03:13Z 2025-12-16T05:03:13Z 2025-12-15T15:09:23Z 2016 book ONIX_20251215T160703_9783944057828_16 https://library.oapen.org/handle/20.500.12657/109185 9783944057828 9783944057811 https://directory.doabooks.org/handle/20.500.12854/170161 eng FAU Studies Mathematics & Physics open access image/jpeg n/a https://library.oapen.org/bitstream/20.500.12657/109185/1/9783944057828.pdf FAU University Press 2c600dea-eece-4066-87be-da335e323fdb 9783944057828 9783944057811 183 Erlangen open access |
| spellingShingle | Optimale Kontrolle Warmwalzen Nichtlineare Kontinuumsmechanik Sensitivitätsanalyse Regularisierung thema EDItEUR::P Mathematics and Science Werner, Stefan Model-Based Control of Slab Shapes in Hot Rolling Processes |
| title | Model-Based Control of Slab Shapes in Hot Rolling Processes |
| title_full | Model-Based Control of Slab Shapes in Hot Rolling Processes |
| title_fullStr | Model-Based Control of Slab Shapes in Hot Rolling Processes |
| title_full_unstemmed | Model-Based Control of Slab Shapes in Hot Rolling Processes |
| title_short | Model-Based Control of Slab Shapes in Hot Rolling Processes |
| title_sort | model based control of slab shapes in hot rolling processes |
| topic | Optimale Kontrolle Warmwalzen Nichtlineare Kontinuumsmechanik Sensitivitätsanalyse Regularisierung thema EDItEUR::P Mathematics and Science |
| topic_facet | Optimale Kontrolle Warmwalzen Nichtlineare Kontinuumsmechanik Sensitivitätsanalyse Regularisierung thema EDItEUR::P Mathematics and Science |
| url | ONIX_20251215T160703_9783944057828_16 |
| work_keys_str_mv | AT wernerstefan modelbasedcontrolofslabshapesinhotrollingprocesses |