A Mathematical Framework for Spatio-Temporal Control in Industrial Drying
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910423221010432 |
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| author | Náraigh, Lennon Ó |
| author_facet | Náraigh, Lennon Ó |
| contents | We introduce two models of industrial drying - a simplified one-equation model, and a detailed three-equation model. The purpose of the simplified model is rigorous validation of numerical methods for PDE-constrained optimal control. The purpose of the detailed model is to be able to predict and control the behaviour of an industrial disk drier. For both models, we introduce a fully validated numerical method to compute the optimal source term to maintain the outlet temperature as close as possible to the set-point temperature. By performing simulations using realistic parameters for industrial driers, we illustrate potential applications of the method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16604 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Mathematical Framework for Spatio-Temporal Control in Industrial Drying Náraigh, Lennon Ó Optimization and Control Fluid Dynamics We introduce two models of industrial drying - a simplified one-equation model, and a detailed three-equation model. The purpose of the simplified model is rigorous validation of numerical methods for PDE-constrained optimal control. The purpose of the detailed model is to be able to predict and control the behaviour of an industrial disk drier. For both models, we introduce a fully validated numerical method to compute the optimal source term to maintain the outlet temperature as close as possible to the set-point temperature. By performing simulations using realistic parameters for industrial driers, we illustrate potential applications of the method. |
| title | A Mathematical Framework for Spatio-Temporal Control in Industrial Drying |
| topic | Optimization and Control Fluid Dynamics |
| url | https://arxiv.org/abs/2404.16604 |