Space mapping for optimal control of a nonisothermal tube drawing process

We implement space mapping technique for the first time to optimize geometry of a glass tube during its production process. The strategy is to align the optimizer of the coarse model (isothermal tube drawing) with the fine model (nonisothermal tube drawing) through space mapping technique in order t...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2021-10, Vol.44 (15), p.11797-11809
Main Authors: Butt, Azhar Iqbal Kashif, Mumtaz, Kinza, Reséndiz‐Flores, Edgar O.
Format: Article
Language:English
Subjects:
aggressive space mapping algorithm
Algorithms
coarse model
fine model
glass tube drawing process
Mapping
Optimal control
Optimization
space mapping
steepest descent algorithm
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Summary:We implement space mapping technique for the first time to optimize geometry of a glass tube during its production process. The strategy is to align the optimizer of the coarse model (isothermal tube drawing) with the fine model (nonisothermal tube drawing) through space mapping technique in order to find an optimal solution of a control problem. Adjoint variable approach is used to find optimizer of the coarse model. Numerical results obtained through aggressive space mapping (ASM) algorithm are presented and discussed.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6395