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Space mapping for optimal control of a nonisothermal tube drawing process
Author(s) -
Butt Azhar Iqbal Kashif,
Mumtaz Kinza,
ReséndizFlores Edgar O.
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6395
Subject(s) - tube (container) , mathematics , space (punctuation) , process (computing) , mathematical optimization , isothermal process , optimal control , space mapping , variable (mathematics) , algorithm , geometry , calculus (dental) , mathematical analysis , computer science , mechanical engineering , engineering , physics , thermodynamics , operating system , medicine , dentistry
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.