Aida-zade K.R., Hashimov V.A.
Optimizing the arrangement of lumped sources and measurement points of plate heating process

Using the example of control of heating of a thin plate, the authors propose an approach to synthesis of lumped controls for objects with distributed parameters. At the same time, locations of both lumped controls and control points are optimized. Formulas for the components of functional gradient are obtained for the optimized parameters. They allow using first-order optimization methods for numerical solution of the problem. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: gradient projection method, heating, measurement point, nonlocal condition, point source, synthesis of control, thin plate, Heating, Gradient projection methods, Measurement points, Non-local conditions, Point sources, Thin plate, Numerical methods

Cite:
Aida-zade K.R., Hashimov V.A. (2019). Optimizing the arrangement of lumped sources and measurement points of plate heating process. Cybernetics and Systems Analysis, 55 (4), 97-108. doi: https://doi.org/10.1007/s10559-019-00169-w http://jnas.nbuv.gov.ua/article/UJRN-0001003097 [In Russian].