棒材加热动源功率控制的综合问题

IF 0.7 Q2 MATHEMATICS

Proceedings of the Institute of Mathematics and Mechanics Pub Date : 2021-06-10 DOI:10.30546/2409-4994.47.1/183

K. Aida-zade, V. A. Hashimov, A. H. Bagirov

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引用次数: 4

摘要

考虑了在加热杆的条件下，根据给定的运动规律和运动轨迹对运动源功率的综合控制问题。控制的电流值是根据测量点的棒的温度值来确定的。根据反馈参数和测点位置坐标，得到了目标泛函梯度分量的计算公式。该公式可用于用一阶数值优化方法对试验问题进行数值求解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a problem of synthesis of control of power of the moving sources on heating of a rod

The problem of synthesis of control of power of the moving sources according to the given rules and trajectories under heating the rod is considered. The current values of the controls are determined depending on the values of the temperature of the rod at the points of measurement. Formulas for the components of the gradient of the objective functional are obtained with respect to the feedback parameters and the coordinates of the placement of the measurement points. The formulas can be used in the numerical solution to the test problem using first-order numerical optimization methods.

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来源期刊

Proceedings of the Institute of Mathematics and Mechanics MATHEMATICS-

CiteScore

1.80

自引率

27.30%

发文量

期刊介绍： Proceedings of the Institute of Mathematics and Mechanics (PIMM), National Academy of Sciences of Azerbaijan is an open access journal that publishes original, high quality research papers in all fields of mathematics. A special attention is paid to the following fields: real and complex analysis, harmonic analysis, functional analysis, approximation theory, differential equations, calculus of variations and optimal control, differential geometry, algebra, number theory, probability theory and mathematical statistics, mathematical physics. PIMM welcomes papers that establish interesting and important new results or solve significant problems. All papers are refereed for correctness and suitability for publication. The journal is published in both print and online versions.