Simulation of optimal control of distributed systems with a moving source of exposure

V. Pervadchuk, D. Vladimirova, I. Gordeeva
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Abstract

The problem of optimal control of a distributed system with a moving thermal source of action is solved. This approach is realized for the process of alloying quartz optical fibers in two-dimensional and one-dimensional formulations. The control problem is solved using variational approaches and convex analysis. As a result of the solution, optimality conditions are obtained in the form of systems of partial differential equations. Numerical studies have been carried out, and management functions have been obtained. Thus, a method for managing a distributed system with a moving source of influence has been proposed and implemented.
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具有移动暴露源的分布式系统的最优控制仿真
研究了具有运动热源的分布式系统的最优控制问题。在石英光纤的二维和一维合金化过程中实现了这种方法。利用变分方法和凸分析方法解决了控制问题。作为解的结果,以偏微分方程组的形式得到了最优性条件。进行了数值研究,并获得了管理功能。因此,本文提出并实现了一种具有移动影响源的分布式系统的管理方法。
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