Abstract

A numerical algorithm is developed for searching for an approximate solution to the optimal control problem in the presence of terminal-phase constraints. In general, the formulation of the optimal control problem with terminal-phase constraints is presented, in which the control is a limited piecewise constant function. To solve the problem, a step-by-step algorithm is formulated, which is based on the methods of penalties and differential evolution. Based on this algorithm, a program is created with the help of which a computational experiment is carried out for the catalytic reaction of the synthesis of benzylidenebenzylamine. The temperature profile of the process, which provides the highest concentration of the target substance with restrictions on the conversion of the starting substances, is determined.

中文翻译：

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基于进化计算的带有末相约束的最优标量控制问题的近似解

摘要

开发了一种数值算法，用于在存在终相约束的情况下搜索最优控制问题的近似解。一般而言，提出了具有末相约束的最优控制问题的公式，其中控制是有限分段常函数。为了解决这个问题，提出了一种基于惩罚和差分进化方法的逐步算法。基于该算法，编写了程序，对亚苄基苄胺合成的催化反应进行了计算实验。确定了该过程的温度曲线，该温度曲线提供了目标物质的最高浓度，同时限制了起始物质的转化。