Abstract

An algorithm for solving an optimal control problem with terminal constraints is developed. The optimal control problem with terminal constraints and constraints on the control parameter is formulated. To solve the problem, a numerical algorithm based on the penalty method and genetic algorithms is described. A computational experiment is performed for the synthesis reaction of phthalic anhydride in order to get the maximum yield of the reaction product under terminal constraints. The optimal temperature regime and optimal concentrations of reagents are obtained.

中文翻译：

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求解动力系统终端约束最优控制问题的数值算法

摘要

提出了一种求解具有终端约束的最优控制问题的算法。提出了具有终端约束和控制参数约束的最优控制问题。为了解决这个问题，描述了一种基于罚分法和遗传算法的数值算法。对邻苯二甲酸酐的合成反应进行了计算实验，以便在末端限制条件下获得最大的反应产物收率。获得了最佳的温度范围和最佳的试剂浓度。