萘氧化化学反应速率区间常数的确定

A.Y. Morozov
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引用次数: 0

摘要

在这项工作中,将先前发展的具有区间参数的动态系统的参数识别方法应用于寻找萘氧化化学反应的速率常数的问题。这种反应在塑料、油漆和清漆的生产中具有重要的实际意义。所考虑的方法的实质在于在区间参数边界空间中编制目标函数,并表征模型解与实验数据的偏差。对于目标函数,可以构造一个梯度并用一阶方法对其进行优化。该方法基于自适应插值算法,使得直接区间问题以显式参数集的形式求解成为可能。发现的速率常数区间估计值与已知的速率常数区间估计值一致,但同时它们的宽度较小,这表明了所采用方法的优势。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Identification of the Interval Constants of the Rates of the Chemical Reaction of Naphthalene Oxidation

In this work, the previously developed approach of parametric identification of dynamic systems with interval parameters is applied to the problem of finding the rate constants of the chemical reaction of naphthalene oxidation. This reaction is of practical importance in the production of plastics and paints and varnishes. The essence of the considered approach lies in the compilation of the objective function in the space of the boundaries of the interval parameters and characterizing the deviation of the model solution from the experimental data. For the objective function, it is possible to construct a gradient and use first-order methods to optimize it. The approach is based on the adaptive interpolation algorithm, which makes it possible to obtain solutions for direct interval problems in the form of explicit parametric sets. The found interval estimates of the rate constants are consistent with the known ones, but at the same time they have a smaller width, which demonstrates the advantage of the approach used.

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