动态系统建模与控制问题数学模型实现中的精度标定方法

A. Prokofiev
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引用次数: 0

摘要

计算工具的主要定性指标之一是它们解决应用问题的结果的准确性,特别是动态系统的建模和控制问题。然而,尽管计算机技术(CT)的广泛使用,评估计算准确性的问题不能被认为是解决了,由于各种目的的控制论工具的快速发展和传播,其相关性正在增长。问题的严重性在于计算误差分析的复杂性,这导致了分析论证的繁琐和获得具体数值数据所需的大量计算。为了解决许多技术和研究问题,通用和专业的OT工具被广泛使用。后者与OT的通用工具的特征区别在于,有意将算法的范围缩小,这些算法被实现,面向(类)解决有限范围的应用问题。与此同时,人们自然期望实现一些特定的(与通用OT工具相比)优势,这些优势通常包括一个或一组因素,例如:提高速度,解决问题的非分析方法(对于模拟专用OT工具),降低质量尺寸特征和成本等。应当指出,准确性问题与通用和专门的OT工具都有关,根据工具的类型及其作用原理,例如,主要错误的原创性,在某种程度上发生了变化。
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The Method of Precision Calibration in the Implementation of Mathematical Models of Dynamic Systems in Modeling and Control Problems
One of the main qualitative indicators of computing tools is the accura-cy of the results of solving applied problems by them, in particular, prob-lems of modeling and control of dynamic systems. However, despite the widespread use of computer technology (CT), the problem of assessing the accuracy of calculations cannot be considered solved, and its relevance is growing due to the rapid development and spread of cybernetic tools for various purposes. The severity of the problem lies in the complexity of the analysis of calculation errors, which leads to the cumbersomeness of ana-lytical justifications and the large volume of calculations required to obtain specific numerical data.To solve many technical and research problems, both universal and specialized OT tools are widely used. The characteristic difference of the latter from universal tools of OT is a deliberately narrow class of algo-rithms that are implemented, oriented (class) to solving a limited range of applied problems. At the same time, it is naturally expected to achieve a number of certain (compared to universal OT tools) advantages, which usually include one or a group of factors, such as:increased speed, a non-analytical method of solving problems (for analog specialized OT tools), reduced mass-dimensional characteristics and cost, etc. It should be noted that the problem of accuracy is relevant for both universal and specialized OT tools, being somewhat transformed, depending on the type of tool and the principle of its action, for example, the originality of primary errors.
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