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Проблемы параметрической идентификации в математическом моделировании процессов

Проблемы параметрической идентификации в математическом моделировании процессов

Abstract

Рассматриваются основные этапы построения математических моделей по экспериментальным данным. На каждом этапе выделяются основные проблемы параметрической идентификации, приводящие к недостоверной модели. Особое внимание уделяется свойству идентифицируемости модельной структуры. Неидентифицируемая модельная структуры содержит набор параметров, который нельзя определить однозначно на основе экспериментальных данных, каким бы идеальным не был проводимый эксперимент. В этом случае результаты моделирования становятся сомнительными. Приводятся примеры неидентифицируемой модельной структуры, а также рекомендации по решению данной проблемы

The main stages of constructing mathematical models based on experimental data are considered. At each stage the main problems of parametric identification leading to inadequate models are indicated. Special attention is paid to the property of model structure identifiability. Unidentified model structure contains a set of parameters that cannot be uniquely determined from experimental data, even for the ideal experiment. In this case the results of modeling become questionable. Illustrative examples of non-identifiable model structure are given, as well as recommendations for solving this problem

Keywords

ПАРАМЕТРИЧЕСКАЯ ИДЕНТИФИКАЦИЯ,PARAMETER IDENTIFICATION,МОДЕЛЬНАЯ СТРУКТУРА,MODEL STRUCTURE,ПЛАНИРОВАНИЕ ЭКСПЕРИМЕНТА,EXPERIMENTAL DESIGN,ЛОКАЛЬНАЯ И ГЛОБАЛЬНАЯ ИДЕНТИФИЦИРУЕМОСТЬ,LOCAL AND GLOBAL IDENTIFIABILITY,ПАРАМЕТРИЧЕСКОЕ ПРОСТРАНСТВО,PARAMETER SPACE

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold