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Имитационное моделирование динамических систем с запаздыванием

Имитационное моделирование динамических систем с запаздыванием

Abstract

The methods of estimating the characteristics of simulation training systems for training of operators of transport ergonomics systems depending on the step of integrating the equations of motion of the control object. Integration is performed by the Runge – Kutta method of second order accuracy. Update of initial conditions is performed at each integration step. Stepwise refinement is performed time-dependent parameters of the control object (aerodynamic coefficients, massa, etc.). Are given approximate methods for assessing the impact of the delay in the subsystems (atent period of formation of control actions, backlash in the control channels and others). Is given the analytical assessment of the integration step depending on the parameters of the control object. Are defined the maximum allowable values of integration steps (for different evaluation criteria for the integration). The results of studies have been practically tested in the development and setting up of a number of simulation models of objects ergatic systems.

Предлагается методика оценки имитационных характеристик обучающих комплексов для подготовки операторов транспортных эргатических систем в зависимости от шага интегрирования уравнений движения объекта управления. Интегрирование производится методом Рунге – Кутта второго порядка точности. Обновление начальных условий осуществляется на каждом шаге интегрирования. Производится пошаговое уточнение зависящих от времени параметров объекта управления (аэродинамические коэффициенты, масса и т.д.). Приводятся приближенные методы оценки влияния запаздывания в подсистемах (латентный период моторики оператора, люфты в каналах управления и др.). Производится аналитическая оценка зависимости требуемого шага интегрирования от параметров объекта управления. Определяются максимально допустимые значения шагов интегрирования для различных критериев оценки точности интегрирования. Результаты исследований прошли практическую апробацию при разработке и настройке ряда имитационных моделей объектов эргатических систем.

Keywords

ПРИБЛИЖЕННЫЕ МЕТОДЫ ОЦЕНКИ, ЗАВИСИМОСТЬ ОТ ПАРАМЕТРОВ ОБЪЕКТА, ШАГ ИНТЕГРИРОВАНИЯ, ИМИТАЦИОННОЕ МОДЕЛИРОВАНИЕ, ДИНАМИЧЕСКИЕ СИСТЕМЫ С ЗАПАЗДЫВАНИЕМ, ЭРГАТИЧЕСКИЕ СИСТЕМЫ

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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