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Industrial Automatic Control Systems and Controllers

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The Problem-oriented Language in Continuous Simulation System
Koryagin S.V. Yakovlev A.A.

This article discusses the options for implementing problem-oriented broadcasting media in the framework of the continuous simulation. Formal description of the object is a set of ordinary differential and algebraic equations by which transition build. A formal description of the problem-oriented language. You can provide the integration methods and conditions for integration, method error by changing method step and automatic integration step correction. In the block «equations» describes the differential equations. In the block «koef» made ​​factors. In the block «cauchy» entered the initial conditions of the state variables. In the block «methods» chosen method of integration. In the block «output» lists the variables that are calculated in the program (given their graphical representation).
Example number one: flight of the projectile. The system of equations of order 4. First, the object is examined by using Euler’s method. Then change some of the parameters of the system: angle shot and the initial velocity of the projectile (integrating other conditions remain the same). The method of integration of Runge-Kutta Dormand-Prince 4–5 order.
Example number 2: we consider a system of equations of Kolmogorov. The system of equations of order 4. Also, calculations are carried out for two variants of the initial conditions. In the first case, the method of integration of Runge-Kutta-Fehlberg 4–5 order, in the second – the Runge-Kutta 2–3 orders.

Keywords: continuous simulation; differential equations; algebraic equations; method of integration; conditions of integration; initial conditions; state variables; translation methods; problem-oriented programming languages; formal description; description of the object.

Contacts: E-mail: dongenealog2003@mail.ru

Pp. 36-40.

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