Application of modelling systems in the discipline «modern theory of the dynamic systems control» of bachelor degree for the «computer sciences» specialty

N. M. Ershova, N. O. Velmahina


Purpose of the article. To present the capabilities of the MVTU 3.7 simulation system while the transient processes studying of complex dynamic systems and the appropriateness of its using in the learning process. Methodology of the research. Computer technology and information technologies are the main tools of the modern IT specialist, therefore, the qualitative preparation of students in this field has a great importance in the general system of specialists training and largely determines the material mastering degree at the senior courses. The absence of standard programs libraries for solving the most frequently encountered engineering problems in modern algorithmic programming languages makes the creating software products process for research of complex dynamic systems very difficult. For help come systems of modeling, mathematical base of which is the theory of automatic control. There are unified principles for their creation, which are based on the description of structural schemes, that is the graphical representation of a mathematical model. The MVTU 3.7 simulation system allows you to model transient processes, investigate stability and perform the synthesis of the parameters of the oscillatory processes of various technical devices: mechanical, hydraulic, heat engineering, electrotechnical, etc., including means and automation systems. The restricted version is applicable to technical devices with 15 degrees of freedom. In the MVTU 3.7 simulation system, the main role is assigned to the graphic editor, with its help a simulation scheme is created on the display screen according to the structural scheme of the research system. Block structures are selected from the graphics database using the mouse. The graphical database is located on the display screen next to the working field. After the simulation scheme creating the function block parameters are assigned, the integration method is selected and the integration parameters are assigned. Then, the simulation process is started. In the work [1, 2,7,8] the basic data on mathematical modeling of the automatic regulation systems (ARS) are given. Mathematical models of oscillatory processes of wheeled vehicles have their own specifics of creation. In works [3,4] the process of mathematical models creating of the machines oscillatory processes for various calculation schemes is considered. In the work [4] the possibilities of the MVTU 3.7 simulation system in free and forced oscillations studying, analyzing the motion stability along a detailed structural scheme of the simplest model is considered and in the laboratory works of the discipline "Modern Theory of Control of Dynamic Systems" of the baccalaureates curriculum of the specialty "Computer science" is implemented. Transient characteristics, phase portraits and graphs of free and of forced oscillations are obtained. The unfolded structural diagram of a mechanical system with two degrees of freedom is very complicated, but it allows to construct only one phase trajectory. Therefore, an assessment of the complex dynamic systems quality should be carried out on an enlarged structural scheme by the transient characteristics analyzing. In this case, the circuit blocks have complex transfer functions for the implementation of which there is a general view on the dynamic links library. All block parameters have the dimension of a second. It appears the problem a of the transition from the mathematical model of the research system to the mathematical model for constructing an enlarged structural scheme and the transformation of transfer functions to the transfer function of the dynamic link of a general type. Results. A technique for research of the transient processes of complex dynamical systems in the MVTU 3.7 simulation system is proposed by creating enlarged structural schemes and using a general-type dynamic link. Scientific novelty. The received transient characteristics of all dynamic links resulting from the simulation allow us to evaluate the quality of a complex system and verify the stability of oscillatory processes. Practical significance. The proposed technique is convenient in appliance and allows you not only to get the processes graphs, but also their tabular values. It is recommended for using in the "The theory of computer design of complex objects and systems" discipline of the masters curriculum of the specialty "Computer Science".


structural scheme; simulation scheme; dynamic link; transfer function; transient response; oscillatory process; stability; mathematical model


Kartashov B.A. Sistemy avtomaticheskogo regulirovaniya [Systems of automatic regulation]. Rostov-na-Donu: Feniks, 2015, ed. 2, 458 p. (in Russian).

Kotov E.A., Maksimov A.M., Pol’skij V.A. and Skvorcov L.M. Programmnyj kompleks dlya avtomatizirovannogo issledovaniya i proektirovaniya promyshlennykh robotov [The software package for computer-aided research and design of industrial robots]. Мoskva: Mashinostroenie, 1991, 56 p. (in Russian).

Ershova N.M. and Ershov V.I. Modelirovanie i optimizaciya kolebatelnyx protsessov kolesnyx mashin [Modeling and optimization of processes of vibrational-wheeled vehicles: Lectures]. Dnepropetrovsk: PGASA, 2001, 148 p. (in Russian).

Ershova N.M. Sovremennye metody teorii proektirovaniya i upravleniya slozhnymi dinamicheskimi sistemami [Modern methods of the theory of design and management of complex dynamical systems]. Dnepropetrovsk: PGASA, 2016, 272 р. (in Russian).

Krutko P.D., Maksimov A.M. and Skvorcov L.M. Algoritmy i programmy proektirovaniya avtomaticheskikh sistem [Algorithms and software design of automatic systems]. Мoskva: Radio i svyaz, 1988, 306 p. (in Russian).

Kozlov O.S., Kondakov D.E., Skvorcov L.M. and Khodakovskij V.V. Instrukciya polzovatelya programmnym kompleksom “Modelirovanie v texnicheskix ustroystvax” (PK “MVTU”, versiya 3.6) [Manual software package "Simulation in Technical Devices" (PC "SITD", version 3.6)]. Moskva: MGTU im. N.E. Baumana, 2008, 187 p. (in Russian).

Pupkov K.A., Egupov N.D. Metody klassicheskoj i sovremennoj teorii avtomaticheskogo upravleniya [Methods of classic and present theories of automatic management]. Metody teorii avtomaticheskogo upravleniya [Methods of the theory of automatic control]. Мoskva: MGTU im. N.E. Baumana, 2004. (in Russian).

Kartashov B.A. Praktikum po avtomatike. Matematicheskoe modelirovanie sistem avtomaticheskogo regulirovaniya [Workshop on automation. Mathematical modeling of the automatic control systems]. Moskva: KolosS, 2004, 184 p. (in Russian).

GOST Style Citations

Системы автоматического регулирования: практикум по математическому моделированию / Б. А. Карташов [и др.] ; под ред. Б. А. Карташова. – 2-е изд., перераб. и доп. – Ростов-на-Дону : Феникс, 2015. – 458 с. : ил. – (Высшее образование). – Библиогр.: с. 452–453.


Программный комплекс для автоматизированного исследования и проектирования промышленных роботов / Котов Е. А., Максимов А. И., Польский В. А., Скворцов Л. М. – Москва : Машиностроение, 1991. – 71 с.


Моделирование и оптимизация колебательных процессов колесных машин : конспект лекций / ПГАСА ; сост. Н. М.  Ершова, В. И. Ершов. – Днепропетровск : ПГАСА, 2001. – 148 с.


Ершова Н. М. Современные методы теории проектирования и управления сложными динамическими системами : монография / Н. М. Ершова. – Днепропетровск : ПГАСА, 2016. – 272 с.


Крутько П. Д. Алгоритмы и программы проектирования автоматических систем / П. Д. Крутько, А. И. Максимов, Л. М. Скворцов ; под ред. П. Д. Крутько. – Москва : Радио и связь, 1988. – 306 с.


Инструкция пользователя программным комплексом «Моделирование в технических устройствах» (ПК «МВТУ», версия 3.6) / О. С. Козлов, Д. Е. Кондаков, Л. М. Скворцов, В. В. Ходаковский. – Москва : Изд.во МГТУ им. Н. Э. Баумана, 2008. – 187 с.


Методы классической и современной теории автоматического управления : учебник для вузов : в 5 т. / под ред. К. А. Пупкова, Н. Д. Егупова. – 2-е изд., перераб. и доп. – Москва : МГТУ им. Н. Э. Баумана, 2004. – (Методы теории автоматического управления).


Практикум по автоматике. Математическое моделирование систем автоматического регулирования / под ред. Б. А. Карташова. – Москва : КолосС, 2004. – 184 с.


  • There are currently no refbacks.