The purpose of studying the discipline is the formation of students’ abilities:

• to analyze and synthesize linear automatic control systems, using the basic provisions of control theory;
• use special methods of construction and research of control systems;
• apply mathematical knowledge in the process of designing and building mathematical models of automatic control systems;
• analyze the time and frequency characteristics of automatic control systems.

The task of  studying the discipline is to form a system of subsequent knowledge and skills .

Knowledge:

• methods of research of automatic and automated simple control systems;
• calculation of automatic control systems for stability.

Skills:

• to evaluate the automatic control system according to the criteria of stability and rather complex technological processes
• perform calculations of specific devices and automation systems based on standard regulators and controllers
• evaluate the benefits of automation, which is to increase productivity and improve working conditions; performance of works in hard-to-reach or inaccessible to the person spheres; improving the accuracy, quality of technological processes; growth of reliability and technical and economic indicators and the general culture of production.

Students study the characteristics of transmission links, corrective devices of automatic control systems in the Matlab environment.

CONTENT OF THE STUDY MATERIAL

Section 1.  Fundamentals of the theory of automatic continuous control systems.

• Topic 1.1  General principles of building automatic control systems.
• Topic 1.2  Methods of mathematical description of elements and control systems.
• Topic 1. 3  Dynamic characteristics of typical units and systems.

Section 2.  Methods for assessing the stability and quality of linear systems.

• Topic 2.1  Analysis of the stability of linear systems.
• Topic 2.2  Methods for assessing the quality of the regulatory process.
• Topic 2.3  Ways to improve the quality of management (synthesis tasks)
• Topic 2.4  Pulse and digital linear SAC.

1. The purpose and objectives of the credit module

The purpose of studying the discipline is the formation of students’ competencies:

– ability to calculate and use individual elements of automation systems and equipment, elements of the theory of collection and processing of technological information, the formation of control signals for transmission to the executive authorities;

– the ability to create universal, most effective algorithms for the study of electrical systems on a computer.

The study of the material of this discipline is focused on the widespread use of computer technology.

2. The main tasks of the credit module:

According to the requirements of the curriculum, students after mastering the credit module must demonstrate the following learning outcomes:

KNOWLEDGE :

– know the purpose and possibilities of using elements of automation systems;

– know the place and role of elements of automation systems in the automation of industrial production;

– know the classification of elements of automation systems;

– know special purpose devices;

– know about the main directions in the development of system elements;

SKILLS :

– to build block diagrams in the state space of automatic control systems using different methods;

– to give the analysis and the description of processes of electromechanical conversion of energy, to choose measures and means of energy saving and to make their analysis;

– build automation systems for technological facilities and calculate their elements;

– apply numerical integration in solving problems of mathematical modeling;

 – analyze quality indicators and identify opportunities for automation systems;

– choose the technical means to compile a given system configuration;

– to confirm the capabilities of the developed automation system, its economic efficiency and reliability.

TABLE OF CONTENTS TRAINING MATERIAL
Section 1. Industrial networks and levels of industrial networks.
• Topic 1.1. OSI and TCP / IP reference models. Levels of industrial networks.
• Topic 1.2. Implementation of industrial networks at the physical level.
Section 2. Standard serial interfaces
• Topic 2.1. Coding of information.
• Topic 2.2. Communication interfaces of industrial controllers.
Section 3. Communication protocols.
• Topic 3.1. Basic protocols of industrial networks.
• Topic 3.2. Modbus protocol.
Section 4. Elements of computer automation systems.
• Topic 4.1. Programmable logic controllers
• Topic 4.2. Computer in automation systems
• Topic 4.3. Input / output means
• Topic 4.4. Microprocessor automation tools.
• Topic 4.5. Means of communication of automation elements with industrial computers
Section 5. Programming of computer systems
• Topic 5.1. IEC 61131-3 programming languages.
• Topic 5.2. Scada packages

• use modern methods of computer mathematics systems to solve engineering problems in the field of power engineering, electrical engineering and electromechanics;
• create and apply algorithms to solve typical problems;
• solve basic symbolic and numerical problems, construct graphs of functions, solve linear and nonlinear equations, use numerical integration and solution of differential equations of different classes.

The discipline “Integrated systems of computer mathematics” consists of 3 sections:

• Section 1. Introduction to the discipline “Integrated systems of computer mathematics”:
  Topic 1.1. Review and comparative analysis of basic computer mathematics systems.
  Topic 1.2. Use of structural and object-oriented programming by means of ISKM
• Section 2. MathCAD integrated system:
  Topic 2.1. Consideration of the main properties of the software package MathCAD. Automated design systems. System user interface.
  Topic 2.2. Calculation of results of mathematical operations. Numeric constants, variables, functions, etc. Operations with vectors and matrices.
  Topic 2.3. Plotting graphs of functions.
  Topic 2.4. Using the MathCAD system to solve nonlinear equations. Numerical integration.
  Topic 2.5. Approximation of functions. Solving systems of differential equations. Systems with variable parameters.
• Section 3. MATLAB integrated system:
  Topic 3.1. MATLAB system. The main components of the user interface. Interactive environment. Getting started with the system.
  Topic 3.2. Mathematical calculations. Creating algorithms. Working area of ​​the environment. Graphic capabilities of the system. Construction of function graphs.
  Topic 3.3. Using the Matlab system to solve nonlinear equations. Numerical integration. Using the Matlab system to solve differential equations.
  Topic 3.4. Environment expansion packages. SIMULINK. TOOLBOXES. The main purpose of mathematical packages. Areas of application. Using special methods to work with the environment.

Basic literature:

1. Lozynsky AO Solving problems of electromechanics in the environments of MathCAD and MATLAB packages / AO Lozynsky Lozynsky, VI Moroz, Ya.S. Paranchuk: Textbook. – Lviv: Lviv Polytechnic State University Publishing House, 2000. – 166 p.
2. Lavrentik AI MathCAD. Lecture notes / AI Лаврентик, О.А. Tuzenko: Mariupol: PSTU, 2010. – 114 p.
3. Information technologies: Systems of computer mathematics [Electronic resource]: textbook. way. for students. specialties “Automation and computer-integrated technologies” / IV Kravchenko, VI Mykytenko; KPI them. Igor Sikorsky. – Electronic text data (1 file: 5.57 MB). – Kyiv: KPI named after Igor Sikorsky, 2018. – 243p.
4. Revinskaya OG R32 Fundamentals of programming in MatLab: textbook. allowance. – СПб .: БХВ-Петербург, 2016. – 208 с.
5. Мирановский Л.А. Introduction to MATLAB: Textbook. manual / LA Mironovsky, K. Yu. Petrova; GUAP. – СПб., 2006. – 164 с.

Supporting literature:

1. Govorukhin V., Tsibulin V. Computer in mathematical research. Training course. – СПб .: Питер, 2001. – 624 с .: ил.
2. Dyakonov VP Mathematical system Maple V R3 / R4 / R5. – M .: “SO-LON”, 1998.
3. Plis AI, Slivina NA Mathcad: mathematical workshop. – Moscow: Finance and Statistics. –1999.
4. Dyakonov VP, Abramenkova IV MathCAD 7 in Mathematics, Physics and the Internet. – М: Нолидж, 1998. – 352 с.

Information resources

http: // uk.wikipedia.org – Website of the world-famous electronic encyclopedia
http://www.exponenta.ru – Educational mathematical website
http://planetmath.org – Website of the world mathematical encyclopedia
http: / /allmatematika.ru – Mathematical forum
http://www.forum.softweb.ru – Web-page of the forum of mathematical and engineering software
http://model.exponenta.ru – Web-site of modeling of systems and phenomena

Link to Moodle: https://do.ipo.kpi.ua/course/view.php?id=511

Solving the second-order differential equation with a special nonlinear part using Matlab:

function du = diffsys (t, u); %
declaration of the function for the solution of the system global a1 a2% declaration of constants
% explanation
% u (1) -> x (t)
% u (2) -> dx / dt
% du (1) -> dx / dt
% du (2) -> d2x / td2
% system in Cauchy form:
d2x / dt2 = -F (x) – a1 dx / dt – a2 x; % record of the right part of the system
du = zeros (2,1); % blank from zeros
du (1) = u (2);
du (2) = -F (u (1)) – a1 u (2) -a2 u (1);

function y = F (x)
global M2 l1 l2 f1; % declaration of constants
y = zeros (size (x)); % blank from zeros
for i = 1: numel (x)
if x (i) <0
y (i) = -M2;
elseif x (i) <= l2
y (i) = 0;
elseif x (i) <l1
y (i) = (x (i) -l2) / (l1-l2) * f1;
else
y (i) = f1;
end
end

global a1 a2 M2 l1 l2 f1% declaration of constants
% values ​​of variables:
a1 = 1;
a2 = 0.1;
M2 = 10;
l1 = 0.4;
l2 = 0.2;
f1 = 50;
% time range:
tk = [0, 8];
% initial conditions:
x0 = [-6, 4];% x (0), x` (0)
% we solve:
[TX] = ode45 (‘diffsys’, tk, x0);
plot (T, X, T, F (X (:, 1)))% graph output
grid on%
legend (‘x (t)’, ‘x ”(t)’, ‘F (x)’)% signature
xlabel curves (‘t’)

The purpose of studying the discipline – the formation of the student’s theoretical and practical knowledge of building digital models of electromechanical systems and creating effective control algorithms for their study in practice. The study of the material of this discipline is focused on the widespread use of computer technology.
The subject of the discipline is digital control systems for electrical systems.
The result of studying the discipline is the formation of students’ abilities:

• ability to provide modeling of electrotechnical and electromechanical objects and technological processes of production, transmission and distribution of electric energy with use of standard packages and means of automation of engineering calculations, to carry out experiments according to the set techniques with processing and the analysis of results;
• ability to identify, classify and describe the operation of systems and components through the use of analytical methods and modeling methods;
• ability to demonstrate knowledge and skills in conducting experiments, data collection and modeling in electrical, electrical and electromechanical systems.

The discipline “Digital control systems of electrical systems” consists of 3 sections:

• Section 1. Introduction to the course “Digital control systems of electrical systems”:
  Topic 1.1. Theoretical bases of construction of digital control systems.
  Topic 1.2. Sampling of continuous systems based on Z-transform and Z-forms.
• Section 2. Digital control of dynamic objects:
  Topic 2.1. Digital control of open and closed systems.
  Topic 2.2. Implementation of digital regulators.
• Section 3. Optimization of dynamic modes of the CSB:
  Topic 3.1. Use of delayed links and standard controllers in optimal control systems.
  Topic 3.2. Digital control of the electric drive.

Basic literature:

1. Goncharenko, BM Basic concepts of discrete systems / BM Goncharenko, AP Ladanyuk, OP Lobok // Digital control systems: textbook. manual. – Vinnytsia: Nova Kniga, 2007. – 160 p.
2. Analysis, synthesis and design of digital control systems: textbook. manual-nickname / SM Yesaulov, OF Babicheva; Kharkiv. nat. un-t city. household in them. OM Beketova. – Kharkiv: KhNUMG them. OM Beketova, 2018. – 150 p.
3. Johnson MA, Moradi MH PID Control. New Identification and Design Methods. – London: Springer, 2005. —544 p.
4. Kuo B. Theory of digital control systems design. – M .: Mashi-nostroenie, 1986.-448p.
5. Sharuda VG Workshop on the theory of automatic control. Textbook.-Dnepropetrovsk: NDTU, 2002.-414p.
6. O’Dwyer A. Handbook of PI and PID Controller Tuning Rules. – Dublin: Dublin Institute of Technology, 2006. – 546 p.
7. A.O. Bobuh. Automated process control systems: Textbook. manual. – Kharkiv: KNAMG, 2006. – 185 p.
8. Gustav Olsson, Jungudio Piani. Digital automation and control systems.-SP b .: Nevsky Dialect, 2001 – 557 p.
9. Gribko VV Microprocessor control systems for electric drives / V.V. Грибко, В.Ю. Кучерук, О.М. Wozniak – Vinnytsia: VNTU, 2009. – 146 p.
10. Popovich MG Electromechanical systems of automatic control and electric drives / M.G. Popovich, O.Yu. Lozynsky. – К .: Либідь, 2005. – 680 с.
    11.Gultyaev AK MATLAB 5.3. Simulation in Windows: A practical guide.-St. Petersburg: Crown print, 2001.-402p.

Supporting literature:

1. Parr. E. Programmable controllers: a guide for the engineer / Parr E. lane. 3rd English izd.-M .: BINOM, 2007.-516 p.
2. Dyakonov VP Mathematical system Maple V R3 / R4 / R5. – M .: “SO-LON”, 1998.
3. Belov MP Engineering of electric drives and automation systems: textbook. manual / Zementov OI, Kozyaruk AE etc .; under ed. Novikova VA, Chernigova LM. – M .: Izd. Center “Academy”, 2006. – 416p.
4. Dyakonov VP, Abramenkova IV MathCAD 7 in Mathematics, Physics and the Internet. – М: Нолидж, 1998. – 352 с.

Information resources

http: // uk.wikipedia.org – Website of the world-famous electronic encyclopedia
http://www.exponenta.ru – Educational mathematical website
http://planetmath.org – Website of the world mathematical encyclopedia
http: / /allmatematika.ru – Mathematical forum
http://www.forum.softweb.ru – Web-page of the forum of mathematical and engineering software
http://model.exponenta.ru – Web-site of modeling of systems and phenomena

Link to Moodle:
https://do.ipo.kpi.ua/course/view.php?id=4166

Simulation of digital-analog control system was performed using Matlab-Simulink.

The purpose of the discipline
The purpose of studying the discipline is the formation of students’ competencies:
– the ability to build complex models of electrical systems;
– the ability to create universal, most effective algorithms for the study of electrical systems on a computer.
The study of the material of this discipline is focused on the widespread use of computer technology and programming.

The main tasks of the discipline.
According to the requirements of the educational-professional program, students after mastering the discipline must demonstrate the following learning outcomes:

KNOWLEDGE:

– know the basic generalized methods of modeling electrical systems;
– know and compose differential equations of parts of electric drive and automation systems;
– know and analyze transients in dynamic systems based on numerical-analytical methods and Z-transformation;

SKILLS:

– to build structural diagrams in the state space of automatic control systems using different methods of decomposition;
– to create structural schemes of algorithms of computer modeling of multimass elastic electromechanical systems and their analysis;

– apply numerical integration in solving problems of mathematical modeling.

Section 1. Introduction to the discipline “Modeling ETS”

Topic 1.1. Basic concepts and methods of computer modeling
Topic 1.2. Synthesis and analysis of mathematical models of physical systems

Section 2. Implementation of mathematical models

Topic 2.1. Automatic control algorithms
Topic 2.2. Regulators and nonlinear elements

Section 3. Analytical methods of modeling processes and systems

Topic 3.1. Numerical-analytical methods of modeling
Topic 3.2. Methods of discrete Z-transformation

Section 4. Modeling of complex ETS

Topic 4.1. Implementation of the main links of elastic systems
Topic 4.2. Modeling of complex multimass ETS

SIMULINK-model of a nonlinear system in MATLAB environment

Example of modeling a nonlinear dynamical system and graphical results in the Matlab environment

Recommended Books

1. Modeling of electromechanical processes and systems: Textbook. way. / О.В. Danilin, VM Chermalykh, P.V. Rosen. – K .: NTUU “KPI”, 2007. – 52 p.
2. Digital control systems for electric drive: textbook. way. / О.В. Chermalykh, OV Danilin, I.Ya. Maidansky, A.V. Bosak. – K .: NTUU “KPI”, 2012. – 72 p.
3. Modeling of electromechanical systems // Lecture notes for the study of the discipline “Modeling of electromechanical systems” for students majoring in 7.092203 – “Electromechanical automation systems and electric drive”. / Сост. A.V. Danylyn – K .: NTUU “KPI” IEE, 2006. – 72 p.
4. Using the MATLAB – Simulink package to model dynamic systems and devices: Method. instructions for laboratory, calculation and graphic works, course and diploma design for students. special 7.092203 – “Electromechanical automation systems and electric drive” and 7.092204 – “Electromechanical equipment of energy-intensive industries” / Compilers: OV Chermalykh, OV Danilin, VV Kuznetsov. – K .: IPC “Polytechnic”, 2004. – 72 p.