Course detail

Introduction to Automatic Control

FSI-RREAcad. year: 2019/2020

Control theory of linear systems, mathematical models of dynamic systems, state space equations, transfer functions, feedback systems, stability of feedback systems,basic types of controllers P, I, PI, PD, PID, design algorithms of controllers, state feedback control, state feedback control with an observer, discrete linear systems, Z-transform, design of digital controllers, discrete state control

Learning outcomes of the course unit

Students will be able to solve the performance of dynamic systems in the time and in the frequency area They will learn how to design feedback controllers and how to apply it the acquired knowledge for with respect to position servodrives of NC machines and robots.


Calculations with complex numbers, linear differential equations, Laplace transform, matrix calculus


Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

Skalický, Jiří: Teorie řízení 1 skripta VUT v Brně, FEKT, 2002
Vavřín, P.: Teorie automatického řízení skripta VUT v Brně, 1991
Ogata, K.: System Dynamics Prentice Hall 1992
Ogata, K.:Modern Control Engineering Prentice Hall, 1997

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

Assesment methods and criteria linked to learning outcomes

The course-unit credit awarded on condition of having worked out given problems. Individual solution is expected applying program MATLAB/SIMULINK. Eexamination takes form of a written test

Language of instruction


Work placements

Not applicable.


The aim of the course is to teach students to understand the relation between a real dynamic system, its mathematical model and the goal of a feedback control of this system.

Specification of controlled education, way of implementation and compensation for absences

Attendance at practical training is obligatory.

Classification of course in study plans

  • Programme B3A-P Bachelor's

    branch B-MET , 2. year of study, summer semester, 5 credits, compulsory

Type of course unit



26 hours, optionally

Teacher / Lecturer


1.Introduction, dynamic systems, mathematical models
2. State space equations of dynamic systems
3. Transfer functions, frequency response, time response
4. Block diagrams of control systems
5. Feedback systems, stability
6. Design of controllers, types of controllers
7. State feedback control
8. State feedback control with an observer
9. Digital control systems
10. Discrete control theory, Z-transform
11. Design methods of digital controllers
12. Discrete state control
13. Dead-beat control


26 hours, compulsory

Teacher / Lecturer


Laboratory exercises with MATLAB
1. Introduction to MATLAB and SIMULINK
2. Analysis of dynamic systems, mechanic and electromechanical systems
3. State equations, solution of state equations, SIMULINK models
4. Derive of transfer functions and frequency responses
5. Types of transfer functions, time response
6. Miniproject: feed drive: block diagram, system analysis
7. Miniproject: design of speed- and position controllers
8. Miniproject: simulation of dynamic behaviour, interpolation in the plane
9. Control of systems with elastic coupling, state controller
10. Design of a discrete PID controller
11. Design of a state controller with an observer
12. Design of a state controller "dead-beat"
13. Structures of control systems, hardware, software

E-learning texts

Skalický, J.: Teorie řízení - skripta (cs)