Course detail


FSI-6AAAcad. year: 2018/2019

The primary aim of the course is to provide the students with the complete knowledge of the automation and control systems.
The first part of the course makes the students familiar with the logic circuits. It presents logic functions, logic elements, combinational and sequential logic circuits. Minimization of logic functions (Karnaugh map) is discussed.
The second part includes the foundations of linear continuous systems analysis using the transfer function and impulse response of feedback control systems. Mathematical preliminary is the Laplace transform. This part covers the basic feedback theory and stability, accuracy and quality of regulation.
The third part of the course includes the foundations of digital control. It presents mathematical preliminary (Z - transform), digital transfer function and difference equations. It deals with stability condition, stability analysis through bilinear transformation and PID - control algorithm through Z - transform.

Learning outcomes of the course unit

Analysis and design of linear continuous-time and discrete feedback control systems. Students will obtain the basic knowledge of automation, description and classification of control systems, determination of their characteristics. Students will be able to solve problems stability of control systems.


Fundamental concepts in mathematics including the solution of the system of differential equations . Fundamental concepts in physics (particularly dynamics) and electrical engineering.


Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

Švarc, I., Matoušek, R., Šeda, M., Vítečková, M.: Automatizace-Automatické řízení, skriptum VUT FSI v Brně, CERM 2011. (CS)
Dorf,R.C.-Bishop,R.H.: Modern Control Systems,Addison-Wesley Publishing Company, New York 1995, ISBN 0-201-845559-8 (EN)
Raymond T. Stefani, Bahram Shahian, Clement J. Savant, Gene H. Hostetter: Design of Feedback Control Systems. Oxford University Press, 2001. ISBN-10: 0195142497 (EN)
Kuo,B.C.: Automatic Control Systems,Prentice-Hall International Editions, Sixth Edition, New Jersey 1991, ISBN 0-13-053505-2 (EN)
Ogata,K.: Modern Control Engineering, Prentice Hall, fourth edition, New Jersey 2002, ISBN 0-13-043245-8 (EN)
Švarc,I.: Teorie automatického řízení, podpory FSI, www stránky fakulty 2003 (CS)
Franklin, G.F., Powell, J.D. and Emami-Naeini, A.: Feedback Control of Dynamic Systems. Prentice-Hall, New Jersey, 2002. ISBN 0-13-098041-2. (EN)
Švarc, I., Matoušek, R., Šeda, M., Vítečková, M.: Automatizace-Automatické řízení, skriptum VUT FSI v Brně, CERM 2011. (CS)
Morris, K.: Introduction to Feedback Control. Academic Press, London, 2002. ISBN 0125076606. (EN)

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. Teaching is suplemented by practical laboratory work.

Assesment methods and criteria linked to learning outcomes

In order to be awarded the course-unit credit students must prove 100% active participation in laboratory exercises and elaborate a paper on the presented themes. The exam is written and oral. In the written part a student compiles two main themes, which were presented during the lectures, and solves three examples. The oral part of the exam will contain discussion of tasks and possible supplementary questions.

Language of instruction


Work placements

Not applicable.


The aim of the course is to formulate and establish basic conceptions of automatic control, computational models, theories and algorithms of control systems.

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

Attendance and activity at the seminars are required. One absence can be compensated for by attending a seminar with another group in the same week, or by the elaboration of substitute tasks. Longer absence can be compensated for by the elaboration of compensatory tasks assigned by the tutor.

Classification of course in study plans

  • Programme B3A-P Bachelor's

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

  • Programme B3S-P Bachelor's

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

  • Programme M2I-P Master's

    branch M-LPR , 1. year of study, summer semester, 5 credits, compulsory-optional

Type of course unit



26 hours, optionally

Teacher / Lecturer


1. Introduction to automation. Logic control, logical functions, Boolean algebra laws, formulation of Boolean functions, minimisation using Boolean algebra laws and Karnaugh's maps.
2. NAND, NOR, combinatorial logical circuits, sequential logical circuits, programmable logic controllers.
3. Continuous linear regulation circuit, regulation principle, external and internal description, Laplace transform, differential equation, Laplace transfer.
4. Impulse response function and impulse characteristic, unit step response function and unit step characteristic, classification of regulation elements.
5. Frequency transfer, frequency response in complex plane and logarithmic coordinates, poles and zeroes, block diagram algebra.
6. Controllers, regulation circuit, characteristic equation (stability), Ziegler-Nichols method (simulation version).
7. Stability of linear feedback systems, (necessary and sufficient condition of stability), algebraic stability criteria.
8. Frequency stability criteria, accuracy of regulation (steady-state analysis).
9. Quality of regulation, Ziegler-Nichols method (numerical version), tuning of controllers using unit step response characteristic of controlled system, transport delay, synthesis of regulating circuit.
10. Discrete regulation circuit, sampling circuit (A-D converter), data-hold circuit (D-A converter), Z-transform, difference equation.
11. Z-transfer, discrete impulse response function and characteristic, discrete unit step response function and characteristic, frequency transfer, frequency characteristic in complex plane.
12. Block diagram algebra of discrete systems, digital controllers (positional and incremental algorithm), stability of discrete regulation circuit (general condition).
13. Stability criteria of discrete regulation circuits.

Computer-assisted exercise

22 hours, compulsory

Teacher / Lecturer


1. Logic control (algebraic minimisation of logical functions, block diagrams, Siemens LOGO!Soft).
2. Logic control (formulation in words, truth table, minimisation using Karnaugh's map, combinatorial logical circuits - simulation).
3. Logic control (sequential logical circuits – simulation).
4. Continuous linear control (differential equation, transfer, impulse response and unit step response function, impulse and unit step characteristic, simulation in LabVIEW+MathScript.
5. Continuous linear control (frequency transfer, frequency characteristic in complex plane, frequency characteristics in logarithmic coordinates, simulation).
6. Continuous linear control (block diagram algebra, controllers, simulation).
7. Continuous linear control (regulation circuit, stability of regulation circuit, simulation).

10. Continuous linear control (Ziegler-Nichols method in numerical version, stability criteria of regulation circuit, simulation).
11. Continuous linear control (accuracy of regulation (steady-state analysis), quality of regulation, simulation).
12. Test in written form.
13. Credit, reparation of test.

labs and studios

4 hours, compulsory

Teacher / Lecturer


8. Laboratory exercise (laboratory of programmable controllers, laboratory of electrical equipments).
9. Laboratory exercise (laboratory of programmable controllers, laboratory of electrical equipments).