Course detail

# Introduction to Cybernetics

Introduction to the technical cybernetics.
The physical signals – kinds and ways of description.
Integration and derivation in view of signals, introduction to modelling.
Definition of the system, the system types and their properties (linearity, time-invariance, causality, etc.).
Systems – inputs/outputs, the ways of the systems description, energy accumulators and system order, examples of basic systems.
The system structures (serial, parallel, antiparallel), explanation of positive/negative feedback.
Stability of the systems, feedback use and the basic principle of automatic control, main types of the controllers (regulators).
Possibilities and types of control.

Language of instruction

Czech

Number of ECTS credits

3

Mode of study

Not applicable.

Learning outcomes of the course unit

Absolvent is able to:
- describe basic signals by mathematic equations,
- define system and its basic properties (linearity, time-invariance, causality, etc.),
- distinguish between different kinds of systems and their structures,
- explain the terms system stability, system order and feedback,
- describe the basic principle of automatic control and enumerate several kinds of controllers (regulators),
- model and simulate simple systems using Matlab/Simulink.

Prerequisites

The basic knowledge of mathematics, physics and electrical engineering at the level of the 1st year Bachelor studies.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Techning methods include lectures, computer labs, individual project, and final test.

Assesment methods and criteria linked to learning outcomes

The course is completed with a credit.

To be awarded credit, it is necessary:
- complete computer exercises
- develop and defend an individual project
- get min. 50% of the points from the final test

Course curriculum

Lectures:
1. Introduction to the technical cybernetics.
2. Signals – definition, types, properties. A/D and D/A conversion. Mathematical description of the basic signals.
4. Static and dynamic systems. System state, system energy, accumulators of energy and system order.
5. Control - definition, types, properties. Examples of control.
6. Basic types of controlled systems (processess), their properties and examples.
7. Feedback and the basic principle of automatic control, main types of the controllers (regulators).
8. Summary. Example of a control implementation.

Computer labs:
1. Introduction to MATLAB/Simulink, basic opeations with signals.
2. Modelling and simulation of basic systems.
3. Controlled plants and their properties.
4. Demonstration of implemented control solution(s).
5. Final examination (test).

Work placements

Not applicable.

Aims

The goal of this course is to provide an overview and explanation of the basic concepts and principles used in automation and cybernetics. Other goal is to demonstrate on the practical examples description of systems and signals in the time domain and frequency domain and to prepare the students for following course Signals and Systems. Furthermore, the course also aims showing and explanation of the relationships between the signals/systems and the knowledge obtained in other courses.

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

Participation at lectures is optional, computer labs are compulsory.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

ŠVARC, Ivan. Základy automatizace. Elektronické skriptum, Brno 2002. (CS)
OPENHEIM, Alan, WILSKY, Alan. Signals and Systems. Second edition. New Jersey: Prentice Hall 1997, 957 s. ISBN 0-13-814757-4. (EN)

Not applicable.

Elearning

Classification of course in study plans

• Programme BPC-AMT Bachelor's 1 year of study, summer semester, compulsory

#### Type of course unit

Lecture

16 hod., optionally

Teacher / Lecturer

Syllabus

1. Úvod do technické kybernetiky.
2. Pojem „signál“ – definice, druhy fyzikálních signálů a jejich vlastnosti, A/D a D/A převod. Matematický popis základních druhů signálů. Význam derivace a integrace z pohledu signálů.
3. Signálové toky a základy modelování. Pojem „systém“ – definice, druhy systémů a jejich vlastnosti (linearita, časová invariance, kauzalita, apod.).
4. Statické a dynamické systémy. Stav systému, energie systému, akumulátory energie a řád systému. Stabilita systému. Příklady a ukázka jednoduchých systémů, analogie s RLC systémy.
5. Pojem „řízení“ – definice, druhy řízení, řízení z pohledu technické kybernetiky, příklady řízení.
6. Základní typy řízených soustav (procesů) a jejich vlastnosti, příklady reálných soustav.
7. Využití zpětné vazby a princip regulace. Základní typy regulátorů (PID, on-off, a další) a jejich použití.
8. Shrnutí a opakování učiva, ukázky reálné implementace řízení.

Exercise in computer lab

10 hod., compulsory

Teacher / Lecturer

Syllabus

10. Implementace jednoduchého modelu v prostředí Simulink.
11. Modelování a simulace základních systémů.
12. Ukázka implementace řízení.
13. Závěrečný test.

E-learning texts

02_Signály
02_Signály.pdf 1.77 MB
04_Systémy II
04_Systémy II.pdf 1.42 MB
06_Regulace I
06_Regulace I.pdf 1.33 MB
ŠVARC, I.: Základy automatizace, skriptum VUT v Brně, FSI, CERM Brno 2002.