638-2022/01 – Methods of Systems Description (MPS)
Gurantor department | Department of Automation and Computing in Industry | Credits | 4 |
Subject guarantor | prof. Ing. Zora Koštialová Jančíková, CSc. | Subject version guarantor | prof. Ing. Zora Koštialová Jančíková, CSc. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 2 | Semester | summer |
| | Study language | Czech |
Year of introduction | 2019/2020 | Year of cancellation | |
Intended for the faculties | FMT | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
Student will be able to formulate the basic terms of system theory and system applications.
Student will be able to identify characteristics and behaviour of static a dynamic systems.
Student will be able to analyze problems of mathematical description and behaviour of static a dynamic systems.
Teaching methods
Lectures
Tutorials
Project work
Summary
Subject introduces to basic terms of system theory and system applications. Methods and tools for system identification are discussed. Students will gain a basic overview of the mathematical description, properties and behaviour of static and dynamic systems (graph theory - code description of matrix systems, CPM method, Laplace transform, static and dynamic characteristics).
In practice students are introduced to Boolean algebra of logic basis, methods of mathematical description, minimisation and modelling of logic systems.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Písemný test a ústní zkoušení.
E-learning
VÍTEČKOVÁ, M. Matematické metody používané v oblasti automatizace a řízení.
Dostupné z: http://books.fs.vsb.cz/MatMet/ATR.htm.
Other requirements
active participation in seminars
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Basic concepts of systems theory.
2. Subsystems and sub-systems hierarchy.
3. Behaviour of the system, its status and characteristics.
4. Classification of systems according to various aspects.
5. Model, identification, modelling and simulation of systems.
6. Control of systems. - general principle of control, types of control.
7. Static systems - mathematical description, examples of static systems.
8. Graph theory - basic concepts, code system description by matrices.
9. Critical Path Method (CPM).
10. Dynamic systems - mathematical description, examples of dynamic systems.
Basic dynamic characteristics.
11. Laplace transformation - basic properties, solution of linear
differential equations using Laplace transformation, transfer of
continuous functions.
12. Static and dynamic properties of dynamic of systems.
13. Classification of systems according to order of linear differential
equations.
14. Logic Systems - fundamentals of Boolean algebra of logic, basic rules of
logic functions modelling, minimisation of logic functions.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction