Course detail

# Theory of Systems

In this course students will learn about the different possibilities of theoretical description of the systems and thein solutions. The system is understood as a set of elements, processes and relationships of technical, economic, social, real and abstract objects.System solution can be both continuou, discrete and discretized, linear, nonlinear, time-invariant or time-variant. Particular attention is paid to feedback systems (control and regulation systems). The students will learn also the basics of Matlab-Simulink.

Learning outcomes of the course unit

Student can
- analyse basic properties of simple linear and nonlinear dynamical systems
- design simple control blocks for continuous time linear systems
- design basic control algorithms for discrete time linear systems
- analyse stability of linear and nonlinear dynamical systems
- simulate dynamical systems in Matlab-Simulink

Prerequisites

Knowledge of math, especially integration and derivation, ordinary differential equations solution, Laplace and z-transform, basics of linear algebra, complex numbers computations, probability and statistics.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

J.Štecha: Obecná teorie systémů, ČVUT (CS)
P.Vavřín: Teorie dynamických systémů , VUT. (CS)

Planned learning activities and teaching methods

The course contains lectures that explain basic principles, problems and methodology of the discipline, and exercises that promote the practical knowledge of the subject presented in the lectures.

Assesment methods and criteria linked to learning outcomes

30 points projects
70 points written exam
Conditions for awarding the course-unit credit:
1. Active participation in exercises
2. Minimum of 10 points awarded for projects

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

1. Introduction to systems theory
2. Dynamical systems description
3. Continuous time linear control systems, introduction.
4. Continuous time linear control systems analysis.
5. Continuous time linear control systems synthesis.
6. Discrete time linear control systems analysis.
7. Discrete time linear control systems synthesis.
8. Nonlinear control circuits, comparison of linear and nonlinear systems.
9. Principles of nonlinear control systems design.
11. Discrete event systems.
12. Finite automata and Petri nets
13. Summary

Aims

The main objective of the course is to provide basic knowledge of the control systems dynamics analysis and principles of their design. The student should understand these industry wide-used methods and be able to generalize them to other scientific fields.

Classification of course in study plans

• Programme MGR-SI Master's

branch MGR-IM , 2. year of study, winter semester, 5 credits, compulsory

#### Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

Exercise

26 hours, compulsory

Teacher / Lecturer

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