Course detail

Theory of Systems

FP-ItsPAcad. year: 2012/2013

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.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

prof. Ing. Pavel Václavek, Ph.D.

Department

Department of Control and Instrumentation (UAMT)

Learning outcomes of the course unit

Knoledge in the field of dynamical systems analysis and synthesis, basic abilities of control structures design. The knowledge can be applied in technical and social science.

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.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

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

Course curriculum

Not applicable.

Work placements

Not applicable.

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.

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

Not applicable.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

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

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme MGR-SI Master's

    branch MGR-IM , 1 year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. Ing. Pavel Václavek, Ph.D.

Syllabus

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.
10. Advanced control methods.
11. Discrete event systems.
12. Finite automata and Petri nets
13. Summary

Exercise

26 hod., compulsory

Teacher / Lecturer

Ing. Dušan Zámečník
Ing. Libor Veselý, Ph.D.

Syllabus

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.
10. Advanced control methods.
11. Discrete event systems.
12. Finite automata and Petri nets
13. Summary