Theory of Systems
FP-ItsPAcad. year: 2020/2021
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
- 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
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.
Recommended optional programme components
Recommended or required reading
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
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
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.