SubjectsSubjects(version: 949)
Course, academic year 2023/2024
Control Theory - AM445003
Title: Control Theory
Guaranteed by: Department of Mathematics, Informatics and Cybernetics (446)
Faculty: Faculty of Chemical Engineering
Actual: from 2023
Semester: winter
Points: winter s.:5
E-Credits: winter s.:5
Examination process: winter s.:
Hours per week, examination: winter s.:2/2, C+Ex [HT]
Capacity: unlimited / unlimited (unknown)
Min. number of students: unlimited
Language: English
Teaching methods: full-time
Teaching methods: full-time
For type: Master's (post-Bachelor)
Guarantor: Mareš Jan doc. Ing. Ph.D.
Vrba Jan Ing. Ph.D.
Interchangeability : M445003, N445017, S445017
Is interchangeable with: M445003
This subject contains the following additional online materials
Last update: Kubová Petra Ing. (23.01.2018)
Control Theory course deals with basic principles and methods of feedback control of single-input single-output linear dynamic systems. Students are acquainted with mathematical basics of control theory, with methods of modelling and analysis of controlled and control systems, with important types of feedback controllers, with stability of control systems and with basic method of feedback control systems design in the time domain. All methods and procedures are used for solving of selected examples. For modelling, analysis and design of control systems and for solving of problems and projects is used Matlab system for computation and visualization.
Aim of the course
Last update: Soušková Hana Ing. Ph.D. (01.02.2018)

Students will be able to:

  • solve basic computational and visualization tasks in the area of automatic control system in the environment of Matlab and its Control System Toolbox
  • investigate properties of t-invariant linear dynamical systems and determine their stability
  • design controller parameters using empirical and integral methods, design state controller and discrete controller with a finite number of steps
  • validate theoretical conclusions by simulation and analysis of time resposes of the system and by their visualization
  • carry out synthesis of simple control loop and improve its dynamic performance using simulation experiments

Last update: Soušková Hana Ing. Ph.D. (01.02.2018)

R: Pao, C. Chau: Process Control: a First Course with MATLAB. Cambridge University Press, Cambridge, 2002, 0-521-00255-9.

R: Benjamin C. Kuo: Automatic Control Systems. Prentice-Hall, 1991, 0-13-051046-7.

R: Manke B.S.: Linear Control Systems.Khanna Publishers, 2009. 81-7409-107-6.

A: Franklin, G. F., Powell, J. D., Emami-Naeini, A.: Feedback Control of Dynamic Systems. Prentice-Hall, New Jersey, 2002, 0-13-098041-2.

Learning resources
Last update: Soušková Hana Ing. Ph.D. (01.02.2018)

Syllabus -
Last update: Soušková Hana Ing. Ph.D. (06.08.2018)

1. Dynamic systems description. Fundamentals of Laplace transform.

2. External description of dynamic t-invavariant systems.

3. Continuous-time system analysis. Time response analysis of dynamic systems.

4. Internal description of dynamic systems.

5. Stability analysis of dynamic systems.

6. Algebra of block diagrams. Transfer functions. Negative feedback. Cloosed-loop control system.

7. PID controllers, description and characteristics of basic types of controllers. Stability of control systems.

8. Quality of control performance, their criteria and comparison.

9. Empirical methods of control design.

10. Standard methods of control design. Optimal module and integral criteria.

11. Control design in state space. Controllability, observability.

12. Discrete-time systems description. Z-transform. Sampling.

13. Control design in discrete-time domain.

14. PSD controllers.

Registration requirements
Last update: Soušková Hana Ing. Ph.D. (01.02.2018)

Algorithms and Programming, Mathematics I, Measuring and Control Engineering

Course completion requirements
Last update: Soušková Hana Ing. Ph.D. (01.02.2018)

Assessment: Three individual projects

Exam: Written test I: 0-20 points

Written test II: 0-60 points

Oral exam: 0-20 points

Teaching methods
Activity Credits Hours
Účast na přednáškách 1.5 42
Práce na individuálním projektu 1 28
Příprava na zkoušku a její absolvování 1 28
Účast na seminářích 1.5 42
5 / 5 140 / 140