Course detail
Control Theory I
FSI-VA1-KAcad. year: 2024/2025
The introduction to the classical control theory is presented in the course. We focus on linear time-invariant systems (LTI) without delay with one degree of freedom in the transfer form and on the synthesis of PID controllers. The interpretation is demonstrated through the illustrations from different application areas. Synthesis of control systems can be easily carried out with the use of Matlab Control System Toolbox.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Entry knowledge
Rules for evaluation and completion of the course
Attendance and activity at the seminars are required. One absence can be compensated for by attending a seminar with another group in the same week, or by the elaboration of substitute tasks. Longer absence can be compensated for by the elaboration of compensatory tasks assigned by the tutor.
Aims
To be well informed about the foundations of classical control theory. To be able to choose and use adequate methods of PID controller synthesis for the solution of the given tasks.
Study aids
Prerequisites and corequisites
Basic literature
Schwarzenbach,J.-Gill,F.K.: System Modelling and Control, Butterwoth Heinemann, third edition, Oxford 2002, ISBN 0-340-54379-5
Recommended reading
Švarc,I.: Teorie automatického řízení, podpory FSI, www stránky fakulty 2003
Elearning
Classification of course in study plans
- Programme N-AIŘ-K Master's 1 year of study, winter semester, compulsory
Type of course unit
Guided consultation in combined form of studies
Teacher / Lecturer
Syllabus
2. Illustrations of models from different application domains
3. Analytical assembly of the transfer model
4. Introduction to the identification of transfer model
5. Quality of regulation. Synthesis of control systems using Root-Locus method
6. Lag, lead and lag–lead compensation
7. Ziegler–Nichols rules for tuning PID controllers
8. PID synthesis from frequency response
9. PID synthesis by computational optimization
10. Modifications of PID structures
11. Two-degrees-of-freedom control
12. Response improving by zeros placement
13. More detailed discussion of discrete models
Laboratory exercise
Teacher / Lecturer
Syllabus
2. Regulation of the water column height in the tank.
3. Control of DC motor.
4. Credit
Guided consultation
Teacher / Lecturer
Syllabus
2. Illustrations of continuous and discrete models
3. Transfer models of technical systems and their parameters
4. Methods of technical systems identification
5. PID controller design by using Root-Locus method, illustration of Lag, Lead and Lag–Lead compensation methods usage
6. Controller parameters tuning by Ziegler-Nichols method, controller parameters design by using frequency response
7. Controller parameters tuning by using optimization methods
8. Used structures of PID controllers
9. Illustrations of design and usage two-degrees-of-freedom controller
Elearning