Course detail

Control Theory I

FSI-VA1Acad. year: 2015/2016

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

Czech

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

prof. RNDr. Ing. Tomáš Březina, CSc.

Department

Institute of Automation and Computer Science (ÚAI)

Learning outcomes of the course unit

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.

Prerequisites

The knowledge of essential principles and terms of automation, the knowledge of mathematics gained within the bachelor's study programme, using of Matlab.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

Assesment methods and criteria linked to learning outcomes

In order to be awarded the course-unit credit students must prove 100% active participation in laboratory exercises and elaborate a paper on the presented themes. The exam is written and oral. In the written part a student compiles two main themes which were presented during the lectures and solves three examples. The oral part of the exam will contain discussion of tasks and possible supplementary questions.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The aim of the course is to formulate and establish a basic knowledge of classical control theory. To strengthen the knowledge by the understanding the context of the different methods of PID controller synthesis. To learn the methods of the synthesis.

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

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.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Bernard Friedland: Control System Design: An Introduction to State-Space Methods. Dover Publications, 2005. (EN)
Morris, K.: Introduction to Feedback Control. Academic Press, London, 2002. (EN)
Švarc, I., Matoušek, R., Šeda, M., Vítečková, M.: Automatizace-Automatické řízení, skriptum VUT FSI v Brně, CERM 2011. (CS)
Švarc, I.: Teorie automatického řízení, podpory FSI, www stránky fakulty 2003. (CS)

Classification of course in study plans

  • Programme N2301-2 Master's

    branch M-AIŘ , 1 year of study, winter semester, compulsory
    branch M-AIŘ , 1 year of study, winter semester, compulsory

Type of course unit

 

Lecture

39 hod., optionally

Teacher / Lecturer

prof. RNDr. Ing. Tomáš Březina, CSc.

Syllabus

1. Continuous vs. discrete systems/models, stability
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

Computer-assisted exercise

26 hod., compulsory

Teacher / Lecturer

Ing. Jiří Kovář, Ph.D.

Syllabus

1. Continuous and discrete variables, models
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
6. Illustration of Lag, Lead and Lag–Lead compensation methods usage
7. Controller parameters tuning by Ziegler-Nichols method
8. Controller parameters design by using frequency response
9. Controller parameters tuning by using optimization methods
10. Used structures of PID controllers
11. Illustrations of design and usage two-degrees-of-freedom controller
12. Illustrations of control quality improvements
13. Credit