Course detail

Control Theory 1

FEKT-BRR1Acad. year: 2018/2019

Basic terms is Control Theory .Feedforward and feedback control. Simple on-off and proportional control(continuous and discrete type). Performance evaluation of feedback controllers. Stability of feedback systems. Steady state and dynamics errors. Root locus method and frequency analysis. PID controllers. Systems with multi feedback loops. Digital PSD controllers. Multivariable feedback control.

Learning outcomes of the course unit

Ability to apply measuring and control systems. Ability o design, use and maintain systems of applied infromatics. Automation of industry technologies.


The subject knowledge on the secondary school and appropriate mathmatics are requested.


Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

Vavřín:Teorie řízení 1,VUT 1991 (CS)
Distefano, J. J., Stubberud, A. R. and Williams, I. J.: Feedback and Control Systems. McGraw-Hill Companies, 1994. (EN)
Vavřín,Zelina:Automatické řízení počítačem,SNTL 1982 (CS)
Blaha, P., Vavřín, P.: Řízení a regulace I. Základy regulace lineárních systémů - spojité a diskrétní. Elektronické skriptum VUT. (CS)

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. Materials for lectures and exercises are available for students from web pages of the course. Students have to write a single project/assignment during the course.

Assesment methods and criteria linked to learning outcomes

30 points from tests and activity during seminars and computer exercises
70 points from final written exam

Language of instruction


Work placements

Not applicable.

Course curriculum

1. Introduction. Control Systems. Open- Loop and Closed - Loop circuits. Examples of Control Systems. Terminology. Basic variables in Control
2. Controlled Plants. Identification and approximation of controlled objects.
3. Basic transfer functions in Closed-Loop Control Systems. Block Diagrams of Continuous and Discrete time Systems and Components.
4. Stability Definitions. Stability of Continuous and Discrete time Systems. Hurwitz, Routh and Nyquist Criteria of Stability.
5. Simple Controllers: P, I, PI, PD and PID types. Quality of control, dynamic parameters, cost functions.
6. Root- Locus Analysis and Design. Gain and Phase Margin from R-L.
7. Nyquist Analysis and Design of Controllers. Frequency Response open and close loop.
8. Method of required possition of closed loop poles, standard form of ahcaracteristic polynomial, method of optimal time response, Ziegler-Nichols method.
9. Special properties of Discrete time control. Approximation of Sampler and Hold Circuit by Time-Delay.
10. Systems with Dead Beat Performance (dbp control).
11. Control Systems with additional loops.
12. Multivariable feedback control.


Design,using and managing of simple control systems (feedforward as well as feedback)

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

The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.

Classification of course in study plans

  • Programme EEKR-B Bachelor's

    branch B-AMT , 2. year of study, summer semester, 6 credits, compulsory
    branch B-EST , 2. year of study, summer semester, 6 credits, optional interdisciplinary
    branch B-MET , 2. year of study, summer semester, 6 credits, optional interdisciplinary

  • Programme EEKR-CZV lifelong learning

    branch ET-CZV , 1. year of study, summer semester, 6 credits, compulsory

Type of course unit



39 hours, optionally

Teacher / Lecturer

Fundamentals seminar

10 hours, compulsory

Teacher / Lecturer

Exercise in computer lab

8 hours, compulsory

Teacher / Lecturer

Laboratory exercise

8 hours, compulsory

Teacher / Lecturer