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.

Language of instruction

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

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.

Prerequisites

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

Co-requisites

Not applicable.

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

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.

Work placements

Not applicable.

Aims

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.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

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)

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme EEKR-B Bachelor's

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

  • Programme EEKR-CZV lifelong learning

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

Type of course unit

 

Lecture

39 hours, optionally

Teacher / Lecturer

Syllabus

Introduction.Examples of feedforward and feedback control.
On-off control for dynamic systems.
Regulators, servo control and program control.
Descriptions of static and dynamic properties. I/O approach.
State variables,state space.
Stability of linear feedback systems.
Analysis of static and dynamic errors in control systems.
Root locus method.
P and I controllers.
PID control.
Sampled data control systems.
Discrete PSD controllers.
Multi loop systems.

Fundamentals seminar

10 hours, compulsory

Teacher / Lecturer

Syllabus

Block diagram algebra. Typical transfer functions.
Steady state errors. Integral kriterion of control.
Stability by Bode diagram and algebraic methods.
Analysis and design of PID controller.
Evaluation of study activities.

Exercise in computer lab

8 hours, compulsory

Teacher / Lecturer

Syllabus

Matlab-Simulink for simulation, analysis and design.
Simulation of on-off, P and PID control.
Bode analysis and design.
Root locus method.

Laboratory exercise

8 hours, compulsory

Teacher / Lecturer

Syllabus

Examples of control systems used in industry.
Continuous control with PID controler.
Discrete PSD control with microprocessor.
Using of this controller for PSD and dead-bead control.