Course detail

Introduction to Automatic Control

FSI-RREAcad. year: 2021/2022

Control theory of linear systems, mathematical models of dynamic systems, state space equations, transfer functions, feedback systems, stability of feedback systems,basic types of controllers P, I, PI, PD, PID, design algorithms of controllers, state feedback control, state feedback control with an observer, discrete linear systems, Z-transform, design of digital controllers, discrete state control

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. Ing. Pavel Vorel, Ph.D.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Learning outcomes of the course unit

Students will be able to solve the performance of dynamic systems in the time and in the frequency area They will learn how to design feedback controllers and how to apply it the acquired knowledge for with respect to position servodrives of NC machines and robots.

Prerequisites

Calculations with complex numbers, linear differential equations, Laplace transform, matrix calculus

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

The course-unit credit awarded on condition of having worked out given problems. Individual solution is expected applying program MATLAB/SIMULINK. Eexamination takes form of a written test

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The aim of the course is to teach students to understand the relation between a real dynamic system, its mathematical model and the goal of a feedback control of this system.

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

Attendance at practical training is obligatory.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Ogata, K.: System Dynamics Prentice Hall 1992
Ogata, K.:Modern Control Engineering Prentice Hall, 1997

Recommended reading

Skalický, Jiří: Teorie řízení 1 skripta VUT v Brně, FEKT, 2002
Vavřín, P.: Teorie automatického řízení skripta VUT v Brně, 1991

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. Ing. Pavel Vorel, Ph.D.

Syllabus

1.Introduction, dynamic systems, mathematical models
2. State space equations of dynamic systems
3. Transfer functions, frequency response, time response
4. Block diagrams of control systems
5. Feedback systems, stability
6. Design of controllers, types of controllers
7. State feedback control
8. State feedback control with an observer
9. Digital control systems
10. Discrete control theory, Z-transform
11. Design methods of digital controllers
12. Discrete state control
13. Dead-beat control

Exercise

26 hod., compulsory

Teacher / Lecturer

doc. Ing. Pavel Vorel, Ph.D.

Syllabus

Laboratory exercises with MATLAB
1. Introduction to MATLAB and SIMULINK
2. Analysis of dynamic systems, mechanic and electromechanical systems
3. State equations, solution of state equations, SIMULINK models
4. Derive of transfer functions and frequency responses
5. Types of transfer functions, time response
6. Miniproject: feed drive: block diagram, system analysis
7. Miniproject: design of speed- and position controllers
8. Miniproject: simulation of dynamic behaviour, interpolation in the plane
9. Control of systems with elastic coupling, state controller
10. Design of a discrete PID controller
11. Design of a state controller with an observer
12. Design of a state controller "dead-beat"
13. Structures of control systems, hardware, software

E-learning texts

Skalický, J.: Teorie řízení - skripta
Teorie řízení_skripta.pdf 2.11 MB