Course detail

Control Theory

FEKT-CTRBAcad. year: 2013/2014

Mathematical models of dynamic systems, transfer functions, frequency- and step responses, stability and accuracy analysis of controlled systems. State feedback control. Discrete control theory of linear systems. Design of feedback systems with analogue and digital controllers.

Language of instruction

English

Number of ECTS credits

6

Mode of study

Not applicable.

Guarantor

prof. Ing. Jiří Skalický, CSc.

Department

Department of Power Electrical and Electronic Engineering (UVEE)

Offered to foreign students

Of all faculties

Learning outcomes of the course unit

Passed student is quolified:
- to understand relation between mathematical model of the system and its dynamic behavior
- to understand mutual relation of dynamic models in the form of differential equation, state equation and transfer function
- to explain terms frequency response and step response
- to derive stabiblity of a feedback system
- to design the proper feedback controller

Prerequisites

Student's necessary prerequisities are knowledge of mathematics (differential equations, Laplace transform) and from theory of analogue and digital circuits

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.

Assesment methods and criteria linked to learning outcomes

Student obtains: max 15 points for numeric excersises, max. 15 points for laboratory excersises and max 70 points for final examination: written part (45 points) and oral part (25 points)

Course curriculum

. Mathematical models of dynamic systems

2. Transfer functions, frequency responses, step responses

3. Block diagrams of controlled systems

4. Stability of feedback systems

5. DIscrete control,feedforward control etc.

6. Senzors, Elektric drive

7. Converters

8. Digital signal procesor DSP

9. Real-time control

10. AD/DA converter

11. PWM module,counters

12. DSP - fractal aritmetic

Work placements

Not applicable.

Aims

To get acquainted with a control theory of linear systems as a mathematical base for design of automated systems

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

Computer laboratory is mandatory
Elaborated numeric excesises are mandatory
Compensation of an absence at laboratory after lecturer's recommendat

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Skalický, J.: Control Theory, textbook, FEKT

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme EECC Bc. Bachelor's

    branch BC-SEE , 2 year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. Ing. Jiří Skalický, CSc.

Syllabus

Mathematical models of dynamic systems
State space model of dynamic systems
Transfer functions, frequency responses, step responses
Block diagrams of controlled systems
Stability of feedback systems
Algorithms of controller-design
State feedback control
State feedback control with an observer
Digital control systems
Discrete transfer functions
Stabilty of discrete systems
Design methods of digital controllers
Discrete state feedback control

Exercise in computer lab

24 hod., compulsory

Teacher / Lecturer

prof. Ing. Jiří Skalický, CSc.

Syllabus

Simulation of electromechanic systems
Frequency responses and step responses
Analysis of the sensitivity of controlled systems
Simulation of a feedback system
Design and simulation of a state feedback system
Simulation of a discrete feedback system
Simulation of a discrete state feedback control

Laboratory exercise

15 hod., compulsory

Teacher / Lecturer

prof. Ing. Jiří Skalický, CSc.

Syllabus

Mathematical models of mechnic, electric and electromechanic systems,
Derivation of transfer functions
Design of controllers
Design of position controlled servodrive
Design of position controlled servodrive
Validation