Course detail

Control Theory

FEKT-BKC-TRBAcad. year: 2022/2023

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

Language of instruction

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

Guarantor

Ing. Petr Huták, Ph.D.

Department

Department of Power Electrical and Electronic Engineering (UVEE)

Learning outcomes of the course unit

Passed student is qualified:
- 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 behavior of 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 includes lectures and comnputer laboratories- specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

Written examination

Student obtains: max 40 points for numeric and laboratory excersises and max 60 points for final examination.

Course curriculum

1. Mathematical models of dynamic systems
2. Transfer functions, frequency responses, step responses
3. Transfer functions of basic members
4. Block diagrams of controlled systems
5. Description of dynamic systems in state space, status matrices
6. Feedback systems, basic transfers control loops, regulation accuracy.
7. Stability of feedback systems
8. Synthesis of classical regulators
9. Branched control circuits - cascade regulation, feedforward etc..
10. Numerical realization of classical regulators - discretization of PID control algorithm.
11. Block diagram of electric drive, sensors, motors
12. State-space feedback control
13. Implementation of microprocessor control (DSP)

Work placements

Not applicable.

Aims

To introduce with a control theory of linear systems as a mathematical background for design of automated systems

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

Computer laboratory is 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.: Teorie řízení, skripta FEKT, 2002

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme BKC-SEE Bachelor's 2 year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Ing. Petr Huták, Ph.D.

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

26 hod., compulsory

Teacher / Lecturer

Ing. Petr Huták, Ph.D.

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