Course detail

# Control Theory

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.

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.

Recommended optional programme components

Not applicable.

Ogata, K.: Modern Control Engineering, Prentice Hall
Franklin G., Powell D., Workman: Digital Control of Dynamic Systems,Addison-Wesley
Skalický, J.: Teorie řízení, skripta FEKT, 2002

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).

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

1. 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

11. PWM module,counters

12. DSP - fractal aritmetic

13. Algorithms of PID controller-design

Aims

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

Classification of course in study plans

• Programme EEKR-BK Bachelor's

branch BK-SEE , 2. year of study, summer semester, 6 credits, compulsory

• Programme EEKR-CZV lifelong learning

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

#### Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

Exercise in computer lab

24 hours, compulsory

Teacher / Lecturer

Laboratory exercise

15 hours, compulsory

Teacher / Lecturer