Course detail

# Control Theory

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.

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.

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
Shinners, S.,M.:Advanced Modern Control System Theory and Design, Wiley
Skalický, J.: Teorie řízení, skripta FEKT, 2002

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.

Language of instruction

Czech

Work placements

Not applicable.

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)

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

Classification of course in study plans

• Programme BPC-SEE Bachelor's, 2. year of study, summer semester, 6 credits, compulsory

#### Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

Exercise in computer lab

26 hours, compulsory

Teacher / Lecturer

eLearning