Introduction to Automatic Control
FSI-VZR-KAcad. year: 2020/2021
The primary aim of the course is to provide the students with the complete knowledge of the automation and control systems.
The first part of the course makes the students familiar with the logic circuits. It presents logic functions, logic elements, combinational and sequential logic circuits. Minimization of logic functions (Karnaugh map) is discussed.
The second part includes the foundations of linear continuous systems analysis using the transfer function and impulse response of feedback control systems. Mathematical preliminary is the Laplace transform. This part covers the basic feedback theory and stability, accuracy and quality of regulation.
The third part of the course includes the foundations of digital control. It presents mathematical preliminary (Z - transform), digital transfer function and difference equations. It deals with stability condition, stability analysis through bilinear transformation and PID - control algorithm through Z - transform.
Learning outcomes of the course unit
Analysis and design of linear continuous-time and discrete feedback control systems. Students will obtain the basic knowledge of automation, description and classification of control systems, determination of their characteristics. Students will be able to solve problems stability of control systems.
Fundamental concepts in mathematics including the solution of the system of differential equations. Fundamental concepts in physics (particularly dynamics) and electrical engineering.
Recommended optional programme components
Recommended or required reading
Švarc, I., Šeda, M., Vítečková, M.: Automatické řízení. Akademické nakladatelství CERM, Brno, 2007. ISBN 978-80-214-3491-2.
Franklin, G.F., Powell, J.D. and Emami-Naeini, A.: Feedback Control of Dynamic Systems. Prentice-Hall, New Jersey, 2002. ISBN 0-13-098041-2.
Morris, K.: Introduction to Feedback Control. Academic Press, London, 2002. ISBN 0125076606.
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
In order to be awarded the course-unit credit students must prove 100% active participation in laboratory exercises and elaborate a paper on the presented themes. The exam is written and oral. In the written part a student compiles two main themes which were presented during the lectures and solves three examples. The oral part of the exam will contain discussion of tasks and possible supplementary questions.
Language of instruction
The aim of the course is to formulate and establish basic conceptions of automatic control, computational models, theories and algorithms of control systems.
Specification of controlled education, way of implementation and compensation for absences
Attendance and activity at the seminars are required. One absence can be compensated for by attending a seminar with another group in the same week, or by the elaboration of substitute tasks. Longer absence can be compensated for by the elaboration of compensatory tasks assigned by the tutor.
Type of course unit
Guided consultation in combined form of studies
22 hours, compulsory
Teacher / Lecturer
1. Introduction to automation. Basics of logic control
2. Combinatorial and sequential logical circuits, programmable controllers
3. External and internal description of system Laplace transform
4. Characteristics in time domain, block diagram algebra, continuous regulation circuit
5. Frequency transfer, frequency response, classification of regulation elements
6. Stability of linear feedback systems, stability criteria, accuracy of regulation
7. Synthesis of continuous regulation circuit
8. Criteria of regulation quality
9. Description of discrete regulation circuit, Z-transform, discrete characteristics in time domain
10. Discrete regulation circuit, discrete frequency transfer and characteristics
11. Stability of discrete regulation circuit, stability criteria of discrete regulation circuits
12. Synthesis of discrete regulation circuit I
13. Synthesis of discrete regulation circuit II
43 hours, optionally
Teacher / Lecturer
1. Logic control (algebraic minimisation of logical functions, block diagrams, Siemens LOGO!Soft).
2. Logic control (formulation in words, truth table, minimisation using Karnaugh's map, combinatorial logical circuits - simulation).
3. Logic control (sequential logical circuits – simulation).
4. Continuous linear control (differential equation, transfer, impulse response and unit step response function, impulse and unit step characteristic, simulation in LabVIEW+MathScript.
5. Continuous linear control (frequency transfer, frequency characteristic in complex plane, frequency characteristics in logarithmic coordinates, simulation).
6. Continuous linear control (block diagram algebra, controllers, simulation).
7. Continuous linear control (regulation circuit, stability of regulation circuit, simulation).
8. Continuous linear control (accuracy of regulation (steady-state analysis), quality of regulation, simulation).
9. Continuous linear control (Ziegler-Nichols method, numerical and simulation version).
10. Discrete control (conversion between continuous and discrete system, characteristics of discrete systems).
11. Discrete control (digital controller, stability of discrete regulation circuit).
12. Test in written form.
13. Credit, reparation of test.
eLearning: currently opened course