Course detail

Introduction to Automatic Control

FSI-VZRAcad. year: 2010/2011

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.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

prof. RNDr. Ing. Miloš Šeda, Ph.D.

Department

Institute of Automation and Computer Science (ÚAI)

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.

Prerequisites

...Fundamental concepts in mathematics including the solution of the system of differential equations . Fundamental concepts in physics (particularly dynamics) and electrical engineering.

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

...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.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

...Goals of the course: 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.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

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.
Švarc, I., Matoušek, R., Šeda, M., Vítečková, M.: Automatické řízení. Akademické nakladatelství CERM, Brno, 2011. ISBN 978-80-214-4398-3.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme B2341-3 Bachelor's

    branch B-AIŘ , 2 year of study, winter semester, compulsory

Type of course unit

 

Computer-assisted exercise

26 hod., compulsory

Teacher / Lecturer

Ing. Olga Davidová, Ph.D.

Syllabus

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.

Lecture

26 hod., optionally

Teacher / Lecturer

Ing. Olga Davidová, Ph.D.

Syllabus

1. Introduction to automation. Logic control, logical functions, Boolean algebra laws, formulation of Boolean functions, minimisation using Boolean algebra laws and Karnaugh's maps.
2. NAND, NOR, combinatorial logical circuits, sequential logical circuits, programmable controllers.
3. Continuous linear regulation circuit, regulation principle, Laplace transform, external and internal description.
4. Differential equation, Laplace transfer, impulse response function and impulse characteristic, unit step response function and unit step characteristic, classification of regulation elements.
5. Frequency transfer, frequency response in complex plane and logarithmic coordinates, poles and zeroes, transport delay.
6. Block diagram algebra, controllers.
7. Regulation circuit, characteristic equation, stability of regulation circuit, algebraic stability criteria.
7. Stability of linear feedback systems, (necessary and sufficient condition of stability), algebraic stability criteria.
8. Frequency stability criteria, accuracy of regulation (steady-state analysis).
9. Quality of regulation, Ziegler-Nichols method, tuning of controllers using unit step response characteristic of controlled system, synthesis of regulating circuit.
10. Discrete regulation circuit, sampling circuit (A-D converter), data-hold circuit (D-A converter), Z-transform, difference equation.
11. Z-transfer, discrete impulse response function and characteristic, discrete unit step response function and characteristic, frequency transfer, frequency characteristic in complex plane.
12. Block diagram algebra of discrete systems, digital controllers (positional and incremental algorithm), stability of discrete regulation circuit (general condition).
13. Stability criteria of discrete regulation circuits.