Course detail
Automation
FSI-6AA-A Acad. year: 2023/2024 Summer semester
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
English
Number of ECTS credits
5
Supervisor
Department
Entry knowledge
Fundamental concepts in mathematics including the solution of the system of differential equations . Fundamental concepts in physics (particularly dynamics) and electrical engineering.
Rules for evaluation and completion of the course
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.
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.
Aims
The aim of the course is to formulate and establish basic conceptions of automatic control, computational models, theories and algorithms of control systems.
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.
The study programmes with the given course
Programme B-STI-A: Fundamentals of Mechanical Engineering, Bachelor's, compulsory
Type of course unit
Lecture
26 hours, optionally
Teacher / Lecturer
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 logic controllers.
3. Continuous linear regulation circuit, regulation principle, external and internal description, Laplace transform, differential equation, Laplace transfer.
4. 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, block diagram algebra.
6. Controllers, regulation circuit, characteristic equation (stability), Ziegler-Nichols method (simulation version).
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 (numerical version), tuning of controllers using unit step response characteristic of controlled system, transport delay, 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.
Laboratory exercise
4 hours, compulsory
Syllabus
8. Laboratory exercise (laboratory of programmable controllers, laboratory of electrical equipments).
9. Laboratory exercise (laboratory of programmable controllers, laboratory of electrical equipments).
Computer-assisted exercise
22 hours, compulsory
Teacher / Lecturer
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).
10. Continuous linear control (Ziegler-Nichols method in numerical version, stability criteria of regulation circuit, simulation).
11. Continuous linear control (accuracy of regulation (steady-state analysis), quality of regulation, simulation).
12. Test in written form.
13. Credit, reparation of test.