ICo-op
Industrial Cooperation and Creative Engineering Education based on Remote Engineering and Virtual Instrumentation
530278-TEMPUS-1-2012-1-DE-TEMPUS-JPHES
Internal Deliverable 3.4.1
Learning Module: Theory of automatic control
Editor: Vira Shamardina
Executive Summary
The course provides knowledge of fundamental principles of electromechanical systems control; main types of automatic control; forms of mathematical description of systems; time and frequency characteristics of systems and their components; methods of systems control quality analysis and systems synthesis of the desired characteristics.
Course objectives
Course objectives – to build students’ theoretical and practical skills on fundamental principles of ACS control and algorithms of their operation, basic rules for mathematical description of separate elements and systems as a whole, the ability to determine their properties on the basis of time and frequency characteristics, to assess the quality of systems control and also to conduct the synthesis of systems with the desired quality control in steady-state and transient operation.
The total scope of the course for postgraduate engineering education constitutes 20 hours: lectures – 10 hours, lab works – 5 hours, individual tasks – 5 hours. The course consists of 5 lectures, 2 laboratory works using the National Instrument educational platform with the «DC Motor» board and individual tasks.
Course Content
Theoretical Unit
Theme 1. The concept of sampled-data systems of automatic control
1.1 Classification and structure of sampled-data systems of automatic control
1.2 Mathematical description of sampled-data systems
1.3 Sampling theorem
Theme 2. Methods of sampled-data АСS examination
2.1 Z – transformation
2.2 Calculation of Z – transformation
2.3 Properties of Z -transformation
2.4 Transfer function of the pulse ACS in Z- transform
2.5 Representation of pulse element
2.6 Transfer function of the forming element
2.7 Definition of the transfer function W RCP (s)
2.8 Block diagrams and transfer functions of closed-loop sampled-data АCS
Theme 3. Frequency responses (FR) of pulse systems
3.1 Analytic definition of FR
3.2 FR properties of pulse ACS
3.3 FR frequency
3.4 W- transformation
3.5 Plotting of frequency-response characteristic of pulse АСS
Theme 4. Stability of pulse АСS
4.1 General information (background)
4.2 Stability criteria
Theme 5. Quality of pulse АСS
5.1 Accuracy of pulse АСS
5.2 Astatism of АСS
5.3 Error signal at a continuous input signal
5.4 Error signal at a discrete input signal
5.5 Dynamic modes analysis of pulse АСS
5.6 Pulse systems correction
5.7 Digital АСS synthesis according to the pulse function of the analogue equivalent
5.8 Synthesis of a digital АСS according to the transient function of the analogue equivalent
5.9 Synthesis of digital АСS in the frequency-domain
5.10 Technical implementation of CD of the digital АСS
Laboratory workshop
Laboratory work 1. Determination of discrete transfer function of the DC motor
Laboratory work 2. Speed control of DC motor using a proportional-integral controller
Practical work (individual tasks): Mathematical description and analysis of discrete closed systems
Lecturer