Automatic Control Theory

Description: Basic concepts and definitions of the theory of automatic control. Basic principles of management. Elements and classification of control systems. Model laws of regulation. Methods of mathematical description and dynamic characteristics of automatic control systems. Structural schemes and rules of their transformation. The stability of the SAR, indicators of quality of regulation.

Amount of credits: 5

Course Workload:

Component: University component

Cycle: Profiling disciplines

Goal

• Formation of students' competencies for the development and operation of highly efficient automatic control systems.

Objective

• The acquisition by students of knowledge and understanding for the analysis and synthesis of automatic control systems using computer technology.

Learning outcome: knowledge and understanding

• Basic concepts and definitions of the theory of linear automatic control systems, methods of their mathematical description.

Learning outcome: applying knowledge and understanding

• Application of linear algebra methods, fundamentals of matrix theory, differential equations and the theory of functions of a complex variable to analyze the general properties of automatic control systems

Learning outcome: formation of judgments

• to be able to show personal responsibility, adherence to professional ethics and standards of professional activity.

Learning outcome: communicative abilities

• clearly state and defend the results of complex engineering activities in the field of automation.

Learning outcome: learning skills or learning abilities

• the ability to independently apply methods and means of cognition, training and self-control, to realize the prospects of intellectual, cultural, moral, physical and professional self-development and self-improvement.

Teaching methods

interactive lecture (using the following active forms of learning: guided (guided) discussion or conversation; moderation; demonstration of slides or educational films; brainstorming; motivational speech);

developing of scenarios for the development of various situations based on specified conditions;

information and communication (for example, classes in a computer class using professional software packages);

search and research (independent research activities of students in the learning process);

solution of educational tasks

Assessment of the student's knowledge

Teacher oversees various tasks related to ongoing assessment and determines students' current performance twice during each academic period. Ratings 1 and 2 are formulated based on the outcomes of this ongoing assessment. The student's learning achievements are assessed using a 100-point scale, and the final grades P1 and P2 are calculated as the average of their ongoing performance evaluations. The teacher evaluates the student's work throughout the academic period in alignment with the assignment submission schedule for the discipline. The assessment system may incorporate a mix of written and oral, group and individual formats.

The evaluating policy of learning outcomes by work type

Evaluation form

The student's final grade in the course is calculated on a 100 point grading scale, it includes:

• 40% of the examination result;
• 60% of current control result.

The final grade is calculated by the formula:

 

Where Midterm 1, Midterm 2are digital equivalents of the grades of Midterm 1 and 2;

E is a digital equivalent of the exam grade.

Final alphabetical grade and its equivalent in points:

The letter grading system for students' academic achievements, corresponding to the numerical equivalent on a four-point scale:

Topics of lectures

• Basic concepts and definitions of automatic control
• Operating modes of the automatic control system
• Differential equations of linear automatic control systems and operator notation
• Dynamic characteristics of the automatic control system
• Frequency characteristics, extended characteristics
• Typical dynamic links and their characteristics: amplifying, differentiating, integrating link
• Typical dynamic links and their characteristics: aperiodic link of the 1st order, oscillatory link, delay link
• Stability of linear continuous systems
• Stability of linear continuous systems
• System stability margin by modulus and phase
• Analysis of the quality of regulation by the transition process
• Root assessments of the quality of the automatic control system
• Quality analysis by amplitude and real frequency response
• Construction of the transient process by the trapezoid method

Key reading

• Besekerskii V. A., Popov E. P. Teoriıa sistem avtomaticheskogo regulirovaniıa, izdanie trete, ispravlennoe. Moskva, izdatelstvo «Nauka», Glavnaıa redaktsiıa fiziko-matematicheskoi literatury, 2011.
• Egorov K.V. Osnovy teorii avtomaticheskogo regulirovaniıa, uchebnoe posobie dlıa vuzov, izd. 2-e, pererab. i dop., - M.: "nergiıa", 1997. - 648s., il.
• Zaitsev G. F. Teoriıa avtomaticheskogo upravleniıa i regulrerab. i dop. Kiev, Izdatelstvo Vyşa şkola Golovnoe izdatelstvo, 2009.

Further reading

• Kim D. P. Teoriıa avtomaticheskogo upravleniıa. T. 1. Lineinye sistemy. - M.: FIZMATLIT, 2008. - 288 s. - ISBN 5-9221-0379-2.