Digital control systems

Description: The main ideas and principles of building digital control systems are presented. The mathematical description of analog and discrete signals and systems, issues of stability and quality of regulation of digital control systems, problems of analysis and synthesis of digital regulators are considered. The methods of transition from a continuous system to a discrete one and the methods of reverse transition, the features of the use of typical regulators in discrete form are studied. The issues of implementation of digital control systems are considered.

Amount of credits: 5

Course Workload:

Types of classes	hours
Lectures	15
Practical works	30
Laboratory works
SAWTG (Student Autonomous Work under Teacher Guidance)	30
SAW (Student autonomous work)	75
Form of final control	Exam
Final assessment method	exam

Component: Component by selection

Cycle: Profiling disciplines

Goal

• Theoretical and practical development of methods and tools for building digital control systems

Objective

• Mastering the knowledge and skills of construction, mathematical description, basic ideas and methods for calculating and applying digital control systems

Learning outcome: knowledge and understanding

• Special knowledge in the field of mathematical, natural, humanitarian and economic sciences.

Learning outcome: applying knowledge and understanding

• The ability to apply basic and special knowledge in the field of mathematical, natural, humanitarian and economic sciences in complex engineering activities based on a holistic system of scientific knowledge about the world around. Demonstrate an understanding of the essence and significance of information in the development of modern society, mastery of the basic methods, ways and means of obtaining, storing, processing information; use of modern technical means and information technologies for solving communication problems.

Learning outcome: formation of judgments

• The ability to independently apply the methods and means of cognition, learning and self-control, to be aware of the prospects of intellectual, cultural, moral, physical and professional self-development and self-improvement, to be able to critically assess their own strengths and weaknesses.

Learning outcome: communicative abilities

• The ability to work effectively individually and as a member of a team, demonstrating the skills of managing separate groups of performers, including on interdisciplinary projects, be able to show personal responsibility, adherence to professional ethics and standards of professional conduct.

Learning outcome: learning skills or learning abilities

• Demonstrate knowledge of the legal, social, environmental and cultural aspects of integrated engineering activities, awareness of health protection, life and work safety in production.

Teaching methods

When conducting training sessions, it is planned to use the following educational technologies: - interactive lecture (application of the following active forms of learning: guided discussion or conversation; moderation; demonstration of slides or educational films; brainstorming; motivational speech); - construction of scenarios for the development of various situations based on the specified conditions; - information and communication (for example, classes in a computer classroom using professional application software packages); - search and research (independent research activity of students in the learning process); - solving 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.

Period	Type of task	Total
1  rating	Practical work	0-100
	Practical work
	Practical work
	Practical work
	Practical work
	Estimated work
	Estimated work
	Estimated work
	Test 1
2  rating	Practical work	0-100
	Practical work
	Practical work
	Practical work
	Practical work
	Estimated work
	Estimated work
	Estimated work
	Test 2
Total control	Exam	0-100

The evaluating policy of learning outcomes by work type

Type of task	90-100	70-89	50-69	0-49
	Excellent	Good	Satisfactory	Unsatisfactory

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:

FG = 0,6	MT1+MT2	+0,4E
	2

 

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:

Alphabetical grade	Numerical value	Points (%)	Traditional grade
A	4.0	95-100	Excellent
A-	3.67	90-94
B+	3.33	85-89	Good
B	3.0	80-84
B-	2.67	75-79
C+	2.33	70-74
C	2.0	65-69	Satisfactory
C-	1.67	60-64
D+	1.33	55-59
D	1.0	50-54
FX	0.5	25-49	Unsatisfactory
F	0	0-24

Topics of lectures

• Introduction
• Technical structure of a distributed digital control system
• Functional structure of the digital control system
• Description of continuous signals
• Description of continuous dynamical systems
• Description of discrete signals
• Theorem of Kotelnikov
• Description of discrete systems
• Zeros, poles and residues of a discrete transfer function
• Transition from a continuous system to a discrete one and the reverse transition
• Analysis and synthesis of control systems
• Key performance indicators of digital control systems
• Dynamic properties of extrapolator (fixer) of zero order
• Digital PID controllers
• Issues of implementation of digital control systems

Key reading

• Teoriıa avtomaticheskogo upravleniıa: Uchebnik dlıa vuzov/ S.E. Duşin, N.S.Zotov, D.H. Imaev i dr. – M.: Vysşaıa şkola, 2003. – 567 s.
• Izerman R. TSifrovye sistemy upravleniıa /Per. s angl. – M.: Mir, 1984. – 541 s.
• Olson G., Piani D. TSifrovye sistemy avtomatizatsii i upravleniıa. – SPb.: Nevskii Dialekkt, 2001. – 557 s.: il. 4 Ostrem K., Vittenmark B. Sistemy upravleniıa s V/ Per. s engl. – M.: Mir, 1987. – 480 s., il.
• Dorf R, Bişop R. Sovremennye sistemy upravleniıa /Per. s angl. – M.: Laboratoriıa Bazovyh Znanii, 2002. – 832 s
• Krutko P.D. i dr. Algoritmy i programmy proektirovaniıa avtomaticheskih sistem. – M.: Radio i svıaz, 1988. – 306 s.
• Teoriıa avtomaticheskogo regulirovaniıa.- CHast pervaıa. Pod red. A. A. Voronova. M. : Vysşaıa şkola, 1986.
• Metody klassicheskoi i sovremennoi teorii avtomaticheskogo upravleniıa. Uchebnik v pıati tomah./Pod red. K.A. Pupkova, N.D. Egupova. – M.: Izdatelstvo MGTU im. N.. Baumana. – 2004.
• Teoriıa avtomaticheskogo regulirovaniıa.- CHast vtoraıa. Pod red. A. A. Voronova. M.: Vysşaıa şkola, 1986. – 504s.

Further reading

• Miroşnik I.V. Teoriıa avtomaticheskogo upravleniıa. Lineinye sistemy. – SPb.: Piter, 2005. – 336 s.
• Kim D.P. Teoriıa avtomaticheskogo upravleniıa. T.1. Lineinye sistemy. – M.: Fizmatlit, 2003. – 288 s.
• Rotach V.Ia. Teoriıa avtomaticheskogo upravleniıa: Uchebnik dlıa vuzov. – M.: Izdatelskii dom MI, 2008. – 396 s.
• Izbrannye glavy teorii avtomaticheskogo upravleniıa. / B.R. Andrievskii, A.L. Fradkov – SPb.: Nauka, 2000. – 475 s.
• Kuo B. Teoriıa i proektirovanie tsifrovyh sistem upravleniıa/Per. s angl. – M.: Maşinostroenie, 1986. – 448 s., il.
• Polıakov K.IY. Osnovy teorii tsifrovyh sistem upravleniıa: ucheb. posobie; SPbGMTU. – SPb.: 2006. 161 s.
• В.В. Григорьев, С.В. Быстров и др. Цифровые системы управления: учеб. пособие; СПбГУ ИТМО. – СПб.: 2011. 133 с.