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Main menu for Browse IS/STAG
Course info
KRP / NDIRI
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Course description
Department/Unit / Abbreviation
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KRP
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NDIRI
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Discrete-time Control
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Form of course completion
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Examination
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Form of course completion
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Examination
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Accredited / Credits
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Yes,
6
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Lecture
2
[HRS/WEEK]
Tutorial
3
[HRS/WEEK]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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Automatic acceptance of credit before examination
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No
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Included in study average
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YES
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Language of instruction
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Czech
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Occ/max
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Automatic acceptance of credit before examination
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No
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Summer semester
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5 / -
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0 / 0
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0 / 0
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Included in study average
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YES
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Winter semester
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0 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Summer semester
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Semester taught
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Summer semester
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Minimum (B + C) students
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not determined
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech
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Internship duration
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0
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No. of hours of on-premise lessons |
0
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Evaluation scale |
A|B|C|D|E|F |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
Yes
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Fundamental course |
No
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Fundamental theoretical course |
Yes
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Evaluation scale |
A|B|C|D|E|F |
Evaluation scale for credit before examination |
S|N |
Substituted course
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KRP/INAR2
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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Students will acquire the means of analysis and synthesis of discrete control circuits of linear dynamic systems..
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Requirements on student
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The student will attend lectures and exercises and in addition student will work out an individual exercises.
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Content
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1. Introduction to discrete control theory, discrete control circuits. Discretization of continuous control circuit. Sampling and signal shaping, filtration. Difference equations.
2. Z transform and inverse Z transform, difference equations. Transfer function models.
3. Stochastic process and its statistically characteristics, ARX, ARMAX, OE and BJ model structures.
4. Stability analysis of discrete systems. Algebraic stability criteria of discrete linear systems.
5. Discrete controller, digital approximation of continuous PID. Methods for finding discrete PID controller parameters.
6. Design and implementation of digital control algorithms, selection of sampling period, aliasing.
7. Algebraic methods of discrete control theory. Selected operations with polynomials. Diophantine equation.
8. Digital controllers with optimized structure. Design of digital controller according to finite steps of regulation (weak, strong version).
9. Discrete state space description of the continuous system. The relationship between internal and external description of a dynamical system.
10. Introduction to observers. Full- and reduced-order Luenberger deterministic observers.
11. State feedback control, discrete state-space controller. Adding an integral part to the controller, remove a permanent deviation.
12. Pole placement method, Ackermann's formula.
13. Design of linear-quadratic optimal digital controller, Riccati equation.
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Activities
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Fields of study
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V případě mimořádných opatření bude výuka probíhat vzdáleně s využitím programu MS Teams v době dle rozvrhu. Účast na schůzkách skupiny v MS Teams je ekvivalentní účasti na přednáškách a cvičeních.
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Guarantors and lecturers
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Literature
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Basic:
Balátě, Jaroslav. Automatické řízení. Praha: BEN - technická literatura, 2004. ISBN 80-7300-148-9.
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Basic:
FRANKLIN, G.F., POWELL, J.D., WOEKMAN, M.L. Digital Control of Dynamic Systems (3. vydání). Stanford (USA): Prentice Hall, 1998. ISBN 0-201-82054-44.
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Basic:
KWAKERNAAK, H. Linear Optimal Control Systems. New York: John Wiley & Sons, 1972. ISBN 0-471-51110-2.
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Recommended:
HANUŠ, B., OLEHLA, M., MODRLÁK, O. Číslicová regulace technologických procesů: algoritny, matematicko-fyzikální analýza, identifikace, adaptace. Brno: VUT, 2000. ISBN 80-214-1460-X.
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Recommended:
Havlena, V., Štecha, J. Moderní teorie řízení. 2. vyd.. Praha, ČVUT, 1999.
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Recommended:
HLAVA, J. Prostředky automatického řízení II: analogové a číslicové regulátory, elektrické pohony, průmyslové komunikační systémy. Praha: ČVUT, 2000. ISBN 80-01-02221-8.
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Recommended:
Štecha, Jan. Teorie dynamických systémů. Praha: Vydavatelství ČVUT, 1999. ISBN 80-01-01971-3.
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Time requirements
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Full-time form of study
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Activities
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Time requirements for activity [h]
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Domácí příprava na výuku
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20
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Účast na výuce
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65
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Příprava na zkoušku
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25
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Příprava na laboratorní měření, zpracování výsledků
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30
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Semestrální práce
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40
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Total
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180
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Prerequisites - other information about course preconditions |
Basic knowledge of the theory of automatic control, identification and modeling of dynamic systems is needed. |
Competences acquired |
Student after the course:
- demonstrates theoretical knowledge in the field of analysis and synthesis of discrete control circuits,
- is able to practically implement digital control circuit and analyze its behavior,
- using discretization of continuous models, he is able to design a discrete controller with both fixed and optimized structure, including state controller. |
Teaching methods |
- Monologic (reading, lecture, briefing)
- Work with text (with textbook, with book)
- Laboratory work
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Assessment methods |
- Oral examination
- Written examination
- Home assignment evaluation
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