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Course info
KKY / LS1
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Course description
Department/Unit / Abbreviation
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KKY
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LS1
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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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Linear Systems 1
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Form of course completion
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Exam
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Form of course completion
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Exam
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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
3
[Hours/Week]
Tutorial
2
[Hours/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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Yes in the case of a previous evaluation 4 nebo nic.
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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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Yes in the case of a previous evaluation 4 nebo nic.
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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33 / -
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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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Winter semester
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Semester taught
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Winter semester
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Minimum (B + C) students
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10
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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 |
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Evaluation scale |
1|2|3|4 |
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 |
Yes
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Fundamental theoretical course |
Yes
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Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
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None
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Preclusive courses
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KKY/PAU and KKY/ZKK and KKY/ZKT and KKY/ZTS
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Prerequisite courses
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N/A
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Informally recommended courses
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KMA/SDR and KKY/MATL and KKY/SIMUL
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Courses depending on this Course
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KKY/MTR, KKY/SZTŘ, KKY/TŘSZ, KME/SZDKM
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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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The student should get a broad knowledge into types, structures and the behavior of real dynamic systems, should be familiarized with the methodology of creating their mathematical models and with methods of system analysis, both in time and frequency domains. Students should also get an insight into basic principles of dynamic systems control and into methods of obtaining necessary information from real processes.
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Requirements on student
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Students must solve a wide range of particular tasks applying to the majority of lecture notes. Further, they elaborate a semestral work and are awaited to defend their work and give necessary comments. Oral and written examination on the subject is requested.
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Content
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Introduction to automatic control and system theory, Mathematical models of continuous and discrete time linear dynamic systems. Convolution, differential and difference equations, transfer function, frequency response. Block algebra, signal graphs, elementary types of blocks. Feedback systems. Stability, Nyquist criterion of stability. Disturbance attenuation, Bode´s theorem. Multivariable linear systems, state and polynomial approaches. Controllability and observability, equivalence, canonical forms, stability. Brunovsky´s theorem of controllable system classification, Kalman´s decomposition theorem. Elementary methods of synthesis.
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Activities
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Fields of study
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Studentům je k dispozici kurz v Google Classroom se všemi podstatnými informacemi a materiály.
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Guarantors and lecturers
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Literature
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Contact hours
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39
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Preparation for an examination (30-60)
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53
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Undergraduate study programme term essay (20-40)
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30
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Preparation for formative assessments (2-20)
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8
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Practical training (number of hours)
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26
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Total
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156
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
disponovat základními znalostmi z matematiky |
disponovat základními znalostmi z fyziky |
disponovat základními znalostmi z lineární algebry |
disponovat základními znalostmi z výpočetní techniky |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
samostatně pracovat v SW nástrojích Matlab a Simulink |
matematicky formulovat zadaný problém |
využívat elementární znalosti z matematiky a fyziky k popisu jevů probíhajících v dynamických systémech |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
používat techniky modelování dynamických systémů |
používat metody analýzy systémových vlastností |
analyzovat časové a frekvenční odezvy dynamických systémů |
navrhnout základní struktury regulačních obvodů |
Skills - skills resulting from the course: |
vytvářet matematické modely reálných nelineárních dynamických systémů a určit jejich spojité i diskrétní linearizované verze |
provádět podrobnou analýzu důležitých systémových vlastností |
vypočítat a simulovat časové a frekvenční odezvy dynamických systémů s využitím SW nástrojů pro numerickou simulaci |
navrhnout vhodnou strukturu regulačního obvodu při respektování měřitelných veličin a daných omezení |
Competences - competences resulting from the course: |
N/A |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Test |
Combined exam |
Skills - skills achieved by taking this course are verified by the following means: |
Skills demonstration during practicum |
Combined exam |
Competences - competence achieved by taking this course are verified by the following means: |
Seminar work |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Interactive lecture |
Self-study of literature |
Individual study |
One-to-One tutorial |
Discussion |
Skills - the following training methods are used to achieve the required skills: |
Laboratory work |
Practicum |
Competences - the following training methods are used to achieve the required competences: |
Skills demonstration |
Task-based study method |
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