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Lecturer(s)
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Brabec Michal, Ing.
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Dostálek Lukáš, Ing.
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Slavíček Lukáš, Ing.
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Schlegel Miloš, Prof. Ing. CSc.
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Course content
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1. Introduction (process model, system feedback). 2. Mathematical tools to describe natural phenomena (differential equations, integral transform, signal and bond graphs). 3. Systems with concentrated parameters (simple electrical and mechanical systems). 4. System with distributed parameters (thermal systems). 5. Methods of making models based on the first principles (Newton-Euler, d'Alembert-Lagrange, bond graphs). 6. Model identification (method of least squares, parametric and nonparametric methods). 7. Properties of linear and nonlinear systems (the state of equilibrium, linearization, stability, controllability, observability, decomposition of the system). 8. Examples of models (the double inverted pendulum, flexible systems) and simulation (Simulink, Sim-Mechanics, Modelica). 9. Change the dynamic properties of the system by feedback (Evensova method, modal control). 10. Micro-electro-mechanical systems.
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Learning activities and teaching methods
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One-to-One tutorial, Laboratory work, Task-based study method, Lecture
- Contact hours
- 26 hours per semester
- Practical training (number of hours)
- 26 hours per semester
- Preparation for formative assessments (2-20)
- 8 hours per semester
- Preparation for an examination (30-60)
- 40 hours per semester
- Undergraduate study programme term essay (20-40)
- 20 hours per semester
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| prerequisite |
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| Knowledge |
|---|
| disponovat základními znalostmi matematické analýzy |
| disponovat základními znalostmi lineární algebry |
| disponovat základními poznatky středoškolské fyziky |
| Skills |
|---|
| používat základní metody lineární algebry a matematické analýzy |
| používat základní poznatky středoškolské fyziky |
| Competences |
|---|
| N/A |
| N/A |
| N/A |
| N/A |
| learning outcomes |
|---|
| Knowledge |
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| disponovat znalostí základních technik modelování dynamických systémů |
| disponovat úvodními znalostmi teorie lineárních časově invariantních dynamických systémů |
| charakterizovat pojmy stav, stabilita,pozorovatelnosti, řiditelnosti systému |
| disponovat znalostmi metod návrhu lineární stavové zpětné vazby |
| Skills |
|---|
| vytvářet matematické modely reálných soustav |
| počítačově simulovat dynamické systémy |
| navrhovat jednoduché zpětnovazební systémy |
| aplikovat prostředky MATLAB/SimMechanics |
| Competences |
|---|
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Lecture |
| Laboratory work |
| Task-based study method |
| One-to-One tutorial |
| Skills |
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| Interactive lecture |
| Task-based study method |
| Individual study |
| Competences |
|---|
| Lecture supplemented with a discussion |
| Task-based study method |
| Practicum |
| assessment methods |
|---|
| Knowledge |
|---|
| Oral exam |
| Test |
| Individual presentation at a seminar |
| Skills |
|---|
| Written exam |
| Individual presentation at a seminar |
| Competences |
|---|
| Oral exam |
| Written exam |
| Individual presentation at a seminar |
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Recommended literature
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Horáček, Petr. Systémy a modely. 2. přeprac. vyd. Praha : ČVUT, 1999. ISBN 80-01-01923-3.
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