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Lecturer(s)
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Kasl Pavel, doc. Ing. CSc.
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Course content
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Subject build up the theory of automatic control of discrete linear dynamical systems. The basics of the logical systems, nonlinear systems and fuzzy systems are mention too. Deal with: Discretization of continuous signal, discrete time and sampling theorem. Discrete system description techniques, difference equation and z-transfer function. Stability of discrete systems, Jury's stability test. Quality and design of the PSD controllers. Design of the logical systems, Boole's algebra, Karnaugh's map minimization. Theory of nonlinear systems, Ljapunov's theorem of stability. Fuzzy systems, fuzzy versus crisp sets, membership function, fuzzyfication, inferrence and defuzzification rules, fuzzy logic control possibilities.
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Learning activities and teaching methods
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Lecture supplemented with a discussion, Laboratory work, Students' self-study, Self-study of literature
- Contact hours
- 26 hours per semester
- Preparation for an examination (30-60)
- 35 hours per semester
- Practical training (number of hours)
- 13 hours per semester
- Preparation for formative assessments (2-20)
- 4 hours per semester
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| prerequisite |
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| Knowledge |
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| have a basic knowledge of the mathematical analysis and linear algebra |
| have a basic knowledge of introductory college courses in Physics and Electrical Engineering |
| have a basic knowledge of computers and programming at the introductory college courses (Matlab/Simulink) |
| know the basic principles of automatic control linear dynamical systems (course KKY / AŘ1) |
| Skills |
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| actively use basic methods of mathematical analysis and linear algebra |
| independently solve given the simulation tasks in the laboratory |
| in the form of technical reports describe and process the results of own laboratory work |
| solve the given laboratory simulation tasks using tools Matlab-Simulink |
| Competences |
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| N/A |
| N/A |
| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| classify basic types of systems (especially discrete systems, nonlinear systems, fuzzy logic systems and systems) |
| solve practical problems to design basic types of controllers and their optimal setting |
| Skills |
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| recognize basic control tasks and exchange of information in different systems (especially discrete systems, logic systems and fuzzy systems) |
| discretization of the analogue signal (discrete time and sampling period) |
| describe discrete linear systems (inner and outer systems description - differential equations, transfer function in the Z-transform, state space approach) |
| acces dynamic and frequency characteristics of discrete systems |
| acces stability and quality of discrete systems (Jury criterion) |
| correctly apply the principles of automatic control for synthesis discrete optimal systems of automatic control (regulators), particularly for industrial applications. |
| describe nonlinear system and evaluate their stability by Lyapunov method |
| design combinational logic circuits using Boolean algebra (ÚNDF, minimization, NAND and NOR implementation) |
| describe of the fuzzy system; fuzzy sets, fuzzy approximation; fuzzification, Mamdani inference, defuzzification |
| design a simple fuzzy controller in Matlab (Fuzzy Logic Toolbox) |
| Competences |
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| N/A |
| N/A |
| N/A |
| teaching methods |
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| Knowledge |
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| Lecture |
| Practicum |
| Laboratory work |
| Self-study of literature |
| Skills |
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| Lecture |
| Laboratory work |
| One-to-One tutorial |
| Task-based study method |
| Competences |
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| Lecture |
| Laboratory work |
| Skills demonstration |
| Interactive lecture |
| Students' portfolio |
| assessment methods |
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| Knowledge |
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| Test |
| Skills demonstration during practicum |
| Individual presentation at a seminar |
| Skills |
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| Skills demonstration during practicum |
| Individual presentation at a seminar |
| Combined exam |
| Competences |
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| Individual presentation at a seminar |
| Seminar work |
| Combined exam |
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Recommended literature
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Ogata Katsuhiko. Discrete control systems. London. ISBN 0-13-216227-X.
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Tůma, František. Automatické řízení 1 : lineární spojité dynamické systémy. Plzeň : Západočeská univerzita, 2007. ISBN 978-80-7043-568-7.
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Tůma, František. Automatické řízení 2 : diskrétní systémy, logické systémy, nelineární systémy, fuzzy systémy. Plzeň : Západočeská univerzita, 2007. ISBN 978-80-7043-569-4.
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