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Lecturer(s)
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Navrátil Pavel, Ing. Ph.D.
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Pekař Libor, doc. Ing. Ph.D.
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Course content
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1. History, concepts of cybernetics, systems theory and control theory. Systems, quantities, states. 2. Feedback, control loop, signals. Continuous-time linear and nonlinear systems. 3. Models of dynamic systems. Linear continuous-time dynamic systems (LCDS). 4. Special models of technical and technological processes and systems. 5. Input/output (I/O) descriptions of LCDS, impulse- and step-response characteristics, calculation of characteristics using Laplace transform. 6. Frequency transfer function and frequency characteristics. 7. Lyapunov and BIBO stability. Algebraic and geometric stability criteria. 8. Transport delay, its influence on dynamics. Approximation and compensation of delays. Smith's predictor. 9. State-space (internal) description (SS) of LCDS. Methods of SS variables selection, ambiguity of the SS description . 10. I/O to SS transformation, and vice versa. Singular systems, non-minimum realization of LSDS. 11. System properties - controllability, observability. Luenberg's state observer. 12. PID controllers, their description and dynamic properties. 13. Classical methods of design and setting of PID controllers. 14. Nonlinear systems, types of nonlinearities, linearization and an overview of methods for solving nonlinear circuits.
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Learning activities and teaching methods
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Lecturing, Monologic (Exposition, lecture, briefing), Demonstration, Simple experiments, Exercises on PC, Practice exercises, Teamwork, Individual work of students, Students working in pairs, Educational trip, E-learning
- Participation in classes
- 70 hours per semester
- Educational trip
- 6 hours per semester
- Preparation for course credit
- 8 hours per semester
- Preparation for examination
- 16 hours per semester
- Home preparation for classes
- 12 hours per semester
- Term paper
- 24 hours per semester
- Home preparation for classes
- 24 hours per semester
- Term paper
- 32 hours per semester
- Participation in classes
- 24 hours per semester
- Preparation for examination
- 56 hours per semester
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| prerequisite |
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| Knowledge |
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| The course follows Automatic Control course. Knowledge of the basic mathematics and physics courses required. |
| The course follows Automatic Control course. Knowledge of the basic mathematics and physics courses required. |
| learning outcomes |
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| By completing the course, students will deepen their knowledge of the systems theory and control. They gain the ability to design the full range of continuous-time controllers and control circuits. In the Matlab / Simulink environment, they are able to solve tasks of modeling, simulation and control of linear and nonlinear problems. |
| By completing the course, students will deepen their knowledge of the systems theory and control. They gain the ability to design the full range of continuous-time controllers and control circuits. In the Matlab / Simulink environment, they are able to solve tasks of modeling, simulation and control of linear and nonlinear problems. |
| to describe a linear continuous dynamic system (LSDS) in both input-output and state space |
| to describe a linear continuous dynamic system (LSDS) in both input-output and state space |
| to explain (using an example) obtaining the LSDS model from the mathematical-physical analysis of a simple system or process |
| to explain (using an example) obtaining the LSDS model from the mathematical-physical analysis of a simple system or process |
| to characterize the properties of LSDS based on the input-output description |
| to characterize the properties of LSDS based on the input-output description |
| to characterize the properties of LSDS based on the state model |
| to characterize the properties of LSDS based on the state model |
| to formulate mathematically a continuous linear controller in the input-output space |
| to formulate mathematically a continuous linear controller in the input-output space |
| to define mathematically a state observer and a proportional controller in the state space |
| to define mathematically a state observer and a proportional controller in the state space |
| Skills |
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| to analyze the properties and stability of a LSDS |
| to analyze the properties and stability of a LSDS |
| to solve an ordinary linear differential equation using the Laplace transform |
| to solve an ordinary linear differential equation using the Laplace transform |
| to design a continuous linear controller by classical methods |
| to design a continuous linear controller by classical methods |
| to design a continuous linear controller using the pole assignment method |
| to design a continuous linear controller using the pole assignment method |
| to solve the state equation of a LSDS |
| to solve the state equation of a LSDS |
| to convert an input-output model to the state-space one (and vice versa) |
| to convert an input-output model to the state-space one (and vice versa) |
| to use Matlab for simulation, analysis and synthesis of LSDS |
| to use Matlab for simulation, analysis and synthesis of LSDS |
| teaching methods |
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| Knowledge |
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| Lecturing |
| Monologic (Exposition, lecture, briefing) |
| Students working in pairs |
| Students working in pairs |
| Educational trip |
| Educational trip |
| E-learning |
| E-learning |
| Individual work of students |
| Individual work of students |
| Teamwork |
| Teamwork |
| Lecturing |
| Monologic (Exposition, lecture, briefing) |
| Exercises on PC |
| Exercises on PC |
| Demonstration |
| Demonstration |
| Simple experiments |
| Simple experiments |
| Practice exercises |
| Practice exercises |
| assessment methods |
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| Analysis of the student's performance |
| Analysis of the student's performance |
| Analysis of seminar paper |
| Analysis of seminar paper |
| Analysis of another type of paper written by the student (Casuistry, diary, plan ...) |
| Analysis of another type of paper written by the student (Casuistry, diary, plan ...) |
| Composite examination (Written part + oral part) |
| Composite examination (Written part + oral part) |
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Recommended literature
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Balátě, J. Automatické řízení. BEN, 2003. ISBN 80-7300-020-2.
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Dorf, R.C., Bishop, R. Modern Control Systems. New Jersey, 2010. ISBN 978-0136024583.
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Dostál, P. , Gazdoš, F. Řízení technologických procesů. Zlín: Univerzita Tomáše Bati ve Zlíně, 2006. ISBN 80-7318-465-6.
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Franklin, G. F., Powell, J. D., Emami-Naeini A. Feedback Control of Dynamic Systems. Upper Saddle River, 2006. ISBN 0-13-149930-0.
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Huba, M. Teória systémov. Bratislava, 2002. ISBN 80-227-1820-3.
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Kevitzky, L. Control Engineering. Györ. ISBN 978-963-9819-74-0.
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Ogata, K. Modern Control Engineering. New Jersey, 2009. ISBN 978-0136156734.
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Ogata, K. System dynamics. Upper Saddle River, 2004. ISBN 978-0131424623.
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Prokop, Roman. Teorie automatického řízení : lineární spojité dynamické systémy. Vyd. 1. Zlín : Univerzita Tomáše Bati ve Zlíně, 2006. ISBN 8073183692.
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Štěcha, J., Havlena, V. Teorie dynamických systémů. Praha, 2005. ISBN 80-227-1586-7.
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