Control Theory course deals with basic principles and methods of feedback control of single-input single-output linear dynamic systems. Students are acquainted with mathematical basics of control theory, with methods of modelling and analysis of controlled and control systems, with important types of feedback controllers, with stability of control systems and with basic method of feedback control systems design in the time domain. All methods and procedures are used for solving of selected examples. For modelling, analysis and design of control systems and for solving of problems and projects is used Matlab system for computation and visualization.

Students will be able to:

• solve basic computational and visualization tasks in the area of automatic control system in the environment of Matlab and its Control System Toolbox

• investigate properties of t-invariant linear dynamical systems and determine their stability

• design controller parameters using empirical and integral methods, design state controller and discrete controller with a finite number of steps

• validate theoretical conclusions by simulation and analysis of time resposes of the system and by their visualization

• carry out synthesis of simple control loop and improve its dynamic performance using simulation experiments

Assessment: Three individual projects

Exam: Written test I: 0-20 points

Written test II: 0-60 points

Oral exam: 0-20 points

R: Pao, C. Chau: Process Control: a First Course with MATLAB. Cambridge University Press, Cambridge, 2002, 0-521-00255-9.

R: Benjamin C. Kuo: Automatic Control Systems. Prentice-Hall, 1991, 0-13-051046-7.

R: Manke B.S.: Linear Control Systems.Khanna Publishers, 2009. 81-7409-107-6.

A: Franklin, G. F., Powell, J. D., Emami-Naeini, A.: Feedback Control of Dynamic Systems. Prentice-Hall, New Jersey, 2002, 0-13-098041-2.

1. Matematický popis dynamického systému. Základy Laplaceovy transformace.

2. Vnější popisy dynamických lineárních t-invariantních systémů.

3. Analýza spojitých dynamických systémů. Analýza časových odezev dynamických systémů.

4. Vnitřní stavový popis dynamických lineárních systémů.

5. Stabilita systému. Metody vyšetřování stability.

6. Algebra blokových diagramů, výpočty přenosů, zpětnovazební zapojení. Regulační obvod.

7. Základní typy spojitých regulátorů, jejich statické a dynamické charakteristiky. Stabilita RO.

8. Kritéria kvality regulace v časové oblasti.

9. Empirické metody syntézy regulačních obvodů.

10. Optimální nastavení konstant PID regulátoru pomocí integrálních metod a metody optimálního modulu.

11. Návrh stavového regulátoru. Řiditelnost, pozorovatelnost.

12. Popis dynamických systémů s diskrétním časem. Z-transformace, vzorkování.

13. Diskrétní regulační obvod. Návrh diskrétního regulátoru.

14. PSD regulátory.

1. Dynamic systems description. Fundamentals of Laplace transform.

2. External description of dynamic t-invavariant systems.

3. Continuous-time system analysis. Time response analysis of dynamic systems.

4. Internal description of dynamic systems.

5. Stability analysis of dynamic systems.

6. Algebra of block diagrams. Transfer functions. Negative feedback. Cloosed-loop control system.

7. PID controllers, description and characteristics of basic types of controllers. Stability of control systems.

8. Quality of control performance, their criteria and comparison.

9. Empirical methods of control design.

10. Standard methods of control design. Optimal module and integral criteria.

11. Control design in state space. Controllability, observability.

12. Discrete-time systems description. Z-transform. Sampling.

13. Control design in discrete-time domain.

14. PSD controllers.

http://moodle.vscht.cz/course/view.php?id=12

http://www.mathworks.com/products/control/

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Algorithms and Programming, Mathematics I, Measuring and Control Engineering