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Lecturer(s)
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Matušů Radek, doc. Ing. Ph.D.
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Řezníčková Jana, Mgr. Ph.D.
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Course content
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1. Automatic control - logic control, continuous control of continuous physical quantities, discrete control of continuous physical quantities - basic concepts and principles. 2. Simple continuous control loop (CL), its components, description of quantities, general properties of controlled systems. Mathematical model of part of the CL and the whole CL. Linearity, linearization methods. 3. The concept of differential equations. Solution of a differential equation. Cauchy's problem. Ordinary differential equation of the 1st order. Separable ordinary differential equation of the 1st order. Linear non-homogeneous ordinary differential equation of the 1st order. Examples of systems described by these equations. 4. Ordinary differential equation of nth order. Basic concepts and properties. Homogeneous linear ordinary differential equation of nth order with constant coefficients. Characteristic equation. Non-homogeneous linear ordinary differential equation of nth order with constant coefficients. Solution methods. Examples of systems described by these equations. 5. Set of ordinary differential equations of the 1st order with constant coefficients. Eigenvalues. Eigenvectors. Stability of solving a system of ordinary differential equations of the 1st order. 6. Laplace transform. Definition and basic properties of Laplace transform. Inverse Laplace transform. Laplace transform table. Solution of ordinary differential equations using Laplace transform. Concept of discrete function, application, definition and basic properties of Z-transformation, Z-transformation table. 7. Transfer function. Description of the basic open and closed CL. Transfer functions and signals in a CL. Block algebra of continuous systems. 8. Description of properties of proportional, integral and derivative members of the CL (ideal, with 1st order inertia, with 2nd order inertia), differential equations, transfer functions, step responses. 9. Description of properties of ideal P, I, D controllers, their combinations, basic properties, differential equations, transfer functions, step responses. 10. Methods of analysis of a continuous CL - feasibility, stability, steady-state control error. 11. Methods of synthesis of continuous CL with PID controllers. 12. Detailed scheme of the discrete CL; principle of operation, continuous quantities, sequences of discrete values, numerical quantities, sampling and shaping term. 13. Discrete PID controllers, interpretation of its individual components, design of a digital controller by the desired model method. 14. Principles of other CLs - multi-parameter, extremal, branched circuits, Smith predictor, with internal model, adaptive controllers, robust control.
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Learning activities and teaching methods
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Lecturing, Simple experiments, Exercises on PC, Teamwork, Educational trip
- Educational trip
- 6 hours per semester
- Home preparation for classes
- 28 hours per semester
- Preparation for course credit
- 16 hours per semester
- Preparation for examination
- 40 hours per semester
- Participation in classes
- 126 hours per semester
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| prerequisite |
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| Knowledge |
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| Basic knowledge of mathematics and physics at the level of the 1st semester of university. |
| Basic knowledge of mathematics and physics at the level of the 1st semester of university. |
| learning outcomes |
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| To describe basic logic circuits |
| To describe basic logic circuits |
| To classify basic types of systems and models |
| To classify basic types of systems and models |
| To explain the basic configurations of control systems and their components |
| To explain the basic configurations of control systems and their components |
| To clarify the basic dynamic and frequency properties of continuous-time linear time-invariant systems |
| To clarify the basic dynamic and frequency properties of continuous-time linear time-invariant systems |
| To explain the basic concepts of stability of continuous-time linear time-invariant systems |
| To explain the basic concepts of stability of continuous-time linear time-invariant systems |
| To explain the function of continuous-time, especially PID, controllers |
| To explain the function of continuous-time, especially PID, controllers |
| To describe the basic principles of discrete-time control systems |
| To describe the basic principles of discrete-time control systems |
| Skills |
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| To express and minimize logic functions |
| To express and minimize logic functions |
| To apply the Laplace transform to describe, analyze, and synthesize control systems |
| To apply the Laplace transform to describe, analyze, and synthesize control systems |
| To analyze dynamic and frequency properties of continuous-time linear time-invariant systems |
| To analyze dynamic and frequency properties of continuous-time linear time-invariant systems |
| To investigate the stability of continuous-time linear time-invariant systems |
| To investigate the stability of continuous-time linear time-invariant systems |
| To design a continuous-time, especially PID, controller |
| To design a continuous-time, especially PID, controller |
| To emulate a discrete-time controller |
| To emulate a discrete-time controller |
| teaching methods |
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| Knowledge |
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| Exercises on PC |
| Simple experiments |
| Exercises on PC |
| Simple experiments |
| Lecturing |
| Lecturing |
| Educational trip |
| Educational trip |
| Teamwork |
| Teamwork |
| assessment methods |
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| Grade (Using a grade system) |
| Grade (Using a grade system) |
| Preparation of a presentation, giving a presentation |
| Preparation of a presentation, giving a presentation |
| Composite examination (Written part + oral part) |
| Composite examination (Written part + oral part) |
| Analysis of seminar paper |
| Analysis of seminar paper |
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Recommended literature
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BALÁTĚ, J. Automatické řízení. BEN Technická literatura, Praha, 2004.
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CORRIOU, J.-P. Process Control: Theory and Applications. London, 2010. ISBN 978-1-84996-911-6.
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FRANKLIN, G.F., POWEL, J.D., EMAMI-NAEINI, A. Feedback Control of Dynamics Systems.
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NAVRÁTIL, P. Automatizace, vybrané statě. FAI,UTB ve Zlíně, 2011.
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OSTRAVSKÝ, J. Diferenciální počet funkce více proměnných. Nekonečné číselné řady. UTB Zlín, 2007.
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REKTORYS, K. a spol. Přehled užité matematiky I, II. Praha: Prometheus, 1995.
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ŘEZNÍČKOVÁ, J. Diferenciální rovnice. FAI UTB Zlín, 2008.
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ŠVARC, I. Automatizace/Automatické řízení. VUT v Brně, 2005.
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VAŠEK, V. Teorie automatického řízení II. Skripta FT VUT.
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VÍTEČKOVÁ, M., VÍTEČEK, A. Základy automatické regulace. VŠB TU Ostrava, 2008.
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