Theory of Automatic Control (FSI-VZR)

The aim of the course is to formulate and establish basic conceptions of automatic control, computational models, theories and algorithms of control systems.

Analysis and design of linear continuous-time and discrete feedback control systems. Students will obtain the basic knowledge of automation, description and classification of control systems, determination of their characteristics. Students will be able to solve problems stability of control systems.

In order to be awarded the course-unit credit students must prove 100% active participation in laboratory exercises and elaborate a paper on the presented themes. The exam is written and oral. In the written part a student compiles two main themes which were presented during the lectures and solves three examples. The oral part of the exam will contain discussion of tasks and possible supplementary questions.

Attendance and activity at the seminars are required. One absence can be compensated for by attending a seminar with another group in the same week, or by the elaboration of substitute tasks. Longer absence can be compensated for by the elaboration of compensatory tasks assigned by the tutor.

1. Introduction to automation. Logic control, logic functions, Boolean algebra, expression of Boolean functions, minimization by Boolean algebra rules and Karnaugh.


2. NAND and NOR logic functions, combinational and sequential logic circuits, programmable automata.


3. Continuouscontrolcircuit, Laplacetransform, mathematicaldescriptionofcontrolsystems, differentialequations, transfer.


4. Impulse and transition functions and characteristics, division of control terms. Frequency transfer, frequency characteristics in the complex plane and in logarithmic coordinates, poles and zeros, block algebra.


5. Transport delay systems, controllers and their dynamic properties.


6. Stability of the control circuit in general, stability criteria. Steady state control accuracy.


7. Cascadecontrol.


8. Qualityofcontrol and adjustmentofcontrollers, Ziegler-Nicholsmethod, adjustmentofcontrollersaccording to minimum oflinear and quadraticcontrol area.


9. Discretecontrolcircuit, sampler, shapers, Z-transform, differentialequations.


10. Z-transfer, discrete impulse and transient function and characteristic, frequency transfer and frequency characteristic of discrete systems.


11. Block algebra ofdiscretesystems, digitalcontrollers (position and incrementalalgorithm), stability ofdiscretecontrolcircuit in general.


12. Stability criteria of discrete control circuits.


13. Controllerswithtwodegreesoffreedom.

1. Logic control (Siemens LOGO!Soft, control of the combination circuit using a programmable logic controller).


2. Logic control (control of the sequential circuit using a programmable logic controller).


3. Continuous linear control (feedback loop with a DC motor).


4. Continuous linear control (Ziegler-Nichols method applied to a DC motor circuit).

1. Logical Control (Boolean Algebra, Algebraic Minimization of Logical Functions, Block Diagrams, Introduction to Siemens LOGO!Soft).


2. Logical Control (Word Problems, Truth Tables, Minimization Using Karnaugh Maps, Combinational Logic Circuits – Simulation).


3. Introduction to Simulink.


4. Continuous Linear Control (Differential Equations, Transfer Functions, Impulse and Step Responses, Impulse and Step Characteristics, Simulation in MATLAB).


5. Continuous Linear Control (Frequency Transfer, Frequency Characteristics in the Complex Plane, Frequency Characteristics in Logarithmic Coordinates, Simulation).


6. Continuous Linear Control (Block Algebra, Controllers, Control Loops, Stability Simulation).


7. Discrete Control (Discrete Control Loop, Z-Transform, Difference Equations).


8. Discrete Control (Impulse and Step Functions, Stability).


9. Final Test.