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Ukončeno v akademickém roce 2003/2004

Control Systems Analysis

Type of study Bachelor
Language of instruction Czech
Code 455-0516/01
Abbreviation ARS
Course title Control Systems Analysis
Credits 6
Coordinating department Department of Measurement and Control
Course coordinator prof. Ing. Vilém Srovnal, CSc.

Osnova předmětu

Lectures:
General Concept of Control System Design. Types of Control System. Characteristics of Control Systems. Examples of Regulation. Base Concepts and definition of system theory. Dynamic Systems.

Continuos-time Linear Systems Analysis. Conventional Continuos Linear Systems Analysis. Differential Equation. Transfer Function. Impulse Response Function. Unit Step Response function. Characteristics of Systems in Time and Frequency-domain. Block and signal diagrams. Basic Dynamic Systems - Proportional, Integral, Derivative and General First Order System, Second Order System, Time Delay.
Multivariable Systems. Transfer Matrix. Zeros and Poles. Discrete-time Dynamic Systems Analysis. Differential Equation. Discrete Transfer Function. Impulse and Unit Step Response sequence. Basic Types of Discrete-time Systems. Zero, Firs and Second Order Systems Discrete Transfer Function with Time Delay.
State Variable Representation. Analysis of Dynamic Systems in. State Space. Solution of State Equations. State Transition Matrix . State Variable Diagrams. Relationship between Conventional Methods and State-Space Methods. State Equations and Transfer-Function and their conversions. Initial Conditions and Initial State.
Solution of State Equations of Discrete-time systems. State Transition Matrix . State Variable Diagrams. Relationship between Conventional Methods and State-Space Methods. State Equations and Transfer-Function and their conversions. Initial Conditions and Initial State.
Relationship between Continuos and Discrete-time Systems. Discretization of Continuos-time Systems. Sampled Data Systems. Frequency Analysis of Sampling. Hold elements. Modified Discrete-time Transfer Function.
Stability of Continuos-time Linear Systems. Criterions of stability. Stability of Discrete-time Linear Systems.
Controllability and Availability. Criterions of Controllability and Availability . Observability and Reconstructionability.
Methods of systems identification.
Structures of Feedback Control Systems. Characteristic of Linear Feedback Control Systems. Analysis of Feedback Control Systems.
Dynamic characteristic of Continuos-time Linear Controllers and Realization . Dynamic characteristic of Discrete-time Linear Controllers and Realization .
Standard Transfer Functions of Feedback Control Systems .. Stability Linear Feedback Control Systems. Nyquist Stability Criterion.
Analysis of Continuos-time Linear Control Systems . Static accuracy . Dynamic Characteristics . Quality of Regulation. Integral Criterions of Quality.
Frequency Analysis, Root-Locus Analysis and State-Space Analysis Feedback Control Systems.


Exercises:

Introductions to practice, class ticket requirements. L-transformation exercises.
Test No.1 : Conventional Continuos Linear Systems Analysis.
Test No. 2 : Analysis of Dynamic Systems in State Space.


Projects:
All students received 3 individual projects, which are disposed on personal computer.

Computer labs:
Conventional Continuos Linear Systems Analysis. PC Verification.
Homework No. 1:Modeling of Continuous-Time Linear System.
Modelling of Continuous-Time Linear System on PC.
Conventional Discrete-Time Linear Systems Analysis. PC Verification.
Solution of State Equations of Continuous Linear Systems. PC Verification.
Homework No. 2 : Modelling of Continuous Linear Systems in State-Space on PC.
Modelling of Continuous Linear Systems in State-Space on PC.
Solution of State Equations of Discrete-Time Linear Systems. PC Verification.

Stability of Continuous-Time and Discrete-Time Linear Systems Exercises. Graphical and Numerical Criterions of Stability. PC Verification.
Criterions of Controllability and Availability. PC Verification.
Feedback Control System Analysis. Modelling of Feedback Control System on PC.
Standard Transfer Function. Stability Linear Feedback Control Systems. PC Verification.
Quality of Regulation Exercises. PC Verification.

Povinná literatura

Srovnal, V. : Control Systems Analysis. Student text book web site FEI, 2007

Doporučená literatura

Franklin,G.F.,at all.:Digital Control of Dynamic Systems. Adison-Wesley 1992.
Ogata,K.:Modern Control Engineering. Prentice-Hall 1990.
Ogata,K.:Discrete-time Control Systems.Prentice-Hall 1987.
Shinners,S.M.:Modern Control System Theory and Design. John Wiley&Sons 1992