455-0516/02 – Control Systems Analysis (ARS)

Gurantor departmentDepartment of Measurement and ControlCredits5
Subject guarantorprof. Ing. Vilém Srovnal, CSc.Subject version guarantorprof. Ing. Vilém Srovnal, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2004/2005Year of cancellation2009/2010
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
OZA77 doc. Ing. Štěpán Ožana, Ph.D.
SRO30 prof. Ing. Vilém Srovnal, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 2+3
Combined Graded credit 2+12

Subject aims expressed by acquired skills and competences

The goal of subject is introduce students on analyze of dynamic systems and feedback control systems. This part is needed for following Master of Science study.Students will be ready for practical use identification of dynamic systems and control-system analysis using computers and simulation program MATLAB and SIMULINK. This subject is suitable for students another branches of study, which want familiarize control system theory.

Teaching methods

Lectures
Individual consultations
Tutorials
Experimental work in labs

Summary

There are explaining base notions and characteristics of control systems. Learners are introduce on analyze continuous and discrete linear dynamic systems and their external and internal characterization. The base characteristics: stability, controllability, observability. Methods of identification dynamic systems. Analyze of linear control systems in frequency-domain and time-domain. Stability of control systems, static accuracy and control quality.

Compulsory literature:

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

Recommended literature:

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

Way of continuous check of knowledge in the course of semester

Verification of study: Three individual tasks or one wasted individual project. Days of delivery individual works by WEB or writing documents ( 5,10 and 14 week or 14 week for project ) Area and form . Individual works contain model program and documentation for laboratory computer. Students demonstrate their tasks solving on computer. Closing Credit Test. Theoretical part of test consist 20 questions, which verify global student's knowledge . Practice part of test (6 examples) student prepares on paper or on computer. Total test time is 90 min. Conditions for credit: Study Classification . Credits - student is classifying on base 3 individual works 0-10 points or individual project 0-30 points, award of 14 th. week. Closing Credit test - theoretical part 0-30 points, practical part 0-40 points, total 0-100 points. Total classification 51-100 points according study rules.

E-learning

Další požadavky na studenta

Prerequisities

Subject codeAbbreviationTitleRequirement
455-0510 ZK Grouding of Cybernetics Recommended
455-0536 KYB Cybernetics Recommended

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures: 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. 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. Criterions of stability of Continuos-time Linear Systems and Discrete-time Linear Systems. Controllability and Availability. Criterions of Controllability and Availability . Observability and Reconstructionability. Methods of systems identification. Experimental identification. Identification Using Deterministic Signals. Identification Using Stochastic Signals. 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 . Characteristics 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. Laboratories: Laboratory task: Control of Temperature. Laboratory task: Control of rotation speed. Laboratory task: Control of Drives Laboratory task: Ball on Beam. Laboratory task: Ball on Desk. Laboratory task: Magnetic Levitation. Projects: All students received 3 individual theoretical projects, which are disposed on personal computer. All students received 3 individual practical projects. Computer labs: Modelling of Continuous Linear Systems in State-Space on PC. Homework No. 1:Modeling of Continuous-Time Linear System in State-Space on PC. Solution of State Equations of Continuous Linear Systems. PC Verification. Conventional Discrete-Time Linear Systems Analysis. PC Verification. Solution of State Equations of Continuous Linear Systems. PC Verification. Criterions of Controllability and Availability. PC Verification. Feedback Control System Analysis. Modelling of Feedback Control System on PC.Quality of Regulation Exercises. PC Verification.

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Graded exercises evaluation Graded credit 100 (100) 0
        Laboratory work Laboratory work 30  0
        Written exam Written test 70  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2009/2010 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 3 Optional study plan
2009/2010 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 3 Optional study plan
2009/2010 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 3 Optional study plan
2009/2010 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 3 Optional study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 3 Optional study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 3 Optional study plan
2008/2009 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 3 Optional study plan
2008/2009 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Šumperk 3 Optional study plan
2008/2009 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 3 Optional study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 3 Optional study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 3 Optional study plan
2007/2008 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 3 Optional study plan
2007/2008 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 3 Optional study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 3 Optional study plan
2006/2007 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T041) Control and Informatics Systems P Czech Ostrava 1 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 3 Optional study plan
2006/2007 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T041) Control and Informatics Systems K Czech Ostrava 1 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 3 Optional study plan
2005/2006 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T041) Control and Informatics Systems P Czech Ostrava 1 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 3 Optional study plan
2005/2006 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T041) Control and Informatics Systems K Czech Ostrava 1 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 3 Choice-compulsory study plan
2004/2005 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T041) Control and Informatics Systems P Czech Ostrava 1 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 3 Choice-compulsory study plan
2004/2005 (N2645) Electrical Engineerong, Communication and Computer Systems (2612T041) Control and Informatics Systems K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner