455-0516/01 – Control Systems Analysis (ARS)
| Gurantor department | Department of Measurement and Control | Credits | 6 |
| Subject guarantor | prof. Ing. Vilém Srovnal, CSc. | Subject version guarantor | prof. Ing. Vilém Srovnal, CSc. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2003/2004 | Year of cancellation | 2003/2004 |
| Intended for the faculties | FEI | Intended for study types | Bachelor |
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:
Two credit tests and 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. Credit tests confirms theoretic knowledge of students.
Closing Test - writing part of examination .
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 180 min.
Conditions for credit:
Study Classification .
Exercise credits - student is classifying on base 2 test 0-10 points and 3 individual works 0-5 points or individual project 0-15 points. Award of 14 th. week. Condition for receiving is min. 20 points, maximum of receiving points is 35.
Examination - Writing part - Closing test - theoretical part 0-20 points, practical part 0-35 points, total 0-55 points. Oral part 0-10 point. Total classification 51-100 points according study rules.
E-learning
Other requirements
Prerequisities
Co-requisities
Subject has no co-requisities.
Subject syllabus:
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.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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