450-2034/03 – Control Systems Analysis (ARS)

Gurantor departmentDepartment of Cybernetics and Biomedical EngineeringCredits5
Subject guarantorIng. Martin Pieš, Ph.D.Subject version guarantorIng. Martin Pieš, Ph.D.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2017/2018Year of cancellation
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
OZA77 doc. Ing. Štěpán Ožana, Ph.D.
PIE046 Ing. Martin Pieš, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 2+12

Subject aims expressed by acquired skills and competences

The aim of the course is to provide students with a broader basis of the analysis of dynamic systems and control circuits. This part of the theory of automatic control is required for the following master's degree. Students will be able to practically carry out dynamic system identification and to analyze properties of dynamical systems and control circuits using computer technology and simulation systems, in particular, Simulink and Matlab / Scilab.

Teaching methods

Lectures
Tutorials
Project work

Summary

The course extends the knowledge of the subject Cybernetics and provides more detailed explanations of concepts from the field of control and deals with the properties of control systems. Students will gradually get acquainted with analysis of continuous and discrete linear dynamic systems, especially with their external and internal description. Regarding the properties of dynamic systems, it will discuss stability, controllability, reachability and observability. Students also get acquainted with the methods of identification of dynamical systems. It will be followed by analysis of linear control systems in both frequency and time domain. It also discusses the stability of control circuits, the static accuracy and quality control.

Compulsory literature:

Ogata, K. (2010). Modern control engineering. Boston, Prentice Hall.

Recommended literature:

Franklin,G.F.,at all.:Digital Control of Dynamic Systems. Adison-Wesley 1992. 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

Credit: It consists of the test, 5-10 points, and individual project 10-25 points (both parts are obligatory for completion of the subject). Project is handed over by the email, deadline is the 13th week of the semester. Obtaining credit is possible from the 14th week of the semester. It is necessary to achieve 80% of course attendance. Exam: It consist of written and oral exam. Written exam consist of theoretical part 5-10 points and practical part 15-55 points. Oral exam is from 1-10 points. 1 point is minimum. All three parts of exam is obligatory. Overall evaluation is between 51-100 points according faculty study code.

E-learning

Další požadavky na studenta

A student must be able to demonstrate that his project was carried out on his own. The credit and final test must be processed on student’s own, any violation may be a reason for unsuccessful result of a given part. Unless otherwise noted, only desktop laboratory PCs are allowed to use during education process, and only programs related to the subject. Detailed rules for a specific classroom are determined by a special document posted at the entrance to the classroom. Knowledge of work in MATLAB and Simulink; Knowledge of the concepts from subjects Signals and Systems and Cybernetics.

Prerequisities

Subject codeAbbreviationTitleRequirement
450-2019 KYB Cybernetics Compulsory

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures: 1. Introduction to the analysis of control systems. The mathematical background necessary for systems analysis. 2. The basic dynamic systems - Proportional, Integral , Derivative , the inertia, the second order, transport delay. Basic types of discrete systems. Proportional system. Summator, derivative system, inertia. The oscillating systems of the first and the second order. 3. Couplings between systems. Solving equations of continuous systems. The transition matrix. Generators input functions. Diagram of state variables. State-space and input/output description of the system. The state equation and transmission matrix. Transfer between state-space and input/output description. Frobenius and Jordan canonical form. 4. Solving equations of discrete systems . The transition matrix. Generator of input functions. Diagram of state variables. State-space representations of discrete systems. State-space and input/output description of the system. The state equation and transmission matrix. Frobenius and Jordan canonical form. 5. Context of continuous and discrete system description. Discretization of continuous systems. Frequency analysis of sampling. Zero-order and first order hold systems. 6. The feedback loop - a detailed description of the functionality. Block diagram, standard transfer function defined for the circuit. 7. Static and dynamic properties of the controllers. 8. Analysis of the feedback circuits in the time domain. Stability, static accuracy and control quality. Integral criteria of control quality. Criteria for controllability, reachability, observability and reconstructability. Analysis of continuous and discrete control systems in state space. 9. Analysis of feedback circuits in the frequency domain. Stability. Analysis using the frequency characteristics. Root locus method. 10. Nonlinear control systems. 11. Methods of identification of the systems. Experimental identification. Identification using deterministic signals. Identification using stochastic signals. 12. Methods for online identification of systems parameters. Solving problems by least squares method. OE models, ARX, ARMAX, and their use in the identification of system parameters 13. Case Study Part 1 - Analysis of educational physical models in the time and frequency domains - laboratory task. 14. Case Study Part 2 - Analysis of educational physical models in the time and frequency domains - laboratory task. Exercises: 1. Getting acquainted with the outline of the course and with the laboratory. Safety training. 2. The basic dynamic systems and their static and dynamic properties, demonstration in Matlab and Simulink /Scilab. 3. The state-space description of continuous systems, demonstration in Matlab and Simulink /Scilab 4. The internal state description of discrete systems, in Matlab and Simulink /Scilab. 5. Context of continuous and discrete system description, demonstration in Matlab and Simulink /Scilab - laboratory task. 6. Feedback control circuit, demonstration in Matlab and Simulink /Scilab. 7. Static and dynamic characteristics of the controllers, demonstration in Matlab and Simulink /Scilab - laboratory task. 8. Analysis of the feedback circuits in the time domain. 9. Analysis of feedback circuits in the frequency domain. 10. Analysis of nonlinear control circuits. 11. Identification systems, demonstration in Matlab and Simulink /Scilab - laboratory task. 12. Working on projects - practical part of offline identification. 13. Working on projects - practical part of online identification. 14. Credits, project control. Projects: Each student gets assignment of one project to be processed by PC. Time consumption: appx. 10 hours. The title of the project: Analysis of continuous and discrete cascade and multidimensional control circuits, static and dynamic optimization.

Conditions for subject completion

Full-time form (validity from: 2017/2018 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35 (35) 15
                Zápočtový test Written test 10  5
                Projekt Project 25  10
        Examination Examination 65 (65) 16
                Zkoušková písemka Written test 55  15
                Ústní zkouška Oral examination 10  1
Mandatory attendence parzicipation: Obligatory participation at all exercises, 2 apologies are accepted.

Show history
Combined form (validity from: 2017/2018 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35 (35) 15
                Zápočtový test Written test 10  5
                Projekt Project 25  10
        Examination Examination 65 (65) 16
                Zkoušková písemka Written test 55  15
                Ústní zkouška Oral examination 10  1
Mandatory attendence parzicipation: Mandatory participation in tutorials, 1 apology is accepted.

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 3 Choice-compulsory study plan
2019/2020 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 3 Choice-compulsory study plan
2018/2019 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 3 Choice-compulsory study plan
2018/2019 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 3 Choice-compulsory study plan
2017/2018 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 3 Choice-compulsory study plan
2017/2018 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 3 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner