450-2034/01 – 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 introduction2010/2011Year of cancellation2016/2017
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 Graded credit 2+2
Combined Graded credit 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

It consists of the final test, 40-75 points, and individual project 11-25 points (both parts are obligatory for completion of the subject). Project is handed over by the email, deadline is the end of the credit week. Obtaining credit is possible from the 14th week of the semester. It is necessary to achieve 80% of course attendance. 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 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.

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. 2. The mathematical background necessary for systems analysis. 3. 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. 4. 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. 5. 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. 6. Context of continuous and discrete system description. Discretization of continuous systems. Frequency analysis of sampling. Zero-order and first order hold systems. 7. The feedback loop - a detailed description of the functionality. Block diagram, standard transfer function defined for the circuit. 8. Static and dynamic properties of the controllers. 9. Methods of identification of the systems. Experimental identification. Identification using deterministic signals. Identification using stochastic signals. 10. 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. 11. Analysis of feedback circuits in the frequency domain. Stability. Analysis using the frequency characteristics. Root locus method. 12. Nonlinear control systems. 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. Identification systems, demonstration in Matlab and Simulink /Scilab - laboratory task. 9. Analysis of the feedback circuits in the time domain 10. Analysis of feedback circuits in the frequency domain. 11. Working on projects. 12. Nonlinear control circuits. 13. Case study - an analysis of teaching physical models and demonstrations of their work - laboratory task. 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

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2016/2017 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 3 Choice-compulsory study plan
2016/2017 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 3 Choice-compulsory study plan
2015/2016 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 3 Choice-compulsory study plan
2015/2016 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 3 Choice-compulsory study plan
2014/2015 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 3 Choice-compulsory study plan
2014/2015 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 3 Choice-compulsory study plan
2014/2015 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 3 Choice-compulsory study plan
2014/2015 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 3 Choice-compulsory study plan
2013/2014 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 3 Choice-compulsory study plan
2013/2014 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 3 Choice-compulsory study plan
2012/2013 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 3 Choice-compulsory study plan
2012/2013 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 3 Choice-compulsory study plan
2011/2012 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 3 Choice-compulsory study plan
2011/2012 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 3 Choice-compulsory study plan
2010/2011 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 3 Choice-compulsory study plan
2010/2011 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 3 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner