352-0553/01 – Nonlinear Control (NŘ)

Gurantor departmentDepartment of Control Systems and InstrumentationCredits5
Subject guarantorprof. Ing. Miluše Vítečková, CSc.Subject version guarantorprof. Ing. Miluše Vítečková, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2013/2014Year of cancellation
Intended for the facultiesFSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
VIT40 prof. Ing. Antonín Víteček, CSc.,Dr.h.c.
VIT60 prof. Ing. Miluše Vítečková, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+2
Combined Credit and Examination 10+4

Subject aims expressed by acquired skills and competences

The main objective of the subject “Nonlinear Control” is acquainting students with the basic and the advanced methods which are used in the theory of the nonlinear automatic control. These methods are e.g.: the describing function method and its use for the plant identification, the Popov and circle stability criterion, stability checking by the first and second Lyapunov method. Furthermore the fuzzy control and the method of aggregation of the state variables. are considered. Attention is devoted to extremal control systems too.

Teaching methods

Lectures
Tutorials

Summary

The subject “Nonlinear Control” belongs among theoretical subjects which form the graduate profile of the student in master study program in the field of automatic control. Its objective is acquainting students with the advanced control methods of nonlinear control.

Compulsory literature:

VÍTEČKOVÁ, M., VÍTEČEK, A. Nelineární systémy. Analýza. Skripta FS, VŠB-TU Ostrava, 2019. ISBN 978-80-248-4302-5. http://books.fs.vsb.cz/NelSys/NelSys.pdf BALÁTĚ, J. Automatické řízení (2. Přepr. vydání). Praha: Nakladatelství BEN, 2004, 664 s. ISBN 80-7300-148-9 ŠVARC, I., MATOUŠEK R., ŠEDA, M., VÍTEČKOVÁ, M. Automatické řízení (2. vydání). Brno: Akademické nakladatelství CERM, 2011, 348 s. ISBN 978-80-214-4398-3 JURA, P. Základy fuzzy logiky pro řízení a modelování. Brno: Nakladatelství VUTIUM, VUT, 2003, 132 s. ISBN 80-214-2261-0 VÍTEČKOVÁ, M., VÍTEČEK, A. Základy automatické regulace (2.přepracované vydání). Ostrava: VŠB-TU Ostrava, 2008, 200 s. ISBN 978- 80-248-1924-2 ZÍTEK, P., VÍTEČEK, A. Návrh řízení podsystémů se zpožděními a nelinearitami. Praha: Vydavatelství ČVUT, 1999, 165 s. ISBN 80-01-01939-X Khalil, H. K., Nonlinear Systems, 3th Edition. Prentice Hall. Upper Saddle River, 2002 Sastry, S. Nonlinear Systems. Analysis, Stability and Control. Springer-Verlag, New York, 1999 ARIMOTO, S. Control Theory of Non-linear Mechanical Systems. A Passivity-based and Circuit-theoretic Approach. Clarendon Press, Oxford, 1996

Recommended literature:

FRANKLIN, G.F., POWELL, J.D., EMAMI-NAEINI, A. Feedback Control of Dynamic Systems (4th ed.). Upper Saddle River: Prentice-Hall, 2002, 910 p., ISBN 0-13-032393-4 VÍTEČKOVÁ, M., VÍTEČEK, A. Anglicko-český slovník základních pojmů z oblasti automatického řízení 2. rozšířené vydání). Ostrava: VŠB-TU Ostrava, 2009, 133 s., ISBN 80-248-2115-3 VÍTEČKOVÁ, M., VÍTEČEK, A. Vybrané metody seřizování regulátorů. VŠB-TU Ostrava, Fakulta strojní, Ostrava 2011, 230 str., ISBN 978-80-248-2503-8

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

The elaboration of the individual tasks from the area of nonlinear control. Evaluation - according to the level of elaboration of the individual tasks.

Prerequisities

Subject codeAbbreviationTitleRequirement
352-0516 TAŘ Automatic Control Theory Compulsory

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Mathematical models of nonlinear dynamical systems. Basic interconnections of nonlinear static systems. 2. State and phase space method. Stability in Lyapunov sense. Basic types of singular points and limit cycles. 3. Popov and circle stability criterion. 4. Linearization, the first Lyapunov method. 5. The second Lyapunov method. 6. Describing function method. 7. Relay method – use for identification. 8. Two- and thre-position control. 9. SISO extremal control systems. 10. Essential of theory of fuzzy sets and logic. 11. Linguistic and fuzzy control algorithms. 12. Fuzzification, inference mechanism and defuzzification. 13. Method of aggregation of state variables. 14. Robust control methods.

Conditions for subject completion

Combined form (validity from: 2013/2014 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 35  20
        Examination Examination 65  26
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Compulsory study plan
2019/2020 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Compulsory study plan
2018/2019 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Compulsory study plan
2018/2019 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Compulsory study plan
2017/2018 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Compulsory study plan
2017/2018 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Compulsory study plan
2016/2017 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Compulsory study plan
2016/2017 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Compulsory study plan
2015/2016 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Compulsory study plan
2015/2016 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Compulsory study plan
2014/2015 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Compulsory study plan
2014/2015 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Compulsory study plan
2013/2014 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Compulsory study plan
2013/2014 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner