352-0553/01 – Nonlinear Control (NŘ)

Gurantor departmentDepartment of Control Systems and InstrumentationCredits5
Subject guarantordoc. Ing. Renata Wagnerová, Ph.D.Subject version guarantordoc. Ing. Renata Wagnerová, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2013/2014Year of cancellation2022/2023
Intended for the facultiesFSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
WAG52 doc. Ing. Renata Wagnerová, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+2
Part-time 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, Miluše a Antonín VÍTEČEK, 2019. Nelineární systémy [online]. Ostrava: VŠB-TU Ostrava [cit. 2020-04-20]. ISBN 978-80-248-4302-5. Dostupné z: http://books.fs.vsb.cz/NelSys/NelSys.pdf. VÍTEČKOVÁ, Miluše a Antonín VÍTEČEK, 2020. Nelineární systémy. Fuzzy řízení [online]. Ostrava: VŠB-TU Ostrava. ISBN 978-80-248-4414-5. Dostupné z: http://books.fs.vsb.cz/NelSysFuzzy/Viteckova-Vitecek-Nelinearni-systemy-Fuzzy-rizeni.pdf. JURA, Pavel, 2003. Základy fuzzy logiky pro řízení a modelování. Brno: Vysoké učení technické v Brně, Nakladatelství VUTIUM. ISBN 80-214-2261-0. ZÍTEK, Pavel a Antonín VÍTEČEK, 1999. Návrh řízení podsystémů se zpožděními a nelinearitami. Praha: Vydavatelství ČVUT. ISBN 80-010-1939-X. KHALIL, Hassan K. Nonlinear systems. 3rd ed. Upper Saddle River: Prentice Hall, c2002. ISBN 0-13-067389-7. SASTRY, Shankar. Nonlinear systems: analysis, stability, and control. New York: Springer, c1999. Interdisciplinary applied mathematics. Systems and control, v. 10. ISBN 0-387-98513-1. ARIMOTO, Suguru. Control theory of non-linear mechanical systems: a passivity-based and circuit-theoretic approach. Oxford: Clarendon Press, 1996. Oxford engineering science series, 49. ISBN 0-19-856291-8. VEČEŘA, Leo a Renata WAGNEROVÁ, 2005. Návrh robustních algoritmů řízení technologických procesů. Elektronické učební texty [online]. Ostrava: VŠB-TU Ostrava [cit. 2020-04-20]. Dostupné z: http://books.fs.vsb.cz/Agregace/index.html

Recommended literature:

FRANKLIN, Gene F., J. David POWELL a Abbas EMAMI-NAEINI. Feedback control of dynamic systems. 6th ed., international ed. Upper Saddle River: Pearson, c2010. ISBN 978-0-13-500150-9. VÍTEČKOVÁ, Miluše a Antonín VÍTEČEK, 2011. Vybrané metody seřizování regulátorů [online]. Ostrava: Vysoká škola báňská - Technická univerzita [cit. 2018-01-04]. ISBN 978-80-248-2503-8. Dostupné z: http://books.fs.vsb.cz/ZRMS/vybrane-metody-serizovani-regulatoru.pdf

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

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

Full-time form (validity from: 2013/2014 Summer semester, validity until: 2022/2023 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 35  20
        Examination Examination 65 (65) 26 3
                písemná část Written test 45  20
                ústní část Oral examination 20  6
Mandatory attendence participation: Credit (max. 35 points, min. 20 points) - Students must complete two tests and submit three programs. Exam (max. 65 points, min. 24 points) - the written part consists of 5 examples, each worth 9 points, i.e., a total of 45 points (min. 12). The oral part consists of 2 theoretical questions, each for 10 points, the maximum is 20 points (min. 6).

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Conditions for subject completion and attendance at the exercises within ISP: Credit (max. 35 points, min. 20 points) - Students must complete two tests and submit three programs. Exam (max. 65 points, min. 24 points) - the written part consists of 5 examples, each worth 9 points, i.e., a total of 45 points (min. 12). The oral part consists of 2 theoretical questions, each for 10 points, the maximum is 20 points (min. 6).

Show history

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2022/2023 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Compulsory study plan
2022/2023 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Compulsory study plan
2021/2022 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Compulsory study plan
2021/2022 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Compulsory study plan
2020/2021 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Compulsory study plan
2020/2021 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Compulsory study plan
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

Assessment of instruction



2020/2021 Summer
2019/2020 Summer
2016/2017 Summer
2015/2016 Summer
2013/2014 Summer