352-0550/02 – Advanced Methods of Automatic Control (PMAŘ)

Gurantor department	Department of Control Systems and Instrumentation	Credits	4
Subject guarantor	doc. Ing. Renata Wagnerová, Ph.D.	Subject version guarantor	doc. Ing. Renata Wagnerová, Ph.D.
Study level	undergraduate or graduate	Requirement	Optional
Year	2	Semester	summer
		Study language	English
Year of introduction	2015/2016	Year of cancellation
Intended for the faculties	FS, USP	Intended for study types	Follow-up Master

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
VIT60	prof. Ing. Miluše Vítečková, CSc.

Extent of instruction for forms of study
Form of study	Way of compl.	Extent
Full-time	Credit and Examination	2+2
Part-time	Credit and Examination	10+4

Subject aims expressed by acquired skills and competences

The subject “Advanced Methods of Automatic Control ” belongs among subjects, which form the graduate profile of the student in master study program “Mechatronics”. Its objective is acquainting with the advanced methods, which are used in theory of automatic control. These methods are robust and optimal control.

Teaching methods

Lectures
Tutorials

Summary

Robustness of the control system with analog controller. Optimal control systems, optimality criteria, methods of optimal control design. Robust control, control in sliding modes.

Compulsory literature:

BALÁTĚ, J. Automatické řízení (2. vydání). Nakladatelství BEN – Technická literatura, Praha, 2005 VÍTEČEK, A., VÍTEČKOVÁ, M. Optimální systémy řízení. FS VŠB-TU Ostrava, 1999 (dotisk 2002) ŠVARC, I., ŠEDA, M., VÍTEČKOVÁ, M. Automatické řízení. Skripta Fakulty strojního inženýrství, VUT v Brně, Akademické nakladatelství CERM, Brno, 2007. ISBN 978-80-214-3491-2. ZÍTEK, P., VÍTEČEK, A. Návrh řízení podsystémů se zpožděními a nelinearitami. Vydavatelství ČVUT, Praha, 1999 ÅSTRÖM, K. J., HÄGGLUND, T. (1995) PID Controllers: Theory, Design, and Tuning. Second Edition. ISA – Instrument Society of America, Research Triangle Park, 1995, 343 p. SKOGESTAD, S., POSTLETHWAITE, I. (2005) Multivariable Feedback Control. Analysis and Design. Second Edition. John Wiley & Sons, River Street, 2005, 574 p. 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. http://books.fs.vsb.cz/ZRMS/stavove-rizeni.pdf http://books.fs.vsb.cz/ZRMS/state-space-control.pdf http://books.fs.vsb.cz/ZRMS/vybrane-metody-serizovani-regulatoru.pdf http://books.fs.vsb.cz/Agregace/index.html http://books.fs.vsb.cz/StatickaOptimalizace/index.htm http://books.fs.vsb.cz/NelSys/NelSys.pdf

Recommended literature:

ARIMOTO, S. Control Theory of Non-linear Mechanical Systems. A Passivity-based and Circuit-theoretic Approach. Clarendon Press, Oxford, 1996 CANUDAS DE WIT, C. ,SICILIANO, B., BASTIN, G. Theory of Robot Control. Springer – Verlag, Berlin, 1996

Way of continuous check of knowledge in the course of semester

Final test

E-learning

Other requirements

Delivery of two specified programs.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Acquainting with problems and content of subject. Mathematical models of linear MIMO dynamic elements. 2. MIMO control systems, stability, autonomity, invariance.. 3. Synthesis of linear MIMO control systems. 4. State-space models of MIMO systems and their behavior. 5. Basic problems of optimal control. Dynamic programming. Bellman principle of optimality. 6. Quadratic optima control, Potriagin minimum principle. 7. Time optimal control, robust control methods. 8. Control in sliding modes. 9. Method of state variables aggregation.

Conditions for subject completion

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

Occurrence in study plans

Academic year	Programme	Branch/spec.	Form	Study language	Tut. centre	Year	Type of duty
2024/2025	(N0714A270004) Mechatronics		P	English	Ostrava	2	Choice-compulsory type B	study plan
2023/2024	(N0714A270004) Mechatronics		P	English	Ostrava	2	Choice-compulsory type B	study plan
2022/2023	(N0714A270004) Mechatronics		P	English	Ostrava	2	Choice-compulsory type B	study plan
2021/2022	(N0714A270004) Mechatronics		P	English	Ostrava	2	Choice-compulsory type B	study plan
2020/2021	(N0714A270004) Mechatronics		P	English	Ostrava	2	Choice-compulsory type B	study plan
2019/2020	(N3943) Mechatronics	(3906T006) Mechatronic Systems	P	English	Ostrava	2	Optional	study plan
2019/2020	(N0714A270004) Mechatronics		P	English	Ostrava	2	Choice-compulsory type B	study plan
2018/2019	(N3943) Mechatronics	(3906T006) Mechatronic Systems	P	English	Ostrava	2	Optional	study plan
2017/2018	(N3943) Mechatronics	(3906T006) Mechatronic Systems	P	English	Ostrava	2	Optional	study plan
2016/2017	(N3943) Mechatronics	(3906T006) Mechatronic Systems	P	English	Ostrava	2	Optional	study plan
2015/2016	(N3943) Mechatronics	(3906T006) Mechatronic Systems	P	English	Ostrava	2	Optional	study plan

Occurrence in special blocks

Block name	Academic year	Form of study	Study language	Year	W	S	Type of block	Block owner

Assessment of instruction

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