352-0553/02 – Nonlinear Control (NŘ)
| Gurantor department | Department of Control Systems and Instrumentation | Credits | 5 |
| Subject guarantor | doc. Ing. Renata Wagnerová, Ph.D. | Subject version guarantor | doc. Ing. Renata Wagnerová, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2020/2021 | Year of cancellation | |
| Intended for the faculties | FS | Intended for study types | Follow-up Master |
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:
Recommended literature:
Additional study materials
Way of continuous check of knowledge in the course of semester
Credit 35 points (minimum 20 points)
Students have to elaborate 3 programs and pass 2 tests, each activity maximum 7 points.
Exam 65 points
written exam (max. 45 points)
oral exam (max. 20 points)
E-learning
lms.vsb.cz
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 has no prerequisities.
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction