13E053NSU - Nonlinear Systems

Course specification
Course title		Nonlinear Systems
Acronym		13E053NSU
Study programme		Electrical Engineering and Computing
Module		Signals and Systems
Type of study		bachelor academic studies
Lecturer (for classes)		professor PhD Aleksandar Rakić
Lecturer/Associate (for practice)		asst. Aleksa Stojić, electrical and computer engineer
Lecturer/Associate (for OTC)		asst. Aleksa Stojić, electrical and computer engineer Maša Tiosavljević, electrical and computer engineer Aleksa Jovanović, electrical and computer engineer
ESPB		6.0	Status	elective
Condition		None.
The goal		Introduce students to basic concepts of nonlinear systems' modeling and analysis. Present the methods of nonlinear stability analysis.
The outcome		Students are able to: recognize and analyze nonlinear phenomena in systems, model nonlinear systems, use acquired knowledge in analysis of control systems' stability.
Contents
URL to the subject page		https://automatika.etf.bg.edu.rs/sr/13e053nsu
URL to lectures		https://teams.microsoft.com/l/team/19%3Ahwi65wXsH1AqISVcSkQXqz70PM2HN-lVHSbK2MjypIg1%40thread.tacv2/conversations?groupId=e8998036-567a-4e43-8bc7-b23523c95f5f&tenantId=1774ef2e-9c62-478a-8d3a-fd2a495547ba
Contents of lectures		Nonlinear systems modeling and analysis. Phase plane analysis. Existence of limit cycles. Describing function method. Fundamentals of Lyapunov theory. Concepts of stability. Linearization and local stability. Lyapunov direct method. Advanced stability theory. Absolute stability. Introduction to nonlinear control systems design.
Contents of exercises		Exercises of approximate stability analysis methods. Application of Lyapunov methods. Methods of absolute stability analysis for nonlinear systems. Application of computer aided analysis and simulations in problems of modeling and stability analysis for nonlinear systems.
Literature
H. Khalil, Nonlinear systems. Harlow: Pearson, 2014. (Original title) M. Vidyasagar, Nonlinear systems analysis. Philadelphia: SIAM, 2002. (Original title) T.B. Petrović, A.Ž. Rakić: Nonlinear Dynamic Systems (in preparation). J. Slotine and W. Li, Applied nonlinear control. Taipei: Pearson education Taiwan, 2005. (Original title)
Number of hours per week during the semester/trimester/year
Lectures	Exercises	OTC	Study and Research	Other classes
3	1	1
Methods of teaching		Lectures, auditory exercises, laboratory exercises.
Knowledge score (maximum points 100)
Pre obligations		Points	Final exam	Points
Activites during lectures		0	Test paper	30
Practical lessons		5	Oral examination	0
Projects
Colloquia		65
Seminars		0