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13E053NSU - Nonlinear Systems

Course specification
Course title Nonlinear Systems
Acronym 13E053NSU
Study programme Electrical Engineering and Computing
Module
Type of study bachelor academic studies
Lecturer (for classes)
Lecturer/Associate (for practice)
Lecturer/Associate (for OTC)
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
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
  1. M. Vidyasagar: Nonlinear Systems Analysis, Prentice-Hall, New Jersey, 1993.
  2. T.B. Petrović, A.Ž. Rakić: Nonlinear Dynamic Systems (in preparation).
  3. H.K. Khalil: Nonlinear Systems (3rd ed.), Prentice-Hall, New Jersey, 2002.
  4. J. J. E. Slotine, W. Li: Applied Nonlinear Control, Prentice-Hall, New Jersey, 1991.
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 50
Practical lessons 0 Oral examination 0
Projects
Colloquia 50
Seminars 0