Nonlinear dynamical systems

Course overview

Course codeFSSY045
ECTS credits7.5
DepartmentELECTRICAL ENGINEERING
Graduate schoolElectrical Engineering
PeriodicityGiven every odd year in SP3
LanguageEnglish
ApplicationContact the course coordinator

Course coordinator

To personal page
Balázs Adam Kulcsár
Full Professor, Systems and Control, Electrical Engineering
Contact
To personal page
Torsten Wik
Head of Unit, Systems and Control, Electrical Engineering
Contact

About the course

Applications where nonlinear phenomena are of importance exist in many engineering areas. The course is intended to provide fundamental knowledge in the classic theory of finite-dimensional nonlinear dynamical systems. One of the most powerful and widely spread results of nonlinear systems theory are the Lyapunov methods (and their extensions) for the investigation of stability of a nonlinear dynamical system - this is a major topic in the course. The course also treats some modern methods for the design of nonlinear controllers, e.g. exact feedback linearization. One of the course goals is to prepare the participants to be able to read research articles in the area; another one is to give training in problem solving and critical study of the material.

Contents
Existence and uniqueness of solutions. Phase plane analysis. Limit cycles. Lyapunov theory and the invariance principle. Input-output stability. Popov's method. Passivity and positive real transfer functions. The describing function method. Perturbation theory. Feedback control. Exact feedback linearization.

More information

Torsten Wik Telephone: 031-772 5146 Email: tw@chalmers.se Balazs Kulcsar Telephone: 031-772 1785 Email: kulcsar@chalmers.se

Literature

Hassan Khalil: Nonlinear Systems (3rd ed.), Prentice Hall, 2002.

Lecturer

Torsten Wik and Balázs Adam Kulcsár