TU Delft
Year
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NEDERLANDSENGLISH
Organization
2017/2018 Mechanical, Maritime and Materials Engineering Master Systems and Control
SC42060
Modelling and Nonlinear Systems Theory
ECTS: 4
Responsible Instructor
Name E-mail
Dr.ing. S. Wahls    S.Wahls@tudelft.nl
Instructor
Name E-mail
Dr.ir. E. Steur    E.Steur@tudelft.nl
Contact Hours / Week x/x/x/x
0/4/0/0
Education Period
2
Start Education
2
Exam Period
2
3
Course Language
English
Expected prior knowledge
SC42015 Control Theory
Course Contents
The main topics of the course are:

(1) Fundamentals of nonlinear systems
(2) Analysis of planar systems
(3) Stability theory for autonomous systems
(4) Stability theory for time-varying systems
(5) Observer design
(6) Elementary bifurcations
(7) Lax-Integrable systems
Study Goals
Students can:
- determine if a system is nonlinear/autonomous/Lipschitz continuous/solvable
- sketch and interpret phase diagrams
- determine the equilibrium points and limit cycles of a 2d system, including their type
- assess stability of equilibria using Lyapunov’s methods and, if needed, the invariance principle
- estimate the domain of attraction of an equilibrium point
- determine bounds on solutions of nonlinear systems
- design observers for nonlinear systems
- recognize and classify types of bifurcations
- check if a evolution equation corresponds to a given Lax pair, determine missing parameters in a Lax pair
Education Method
Lectures, problem sets and practice sessions (“werkcolleges”).
Literature and Study Materials
- H. K. Khalil: "Nonlinear Control", Pearson, 1st Global Edition, 2015.
- Additional handouts
Assessment
Written exam.
Remarks
Old course code: SC4092
Department
3mE Department Delft Center for Systems and Control