65-443 Mathematical System and Control Theory (in English)

Instructors: Prof. Dr. Jens Rademacher

Event type: Lecture

Displayed in timetable as: M-VMMOA-V

Hours per week: 2

Language of instruction: English

Min. | Max. participants: 5 | -

Comments/contents:
The course covers topics in linear systems theory such as controllability, observability and stabilizability. We will discuss Kalman and Hautus criteria as well as different normal forms. An integral part of the lecture will be the construction of stabilizing feedback controllers. To this end we discuss the pole placement theorem and state observers. In the final part of the lecture we will consider relative degree, zero dynamics, high-gain feedback and adaptive stabilization.

Didactic concept:
The course, comprising 2+1 hours per week, is split into a lecture series (2h each) and accompanying exercise classes (1h, i.e., 2h every other week). It is necessary to attend the lectures and to actively participate in the exercise classes.

Literature:
Wide areas of the content of the lecture are covered by the textbook

- Trentelman, Stoorvogel, Hautus: Control Theory for Linear Systems, Springer, 2001

PDF: http://www.math.rug.nl/trentelman/psfiles/book_2005.pdf

Additional examination information:
Oral exams will be organized during the winter break (February and March). Further instructions and prerequisites will be explained at the beginning of the course.