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

Course offering details
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Instructors: Dr. Philipp Kunde Dipl.-Math.

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.

Appointments
Date From To Room Instructors
1 Mon, 11. Oct. 2021 16:15 17:45 Geom H5 Dr. Philipp Kunde Dipl.-Math.
2 Mon, 18. Oct. 2021 16:15 17:45 Geom H5 Dr. Philipp Kunde Dipl.-Math.
3 Mon, 25. Oct. 2021 16:15 17:45 Geom H5 Dr. Philipp Kunde Dipl.-Math.
4 Mon, 1. Nov. 2021 16:15 17:45 Geom H5 Dr. Philipp Kunde Dipl.-Math.
5 Mon, 8. Nov. 2021 16:15 17:45 Geom H5 Dr. Philipp Kunde Dipl.-Math.
6 Mon, 15. Nov. 2021 16:15 17:45 Geom H5 Dr. Philipp Kunde Dipl.-Math.
7 Mon, 22. Nov. 2021 16:15 17:45 Geom H5 Dr. Philipp Kunde Dipl.-Math.
8 Mon, 29. Nov. 2021 16:15 17:45 Geom H5 Dr. Philipp Kunde Dipl.-Math.
9 Mon, 6. Dec. 2021 16:15 17:45 Geom H5 Dr. Philipp Kunde Dipl.-Math.
10 Mon, 13. Dec. 2021 16:15 17:45 Geom H5 Dr. Philipp Kunde Dipl.-Math.
11 Mon, 3. Jan. 2022 16:15 17:45 Geom H5 Dr. Philipp Kunde Dipl.-Math.
12 Mon, 10. Jan. 2022 16:15 17:45 Geom H5 Dr. Philipp Kunde Dipl.-Math.
13 Mon, 17. Jan. 2022 16:15 17:45 Geom H5 Dr. Philipp Kunde Dipl.-Math.
14 Mon, 24. Jan. 2022 16:15 17:45 Geom H5 Dr. Philipp Kunde Dipl.-Math.
Exams in context of modules
Module (start semester)/ Course Requirement combination Exam Date Instructors Compulsory pass
Ma-M-VMMOA_1 Advanced Modern Methods of Optimization and Approximation 1 (WiSe 21/22) / M-VMMOA-V  Mathematical System and Control Theory (in English) Prüfung 1  Oral exam Time tbd Dr. Philipp Kunde Dipl.-Math. Yes
Ma-M-VMMOA_2 Advanced Modern Methods of Optimization and Approximation 2 (WiSe 21/22) / M-VMMOA-V  Mathematical System and Control Theory (in English) Prüfung 1  Oral exam Time tbd Dr. Philipp Kunde Dipl.-Math. Yes
Ma-M-VMMOA_3 Advanced Modern Methods of Optimization and Approximation 3 (WiSe 21/22) / M-VMMOA-V  Mathematical System and Control Theory (in English) Prüfung 1  Oral exam Time tbd Dr. Philipp Kunde Dipl.-Math. Yes
Ma-M-VMMOA_4 Advanced Modern Methods of Optimization and Approximation 4 (WiSe 21/22) / M-VMMOA-V  Mathematical System and Control Theory (in English) Prüfung 1  Oral exam Time tbd Dr. Philipp Kunde Dipl.-Math. Yes
Class session overview
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Instructors
Dr. Philipp Kunde Dipl.-Math.