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Instructors: Prof. Dr. Ansgar Trächtler
Event type:
Lecture
Org-unit: Maschinenbau
Displayed in timetable as:
EmMR
Hours per week:
2
Language of instruction:
German
Min. | Max. participants:
- | -
Requirements and recommendations:
Control Engineering, Advanced Control Engineering, Mathematics
Aim of the event:
This lecture is a follow-up to the lectures on Control Engineering and Advanced Control Engineering. The Students shall become familiar with selected mathematical methods of control theory and their application to analysis and design of control systems.
Target group:
To be complemented.
Contents:
- Pseudoinverse matrix and Penrose-theorem
- singular value decomposition
- solutiuon of ill-posed inverse problems
- regularization techniques
- application to parameter identification
- basics of functional analysis
- H_2 and H_infinity control, robustness
Contact person:
Trächtler
Literature:
Hansen, P.C.: Regularization Tools - a Matlab package for analysis and solution of discrete ill-posed problems, 2001.
Heuser, H.; Wolf, H.: Algebra, Funktionalanalysis und Codierung. B.G. Teubner, 1986.
extending literature:
Heuser, H.: Funktionalanalysis. 4. Aufl., B. G. Teubner, 2006.
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