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Nonlinear Systems and Control
Last Updated: 2026-06-01 11:33:18
Abstract
Introduction to the area of nonlinear systems and their control. Familiarization with tools for analysis of nonlinear systems. Discussion of the various nonlinear controller design methods and their applicability to real life problems.
Objective
On completion of the course, students understand the difference between linear and nonlinear systems, know the mathematical techniques for analysing these systems, and have learnt various methods for designing controllers accounting for their characteristics. Course puts the student in the position to deploy nonlinear control techniques in real applications. Theory and exercises are combined for better understanding of the virtues and drawbacks present in the different methods.
Content
Virtually all practical control problems are of nonlinear nature. In some cases application of linear control methods leads to satisfactory controller performance. In many other cases however, only application of nonlinear analysis and control synthesis methods will guarantee achievement of the desired objectives. During the past decades mature nonlinear controller design methods have been developed and have proven themselves in applications. After an introduction of the basic methods for analysing nonlinear systems, these methods will be introduced together with a critical discussion of their pros and cons. Along the course the students will be familiarized with the basic concepts of nonlinear control theory. This course is designed as an introduction to the nonlinear control field and thus no prior knowledge of this area is required. The course builds, however, on a good knowledge of the basic concepts of linear control and mathematical analysis.
Resources
Lecture Notes
An english manuscript will be made available on the course homepage during the course.
Literature
H.K. Khalil: Nonlinear Systems, Prentice Hall, 2001.
Learning Materials (Links)
- Main link
- Information
- Literature
- Provided in course link
General Information
- Language
- English
- Levels
- DR , MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- written 120 minutes
- Aids
- Keine
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Nonlinear Systems and Control |
|
3 h weekly |
| exercise | Nonlinear Systems and Control |
|
1 h weekly |
Offered In
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Anwendungsgebiet (Nur für das Master-Diplom in Angewandter Mathematik erforderlich und anrechenbar. In der Kategorie Anwendungsgebiet für den Master in Angewandter Mathematik muss eines der zur Auswahl stehenden Anwendungsgebiete gewählt werden. Im gewählten Anwendungsgebiet müssen mindestens 8 KP erworben werden. Kreditpunkte aus anderen Anwendungsgebieten sind nicht für weitere Anwendungsgebiete anrechenbar.)
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Vertiefung: Energy and Power Electronics (The core courses and specialization courses below are a selection for students who wish to specialize in the area of "Energy and Power Electronics", see . The individual study plan is subject to the tutor's approval.)
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Vertiefungsfächer (These specialization courses are particularly recommended for the area of "Energy and Power Electronics", but you are free to choose courses from any other field in agreement with your tutor. Semester / Research Projects are not allowed in this category. A minimum of 40 credits must be obtained from specialization courses during the Master's Programme.)
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Vertiefung: Systems and Control (The core courses and specialization courses below are a selection for students who wish to specialize in the area of "Systems and Control", see . The individual study plan is subject to the tutor's approval.)
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Kernfächer (These core courses are particularly recommended for the field of "Systems and Control". You may choose core courses form other fields in agreement with your tutor. A minimum of 24 credits must be obtained from core courses during the MSc EEIT.)
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Fächer der Vertiefung (A total of 42 CP must be achieved form courses during the Master Program. The individual study plan is subject to the tutor's approval. Semester / Research Projects are not allowed in this category.)
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Empfohlene Fächer (Diese Fächer sind eine Empfehlung. Sie können Fächer aus allen Vertiefungsrichtungen wählen. Sprechen Sie mit Ihrem Tutor.)
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Kernfächer (Diese Fächer sind besonders Empfohlen, um sich in "Systems and Control" zu vertiefen.)
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Doktorat Informationstechnologie und Elektrotechnik (A minimum of 12 ECTS credit points must be obtained during doctoral studies (also see sub-categories for details) More Information at )
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Vertiefung Fachwissen (The courses on offer below are but a small selection out of a much larger available number of courses. Please discuss your course selection with your PhD supervisor.)
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Kernfächer (A minimum of 24 credits must be obtained from core courses during the MSc QE, course selection is subject to the tutor's agreement.)
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Engineering Core Courses (These core courses target students with a physics background and all those who need additional engineering foundations.)
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Fachspezifische Vertiefung (Es müssen mindestens 20 KP aus den Deep Track Lerneinheiten absolviert werden. Überzählige KP können für Wahlfächer angerechnet werden.)
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Vertiefungsfächer Robotics (Diese LE's können sowohl als Vertiefungsfach als auch als Wahlfach angerechnet werden.)
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