Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Module MAT-82-15-M-7

Nonlinear Control Theory (M, 9.0 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-82-15-M-7 Nonlinear Control Theory 9.0 CP (270 h)


CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Module Manager
Area of study [MAT-TEMA] Industrial Mathematics
Reference course of study [MAT-88.105-SG] M.Sc. Mathematics
Livecycle-State [NORM] Active


Type/SWS Course Number Title Choice in
Presence-Time /
SL SL is
required for exa.
PL CP Sem.
4V MAT-82-15-K-7
Nonlinear Control Theory
P 56 h 214 h - - PL1 9.0 irreg.
  • About [MAT-82-15-K-7]: Title: "Nonlinear Control Theory"; Presence-Time: 56 h; Self-Study: 214 h

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: each semester
  • Examination number: 86318 ("Nonlinear Control Theory")

Evaluation of grades

The grade of the module examination is also the module grade.


Methods of control for nonlinear systems, especially:
  • stability of nonlinear systems, Lyapunov theory, comparison functions, input-to-state stability (ISS),
  • linearization and normal forms of nonlinear systems,
  • various control concepts, e.g. backstepping, predictive control, sliding mode control, flatness-basedcontrol,
  • nonlinear observers.

Competencies / intended learning achievements

Upon successful completion of this module, the students are familiar with and understand the fundamental concepts of nonlinear control theory. They are able to name the essential propositions of the lecture as well as to classify and to explain the connections. They understand the proofs presented in the lecture and are able to reproduce and explain them. In particular, they can critically assess, what conditions are necessary for the validity of the statements.

By completing specific exercises, the students have developed a skilled, precise and independent handling of the terms, propositions and techniques taught in the lecture. They have learnt how to apply these techniques to new problems, analyze them and develop solution strategies.


  • J. Adamy: Nichtlineare Regelung,
  • A. Isidori: Nonlinear Control Systems I and II,
  • H.K. Khalil: Nonlinear Systems,
  • J. Levine: Analysis and control of nonlinear systems. A flatness-based approach.
  • S. Sastry: Nonlinear Systems.

References to Module / Module Number [MAT-82-15-M-7]

Module-Pool Name
[MAT-82-MPOOL-7] Specialisation Systems and Control Theory (M.Sc.)
[MAT-8x-MPOOL-7] Specialisation Modelling and Scientific Computing (M.Sc.)
[MAT-AM-MPOOL-7] Applied Mathematics (Advanced Modules M.Sc.)