Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-82-15-K-7

Nonlinear Control Theory (4V, 9.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
4 V Lecture 9.0 CP 56 h 214 h
(4V) 9.0 CP 56 h 214 h

Basedata

SWS 4V
CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-TEMA] Industrial Mathematics
Additional informations
Livecycle-State [NORM] Active

Contents

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.

Literature

  • 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.

Materials

Further literature will be announced in the lecture.

References to Course [MAT-82-15-K-7]

Module Name Context
[MAT-82-15-M-7] Nonlinear Control Theory P: Obligatory 4V, 9.0 LP