Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-82-11-K-7

Numerical Methods in 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

Numerical methods dealing with problems of the linear control theory will be covered, especially:
  • general and structured eigenvalue problems, normal forms,
  • matrix equations (e.g. Lyapunov and Riccati) and their numerical solutions,
  • general theory of huge systems of equations,
  • reduction of model (especially based on singular value decompositions and Krylov subspace method).

Literature

  • A.C. Antoulas: Approximation of Large-Scale Dynamical Systems,
  • P.H. Petkov, N.D. Christov, M.M. Konstantinov: Computational Methods for Linear Control Systems,
  • B. Datta: Numerical Methods for Linear Control Systems,
  • A. Linnemann: Numerische Methoden für lineare Regelungssysteme,
  • K. Zhou, J.C. Doyle, K. Glover: Robust and Optimal Control.

Materials

Further literature will be announced in the lecture.

References to Course [MAT-82-11-K-7]

Module Name Context
[MAT-82-11-M-7] Numerical Methods in Control Theory P: Obligatory 4V, 9.0 LP