Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Module MAT-81-27-M-7

Control of Mechanical Multibody Systems (M, 4.5 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-81-27-M-7 Control of Mechanical Multibody Systems 4.5 CP (135 h)


CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Module Manager
+ further Lecturers of the department Mathematics
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.
2V MAT-81-27-K-7
Control of Mechanical Multibody Systems
P 28 h 107 h - - PL1 4.5 irreg.
  • About [MAT-81-27-K-7]: Title: "Control of Mechanical Multibody Systems"; Presence-Time: 28 h; Self-Study: 107 h

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: irregular (by arrangement)
  • Examination number: 86183 ("Control of Mechanical Multibody Systems")

Evaluation of grades

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


  • multibody systems in terms of system dynamics: input-output system,
  • mathematical description by means of an input-output operator, analysis in functional analytical context,
  • mathematical formulation of control objectives,
  • concepts from classical control engineering,
  • optimal control of multibody systems,
  • flatness based control (optional),
  • model predictive control (optional).

Competencies / intended learning achievements

Upon successful completion of this module, the students understand how a mechanical multibody system with external inputs and observable outputs can be described by an operator with mathematical accuracy. They know how (modeling) relevant statements can be derived by means of a functional analytical study of this operator. 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 comprehend and explain them.

They have developed a skilled, precise and independent handling of the terms, propositions and techniques taught in the lecture.


  • E. Eich-Soellner, C. Führer: Numerical Methods in Multibody Dynamics,
  • E. Sontag: Mathematical Control Theory.

References to Module / Module Number [MAT-81-27-M-7]

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