Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Module MAT-80-12A-M-4

Introduction to Systems and Control Theory (M, 4.5 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-80-12A-M-4 Introduction to Systems and Control Theory 4.5 CP (135 h)

Basedata

CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. in SuSe
Level [4] Bachelor (Specialization)
Language [EN] English
Module Manager
Lecturers
Area of study [MAT-TEMA] Industrial Mathematics
Reference course of study [MAT-88.105-SG] M.Sc. Mathematics
Livecycle-State [NORM] Active

Notice

This module can be combined with the module [MAT-80-17-M-6] to the module [MAT-80-18-M-4].

Without a proof of successful participation in the exercise classes, only 3 credit points will be awarded for the module.

Courses

Type/SWS Course Number Title Choice in
Module-Part
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
2V+1U MAT-80-12A-K-4
Introduction to Systems and Control Theory
P 42 h 93 h
U-Schein
- PL1 4.5 SuSe
  • About [MAT-80-12A-K-4]: Title: "Introduction to Systems and Control Theory"; Presence-Time: 42 h; Self-Study: 93 h
  • About [MAT-80-12A-K-4]: The study achievement "[U-Schein] proof of successful participation in the exercise classes (ungraded)" must be obtained.

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: each semester
  • Examination number: 84260 ("Introduction to Systems and Control Theory")

Evaluation of grades

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


Contents

Basic terms and ideas of Systems and Control Theory as well as their applications will be discussed. In particular, the following contents will be covered:
  • representation of time-discrete and continuous linear and non-linear dynamic systems,
  • stability of dynamic systems,
  • accessibility, controllability, observability,
  • feedback rule.

Competencies / intended learning achievements

Upon successful completion of this module, the students have studied and understand the basic concepts required for describing dynamic systems as well as mathematical techniques for the analysis of these systems and the design of control systems. Furthermore, they are familiar with the various possible applications resulting from the use of mathematical control theory. They understand the proofs presented in the lecture and they are able to comprehend and explain them.

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

Literature

  • E. Zerz: Introduction to Systems and Control Theory,
  • J.W. Polderman, J. Willems,: Introduction to Mathematical Systems Theory,
  • H.W. Knobloch, H. Kwakernaak, Lineare Kontrolltheorie,
  • D. Hinrichsen, A.J. Pritchard, Mathematical Systems Theory I,
  • E.D. Sontag, Mathematical Control Theory.

Registration

Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de).

Requirements for attendance of the module (informal)

Modules:

Courses

Requirements for attendance of the module (formal)

None

References to Module / Module Number [MAT-80-12A-M-4]

Course of Study Section Choice/Obligation
[INF-88.79-SG] M.Sc. Computer Science [Core Modules (non specialised)] Formal Fundamentals [WP] Compulsory Elective
[MAT-88.105-SG] M.Sc. Mathematics [Core Modules (non specialised)] Applied Mathematics [WP] Compulsory Elective
[MAT-88.706-SG] M.Sc. Mathematics International [Core Modules (non specialised)] Applied Mathematics [WP] Compulsory Elective
[MAT-88.118-SG] M.Sc. Industrial Mathematics [Core Modules (non specialised)] General Mathematics [WP] Compulsory Elective
[MAT-88.276-SG] M.Sc. Business Mathematics [Core Modules (non specialised)] General Mathematics [WP] Compulsory Elective