Multivariable Control Systems (MCS)

  • Type: Lecture + Exercise
  • Chair: IRS-RUS
  • Semester: WT 25/26
  • Time/Place:

    Monday, 14:00-15:30, Engelbert-Arnold-Hörsaal (Geb. 11.10) 
    Friday,  09:45-11:15, Engelbert-Arnold-Hörsaal (Geb. 11.10) 
  • Start: Wednesday, 05.11.2025 (You can find the link to the Zoom-Meeting below)
  • Lecturer:

    Prof. h. c. Dr.-Ing. Mathias Kluwe 
    M. Sc. Lorenz Fehn
  • SWS: 4
  • ECTS: 6
  • Lv-No.: 2303193
  • Exam: Written Exam
  • Information:

    This lecture is held in English. 

Lecturers

Prof. h. c. Dr.-Ing. Mathias Kluwe

Lecturer

M. Sc. Lorenz Fehn

Support and Tutorial

Overview

News

The first lecture will take place on Monday, October 27, 2025, 2:00 pm - 3:30 pm (Engelbert-Arnold-Hörsaal (11.10))

ILIAS-Link: ilias.studium.kit.edu/goto.php/crs/2781513. The password will be announced in the first lecture. 
Contact If you have any questions concerning the lecture or the exercise, please contact Lorenz Fehn.
Recommendations Systemdynamik und Regelungstechnik, Signals and Systems, Advanced Mathematics I-III 
 

Teaching Content

 The module is designed to provide students with basic knowledge and skills to analyze linear multivariable dynamic systems (described both in continuous and discrete time) and to design respective controllers. Furthermore, the students are enabled to handle poor sensor information by state estimation methods or to eliminate disturbances and uncertainties, for example by dynamic state feedback. 
Literature
Course Material On Ilias all course material (including lecture slides, exercise, formulary, old exams and semester schedule) can be downloaded
 

Workload

Presence in Lecture and Exercise: 60 h
Preperation and revision of the course content: 120 h

Goals

The Students

  • are able to describe linear multivariable Systems in time and frequency domain with as well time continuous as time discrete models.
  • are familiar with the state space representation and its transformations in canonical forms.
  • are able to analyze multivariable system with respect to stability, trajectory plots in state space, controllability, observability and zeros and poles.
  • master the control of linear multivariable systems in frequency domain by series decoupling with frequency control.
  • are familiar with the basic control structures in time domain (pole placement with preliminary filter).
  • are able to use different methods for direct pole placement in state space via state feedback like the Ackermann formula, modal synthesis and the complete modal synthesis.
  • are able to design time discrete controllers, in particular dead-beat control.
  • are familiar with the problem of determining non measurable state variables using complete and reduced state observers.
  • are able to solve a generalized estimation problem in state space including noise by the design of Kalman filters.
  • can apply state feedback methods for the elimination of permanent deterministic disturbances like disturbance feedforward control, use of disturbance models or PI-State space controllers.
  • can apply complete modal synthesis to design output feedback controllers in state space.
  • are able to extend the state feedback control with dynamical elements in order to create dynamical controllers.
Exam

WS25/26 on Wednesday, 25th March 2026 from 10:00 - 12:00

Results & Review

The results will be published on the Campus System, and the review date will be announced via e-mail. 

  
Evaluation