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227-0103-00L 6 Credits BSC , MSC D-ITET , D-MATH , D-INFK , D-PHYS

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Control Systems

Lecturers & Examiners: Prof. Dr. Florian Dörfler

VVZ CR 2.4

Last Updated: 2026-06-01 11:30:53

Abstract

Study of concepts and methods for the mathematical description and analysis of dynamical systems. The concept of feedback. Design of control systems for single input - single output and multivariable systems.

Objective

Content

Process automation, concept of control. Modelling of dynamical systems - examples, state space description, linearisation, analytical/numerical solution. Laplace transform, system response for first and second order systems - effect of additional poles and zeros. Closed-loop control - idea of feedback. PID control, Ziegler - Nichols tuning. Stability, Routh-Hurwitz criterion, root locus, frequency response, Bode diagram, Bode gain/phase relationship, controller design via "loop shaping", Nyquist criterion. Feedforward compensation, cascade control. Multivariable systems (transfer matrix, state space representation), multi-loop control, problem of coupling, Relative Gain Array, decoupling, sensitivity to model uncertainty. State space representation (modal description, controllability, control canonical form, observer canonical form), state feedback, pole placement - choice of poles. Observer, observability, duality, separation principle. LQ Regulator, optimal state estimation.

Resources

Literature

K. J. Aström & R. Murray. Feedback Systems: An Introduction for Scientists and Engineers. Princeton University Press, 2010. R. C. Dorf and R. H. Bishop. Modern Control Systems. Prentice Hall, New Jersey, 2007. G. F. Franklin, J. D. Powell, and A. Emami-Naeini. Feedback Control of Dynamic Systems. Addison-Wesley, 2010. J. Lunze. Regelungstechnik 1. Springer, Berlin, 2014. J. Lunze. Regelungstechnik 2. Springer, Berlin, 2014.

Learning Materials (Links)

Main link
Information

General Information

Language: English
Levels: BSC , MSC
Frequency: Yearly recurring

Examination

Type: session examination
Mode: written 180 minutes
Aids: A previously released formulary will be handed out together with the exam. No further aids are allowed.

Course Components

Type	Title	Time & Place	Hours
lecture	Control Systems	Mon 10:15-12:00 (NO C 60)	2 h weekly
exercise	Control Systems	Tue 10:15-12:00 (CHN C 14)	2 h weekly

Offered In

Rechnergestützte Wissenschaften Bachelor
- Vertiefungsgebiete
  - Systems and Control
Elektrotechnik und Informationstechnologie Bachelor
- 5. Semester: Kernfächer des 3. Jahres (Kurswahl kann frei zusammengestellt werden, eine Liste mit detaillierten Empfehlungen findet sich unter )
  - Vertiefung: Kommunikation, Regelung und Signalverarbeitung (Diese Kernfächer werden insbesondere für den Bereich "Kommunikation, Regelung und Signalverarbeitung" empfohlen, aber die Studierenden können Kernfächer aus allen Bereichen frei wählen.)
  - Vertiefung: Elektrische Energietechnik (Diese Kernfächer werden insbesondere für den Bereich "Elektrische Energietechnik" empfohlen, aber die Studierenden können Kernfächer aus allen Bereichen frei wählen.)
Rechnergestützte Wissenschaften Master
- Vertiefungsgebiete
  - Systems and Control
Elektrotechnik und Informationstechnologie Master
- 01 - Fächer der Vertiefungen
  - Vertiefungen (alle): Wahlfächer (This is only a short selection. Other courses from the ETH course catalogue may be chosen in agreement with your tutor. As an alternative to the elective courses, students may do a second semester project or an internship in industry. Please consult your tutor.)
  - Vertiefung: Computers and Networks (The core courses and specialisation courses below are a selection for students who wish to specialise in the area of "Computers and Networks", see . The individual study plan is subject to the tutor's approval.)
    - Vertiefungsfächer (These specialisation courses are particularly recommended for the area of "Computers and Networks", but you are free to choose courses from any other field in agreement with your tutor. Semester / Research Projects are not allowed in this category. A minimum of 40 credits must be obtained from specialisation courses during the Master's Programme.)
  - Vertiefung: Systems and Control (The core courses and specialisation courses below are a selection for students who wish to specialise in the area of "Systems and Control", see . The individual study plan is subject to the tutor's approval.)
    - Kernfächer (These core courses are particularly recommended for the field of "Systems and Control". You may choose core courses form other fields in agreement with your tutor. A minimum of 24 credits must be obtained from core courses during the MSc EEIT.)
      - Foundation Core Courses (Fundamentals at bachelor level, for master students who need to strengthen or refresh their background in the area.)
  - Vertiefung: Communication (The core courses and specialisation courses below are a selection for students who wish to specialise in the area of "Communication", see . The individual study plan is subject to the tutor's approval.)
    - Vertiefungsfächer (These specialisation courses are particularly recommended for the area of "Communication", but you are free to choose courses from any other field in agreement with your tutor. Semester / Research Projects are not allowed in this category. A minimum of 40 credits must be obtained from specialisation courses during the Master's Programme.)
  - Vertiefung: Biomedical Engineering (The core courses and specialisation courses below are a selection for students who wish to specialise in the area of "Biomedical Engineering", see . The individual study plan is subject to the tutor's approval.)
    - Kernfächer (These core courses are particularly recommended for the field of "Biomedical Engineering" You may choose core courses form other fields in agreement with your tutor. A minimum of 24 credits must be obtained from core courses during the MSc EEIT.)
Data Science Master
- Master-Studium (Studienreglement 2023)
  - Wahlfächer
    - Interdisziplinäre Wahlfächer
Quantum Engineering Master
- Kernfächer (A minimum of 24 credits must be obtained from core courses during the MSc QE, course selection is subject to the tutor's agreement.)
  - Engineering Core Courses (These core courses target students with a physics background and all those who need additional engineering foundations.)