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

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Control Systems

Regelsysteme

Lecturers & Examiners: Prof. em. Dr. Manfred Morari

VVZ CR 2.4

Last Updated: 2026-02-05 15:24:15

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.

Resources

Lecture Notes

Complete scripts and exercise documentation will be sold in the first lecture for CHF 30.

Literature

G.F. Franklin, J.D. Powell, A. Emami-Naeini. Feedback Control of Dynamic Systems. 5th edition, Prentice Hall, 2006, Reading, ISBN 0-13-149930-0. Paperback student's edition CHF 136 (with students reduction ca. CHF 122), valid 2006. Books are scheduled to be sold in the second semester week.

General Information

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

Examination

Type: session examination
Mode: written 180 minutes
Aids: Wissenschaftliche und einfache graphische Taschenrechner (wie TI 89, TI 92, HP 48, HP 49 u.ä.). KEINE Taschencomputer mit Standard- Betriebssystem wie PDAs, Palmtops, Handhelds, Laptops u.ä.

Course Components

Type	Title	Time & Place	Hours
lecture with exercise	Regelsysteme	Mon 10:15-12:00 (ETF E 1) Tue 08:15-10:00 (ETF E 1)	4 h weekly

Offered In

Computational Science and Engineering Bachelor
- Fields of Specialization
  - Control Theory
Electrical Engineering and Information Technology Bachelor
- 5. Semester, Majors (Core Courses)
  - Communication
    - Electives (These courses are recommended, but you are free to choose courses from any other major.)
  - Computer and Networking
    - Electives (These courses are recommended, but you are free to choose courses from any other major.)
  - Electrical Power Systems and Mechatronics
    - Compulsory Courses
Computational Science and Engineering Master
- Fields of Specialization
  - Control Theory
Electrical Engineering and Information Technology Master
- Majors
  - Communication (A total of 42 CP must be achieved during the Master Program. The individual study plan is subject to the tutor's approval.)
    - Recommended Subjects (These courses are recommended, but you are free to choose courses from any other special field. Please consult your tutor.)
  - Computer and Networking (A total of 42 CP must be achieved during the Master Program. The individual study plan is subject to the tutor's approval.)
    - Recommended Subjects (These courses are recommended, but you are free to choose courses from any other special field. Please consult your tutor.)