Systemtheorie und Regelungstechnik 1

The aim of the lecture is to teach the basics of systems theory and control engineering. We learn how to describe electrical, mechanical, optical, chemical or thermal processes in the form of dynamic systems uniformly, analyze the characteristics of these systems, and learn methods for their targeted modulation by sensor-actuator systems (controllers).

We'll start with the modeling of dynamic systems, consider the analytic solution of linear time-invariant differential equations, introduce the impulse and step response, analyze the step response of some commonly occurring systems, introduce the Laplace transform, learn different methods for the preparation of linear transfer functions, discuss stability of the closed loop and learn basic methods for the design of a linear controller for single-input single-output (SISO) systems. The course consists of three hours per week lecture and a SWS exercises.

Special notices

The exam will take place on 23.09.17 at 10:00 - 12:30 in building 101 in rooms 026 and 010/14.

Lecture schedule
The lecture will be held at the Technical Faculty of the University of Freiburg in Building 101, HS 00-036.

  • Mondays,  10:15-12:00
  • Thursdays, 08:15-10:00

Lecture slot modifications and cancellations

Since the course consists of 3 SWS, but is organized in a four-hours-lecture-per-week rythm, the following lecture slots are modified or cancelled:

  • Thursday April 24, 2017: in the second part of the lecture there is a MATLAB introduction.
  • Thursday May 11, 2017: in the second part of the lecture there is a MATLAB tutorial. Übung_1 / Lösung_1
  • Monday  June 19, 2017: no lecture, MATLAB tutorial. Übung 03 / Lösung_03
  • Thursday June 22, 2017: no lecture after the micro-exam
  • Thursday June 29, 2017: no lecture
  • Thursday  July 13, 2017: no lecture, there will be handed out a test exam with possibility of questions. Probeklausur.pdf
  • Thursday July 27, 2017: summary of the lecture and get-together afterwards!

Lecture notes
The lecture notes are available here:

Final exam
The final score is calculated at 100% of the final exam. The final exam is "closed-book", so there are no auxiliary utensils except pencils and blank paper allowed. It may, however, exactly one sheet of A4 paper be taken with two pages handwritten described as a formulary. The questions are partly multiple choice, as in the micro exams, some issues with text responses, as in the exercise sheets.

Admission to exam
Admission to the final exam will be obtained when the following criteria are met

  • Passing the Exercises:   Each exercise sheet is assessed by the acquired points in percent. In the 11 exercise sheets an average of at least 50% of the points must be achieved.
    Example: A student has acquired 3 times 90% and 8 times 35% of the points, thus the average is 50%. The exercise is passed by.
  • Passing the micro exams:  The micro exams are evaluated by the acquired points in percent. In the three best of four micro exams at least 50% of the points must be achieved on average.


There are four exercise groups, three every Tuesday 12:00-13:00:

  • Group 1: Room 101 SR 01 016, Patrick Caspari
  • Group 2: Room 101 SR 01 018, Alexander Petrov
  • Group 3: Room 101 SR 00 010, Peter Hofmeier

And one every Friday 12:00-13:00

  • Group 4: Room 101 SR 01 013, Fabien Jenne

You can hand in your solution of the current exercise sheet at the Monday lecture (BEFORE the lecture begins) or, if you want to hand it in before, you can throw it into the indicated box in the systems control and optimization laboratory (Lehrstuhl für Systemtheorie, Regelungstechnik und Optimierung) in building 102, 1st floor, Anbau.



Sheet Deadline Files
Blatt1_SR1.pdf 02.05.2017     12:00  
Blatt2_SR1.pdf 08.05.2017     10:00  
Blatt3_SR1.pdf 15.05.2017     10:00
Blatt4_SR1.pdf 22.05.2017     10:00  
Blatt5_SR1.pdf 28.05.2017     10:00  
Blatt6_SR1.pdf 12.06.2017     10:00  
Blatt7_SR1.pdf 18.06.2017     10:00  
Blatt8_SR1.pdf 26.06.2017     10:00  
Blatt9_SR1.pdf 03.07.2017     10:00  
Blatt10_SR1.pdf 09.07.2017     10:00
Blatt11_SR1.pdf 17.07.2017     10:00  
Blatt12_SR1.pdf 25.07.2017     12:00  




Micro exam Date PDF of exam PDF with solutions
1 Thursday: 18.05.2017 mikroklausur1.pdf mikroklausur1_lsg.pdf
2 Thursday: 22.06.2017 mikroklausur2.pdf mikroklausur2_lsg.pdf
3 Thursday: 06.07.2017 mikroklausur3.pdf mikroklausur3_lsg.pdf
4 Thursday: 20.07.2017 mikroklausur4.pdf mikroklausur4_lsg.pdf


Micro exams of recent years can be found here:


mikroklausur1_.pdf mikroklausur1_lsg.pdf
mikroklausur2_.pdf mikroklausur2_lsg.pdf
mikroklausur3_.pdf mikroklausur3_lsg.pdf
mikroklausur4_.pdf mikroklausur4_lsg.pdf




You will need MATLAB for the exercises. Details on how to obtain a free MATLAB license and how to install the program can be found here:

For the lecture and exercises you will need only the "Control System Toolbox".

You can find a basic tutorial for Matlab here.

Lecture recordings

The Systems and Control lecture was recorded in SS2013:


No Date Part 1 Part 2
1 07/06/2013 Vorlesung1_1 Vorlesung1_2
2 14/06/2013 Vorlesung2_1 Vorlesung2_2
3 21/06/2013 Vorlesung3_1 Vorlesung3_2
4 06/28/2013 Vorlesung4_1 Vorlesung4_2
5 05/07/2013 Vorlesung5_1 Vorlesung5_2
6 29/07/2013 Vorlesung6_1 Vorlesung6_2
7 30.07.2013 Vorlesung7_1 Vorlesung7_2
8 31/07/2013 Vorlesung8_1 Vorlesung8_2
9 01/08/2013 Vorlesung9_1 Vorlesung9_2
10 02/08/2013 Vorlesung10  


Exam preparation

On July 13th, a test exam is handed out in the lecture. It is based on the exam from WS 14/15.

Old exams for preparing the current exam are available here: