151-0591-00L  Control Systems I

SemesterAutumn Semester 2022
LecturersE. Frazzoli
Periodicityyearly recurring course
Language of instructionEnglish
CommentNote: The previous course title in German until HS21 "Regelungstechnik I".


151-0591-00 VControl Systems I
The lectures will start in the 2nd week of the Semester.
The Wednesday lectures are held in ML D 28 with video transmission to ML E 12.
2 hrs
Wed16:15-18:00ML D 28 »
16:15-18:00ML E 12 »
E. Frazzoli
151-0591-00 UControl Systems I
Groups are selected in myStudies.
The exercises will start in the 2nd week of the Semester: Fri 10-12 or Fri 12-14

Zusätzlich wird das Study Center angeboten: Mittwochs 18-20 ab der 3. Semesterwoche im HG F 3 wo die Möglichkeit des betreuten Lernens angeboten wird. Im Study Center können Studierende Vorlesungsstoff vor- oder nachbereiten und Übungen lösen.
2 hrs
Fri10:15-12:00CAB G 59 »
10:15-12:00CHN D 29 »
10:15-12:00CHN D 48 »
10:15-12:00CHN F 46 »
10:15-12:00CHN G 46 »
10:15-12:00HG D 5.1 »
10:15-12:00HG D 5.3 »
10:15-12:00HG F 26.5 »
10:15-12:00HG G 26.5 »
12:15-14:00CAB G 56 »
12:15-14:00CHN D 29 »
12:15-14:00CHN D 44 »
12:15-14:00HG D 3.1 »
12:15-14:00HG D 5.1 »
12:15-14:00HG D 5.3 »
E. Frazzoli

Catalogue data

AbstractAnalysis and controller synthesis for linear time invariant systems with one input and one output signal (SISO); transition matrix; stability; controllability; observability; Laplace transform; transfer functions; transient and steady state responses. PID control; dynamic compensators; Nyquist theorem.
ObjectiveIdentify the role and importance of control systems in everyday life. Obtain models of single-input single-output (SISO) linear time invariant (LTI) dynamical systems. Linearization of nonlinear models. Interpret stability, observability and controllability of linear systems. Describe and associate building blocks of linear systems in time and frequency domain with equations and graphical representations (Bode plot, Nyquist plot, root locus). Design feedback controllers to meet stability and performance requirements for SISO LTI systems. Explain differences between expected and actual control results. Notions of robustness and other nuisances such as discrete time implementation.
ContentModeling and linearization of dynamic systems with single input and output signals. State-space description. Analysis (stability, reachability, observability, etc.) of open-loop systems. Laplace transformation, systems analysis in the frequency domain. Transfer functions and analysis of the influence of its poles and zeros on the system's dynamic behavior. Frequency response. Analysis of closed-loop systems using the Nyquist criterion. Formulation of performance constraints. Specification of closed-loop system behavior. Synthesis of elementary closed-loop control systems (PID, lead/lag compensation, loop shaping). Discrete time state space representation and stability analysis.
Lecture notesLecture slides and additional material will be posted online.
LiteratureThere is no required textbook.

A nice introductory book on feedback control, available online for free, is :

Feedback Systems: An Introduction for Scientists and Engineers
Karl J. Astrom and Richard M. Murray

The book can be downloaded at https://fbswiki.org/wiki/index.php/Main_Page
Prerequisites / NoticeBasic knowledge of (complex) analysis and linear algebra.
Subject-specific CompetenciesConcepts and Theoriesassessed
Techniques and Technologiesfostered
Method-specific CompetenciesAnalytical Competenciesassessed
Media and Digital Technologiesfostered
Project Managementfostered
Social CompetenciesCommunicationfostered
Cooperation and Teamworkfostered
Customer Orientationfostered
Leadership and Responsibilityfostered
Self-presentation and Social Influence fostered
Sensitivity to Diversityfostered
Personal CompetenciesAdaptability and Flexibilityfostered
Creative Thinkingfostered
Critical Thinkingfostered
Integrity and Work Ethicsfostered
Self-awareness and Self-reflection fostered
Self-direction and Self-management fostered

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
In examination block forBachelor's Degree Programme in Mechanical Engineering 2010; Version 24.02.2022 (Examination Block 1)
Bachelor's Degree Programme in Mechanical Engineering 2022 (Examination Block 1)
ECTS credits4 credits
ExaminersE. Frazzoli
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 135 minutes
Additional information on mode of examinationZusätzlich 15 Minuten Zeit zum Durchlesen, ohne etwas zu schreiben oder Notizen zu machen.
Written aidsKein Taschenrechner. Zusammenfassung im Umfang von maximal 20 A4 Blättern (total 40 Seiten A4).
If the course unit is part of an examination block, the credits are allocated for the successful completion of the whole block.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

Main linkControl Systems I Website
Only public learning materials are listed.


151-0591-00 UControl Systems I
Fri12:15-14:00HG D 5.1 »
Fri10:15-12:00CAB G 59 »
Fri10:15-12:00CHN F 46 »
Fri10:15-12:00CHN D 29 »
Fri10:15-12:00CHN G 46 »
Fri10:15-12:00HG D 5.1 »
Fri10:15-12:00HG D 5.3 »
Fri10:15-12:00HG G 26.5 »
Fri10:15-12:00HG F 26.5 »
Fri12:15-14:00CHN D 44 »
Fri12:15-14:00CHN D 29 »
Fri12:15-14:00CAB G 56 »
Fri12:15-14:00HG D 3.1 »
Fri12:15-14:00HG D 5.3 »
Fri10:15-12:00CHN D 48 »


There are no additional restrictions for the registration.

Offered in

Computer Science BachelorMinor CoursesWInformation
Mechanical Engineering BachelorExamination Block 1OInformation