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Control Systems I
Last Updated: 2026-02-05 16:02:10
Abstract
Analysis 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.
Objective
Identify 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.
Content
Modeling 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.
Resources
Lecture Notes
Lecture slides and additional material will be posted online.
Literature
There 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
Learning Materials (Links)
- Main link
- Control Systems I Website
General Information
- Language
- English
- Levels
- BSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- written 135 minutes
- Aids
- Kein Taschenrechner. Zusammenfassung im Umfang von maximal 20 A4 Blättern (total 40 Seiten A4).
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture |
Control 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 h weekly |
| exercise |
Control 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 h weekly |