The spring semester 2021 will certainly take place online until Easter. Exceptions: Courses that can only be carried out with on-site presence. Please note the information provided by the lecturers.

151-0591-00L  Control Systems I

SemesterAutumn Semester 2016
LecturersE. Frazzoli
Periodicityyearly recurring course
Language of instructionEnglish


AbstractAnalysis and synthesis of linear 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.
ObjectiveIntroduction to main ideas of linear systems analysis and synthesis. Transient and steady-state behavior, system engineering (input/output, static/dynamic behavior, feedforward and feedback loops, etc.), introduction of most important tools (solution of linear ODE, Laplace transformation, Nyquisttheorem, etc.). Elementary controller synthesis methods.
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).
Lecture notesLino Guzzella: Analysis and Synthesis of Single-Input Single-Output Control Systems, 3rd Edition, 2011, vdf Hochschulverlag AG
Prerequisites / NoticeBasic knowledge of (complex) analysis and linear algebra