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Control Systems
Regelsysteme
Last Updated: 2026-02-05 14:59:59
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
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.
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
Literature
G.F. Franklin, J.D. Powell, and A. Emami-Naeini; Feedback Control of Dynamical Systems, 4th edition, Prentice Hall, 2002. MATLAB is used extensively for system analysis and simulation.
General Information
- Language
- German
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- written 180 minutes
- Aids
- Sofern nichts anderes angegeben wird, ist die Benützung sämtlicher Unterlagen erlaubt.
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture with exercise | Regelsysteme |
|
4 h weekly |