Control Engineering › Controlled Systems

Summary

P behaviour: block k_P with input x and output y — Verhalten = behaviour

\[ k_P = \frac{y}{x} = \text{constant} \]

Step at input x and step response at output y with final value k_P — Eingang = input · Ausgang = output

General control loop with block A — Allgemeiner Regelkreis = general control loop

\[ \begin{gathered} H_{\mathrm{FÜ}} = \frac{A}{1 + A} \\[6pt] \frac{e}{w} = \frac{1}{1 + A} \\[6pt] \text{with } w = 1 \text{ (step): } e = \frac{1}{1 + A} \\[6pt] \text{Goal: } y = w \text{ and } e = 0 \\[6pt] \text{with } A = k_P \\[6pt] H_{\mathrm{FÜ}} = \frac{k_P}{1 + k_P} < 1 \end{gathered} \]