P-Glied¶

Proportional-Glied (P-Glied)¶

Für das Proportional–Glied lautet die (Diffferenzial)gleichung

\[y(t)=V_p u(t)\]

und die dazugehörige Übertragungsfunktion ergibt sich zu

\[G(s) = V_p .\]

import control
import numpy as np
import matplotlib.pyplot as plt
plt.style.use('ggplot')

s = control.TransferFunction.s

Vp = 10
Gs = control.minreal(Vp*s/s)
# G = control.TransferFunction([Vp],[1])
Gs

1 states have been removed from the model

\[\frac{10}{1}\]

def check_proper_tf(Gs):
    """check if transferfunction is proper"""
    return len(Gs.num[0][0]) <= len(Gs.den[0][0])
    
check_proper_tf(Gs)

True

(tout, yout)  = control.step_response(Gs)
plt.plot(tout,yout)
plt.title("Sprung Antwort")
plt.ylabel("y")
plt.xlabel("t (s)")

Text(0.5, 0, 't (s)')

fig2 = plt.figure()
(mag, phase_rad, w) = control.bode_plot(Gs)

# does not work
# res_nyquist = control.nyquist_plot(Gs)

poles, zeros = control.pzmap(Gs, plot=True)