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2026-06-14 12:48:42 -05:00
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import scipy.signal as sig
import matplotlib.pyplot as plt
import numpy as np
# simple first order step response simulation
# www.halvorsen.blog/documents/programming/python/resources/powerpoints/State Space Models with Python.pdf
# simulation Parameters
x0 = [0, 0]
start = 0
stop = 30
step = 1
t = np.arange(start,stop,step)
K = 3
T = 4
# state-space Model
A = [[-1/T, 0], [0, 0]]
B = [[K/T], [0]]
C = [[1, 0]]
D = 0
sys = sig.StateSpace(A, B, C, D)
# step Response
t, y = sig.step(sys, x0, t)
# plotting
plt.plot(t, y)
plt.title("Step Response")
plt.xlabel("t")
plt.ylabel("y")
plt.grid()
plt.show()