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Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
book

Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition

by Harold Klee, Randal Allen
April 2016
Intermediate to advanced content levelIntermediate to advanced
815 pages
31h 29m
English
CRC Press
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
4.81 The transfer function for the circuit in Figure E4.81 is (see Equation 4.183)
R = 0.2 Ω
R = 0.2 Ω
C
2
=2.5×10
–3
F
C
1
=0.1×10
–3
F
e
i
v
0
v
FIGURE E4.81
V
0
(s)
E
i
(s)
¼
R
2
C
1
C
2
s
2
þ 2RC
2
s þ 1
R
2
C
1
C
2
s
2
þ R(C
1
þ 2C
2
)s þ 1
(a) Convert the system transfer function to a state variable model with output v
0
.
(b) Use the state variable model to nd and plot the impulse response.
(c) Find the unit step response of the circuit by inverse Laplace transforming V
0
(s).
(d) Repeat part (c) using the control system toolbox to nd the unit step response. Compare
the results from parts (c) and (d).
(e) Approximate the continuous-time transfer function with a discrete-time z-domain transfer ...
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Publisher Resources

ISBN: 9781439836736