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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
Invert z -transforming Equation 4.579,
(y
k
)
impulse response
¼ h
k
¼ z
1
{H(z)} (4:580)
Equation 4.580 tells us the impulse response of an LTI discrete-time system is equal to the inverse
z-transform of the z-domain transfer function of the system. Henceforth, the impulse response
sequence will be denoted h
k
, k ¼0, 1, 2,. . . . This most important property of discrete-time systems
is illustrated in Figure 4.63.
The z-domain transfer function of the rst-order system in Example 4.29 is
H(z) ¼
Y(z)
U(z)
¼
bz
z a
(4:581)
0
0.2
0.4
0.6
0.8
h
k
0 5 10 15 20
0
0.5
1
k
y
k
α = 0.3 (fast)
α = 0.7 (moderate)
α = 0.9 (slow)
α = 0.3 (fast)
α = 0.7 (moderate)
α = 0.9 (slow)
Unit step response ...
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Publisher Resources

ISBN: 9781439836736