MATLAB CONTROL SYSTEM TOOLBOX 9 Spécifications Page 39

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Vue de la page 38
Creating LTI Models
2-21
creates the same TF model as
H = tf([1 2], [1 0.6 0.9], 0.1);
Similarly,
z = zpk('z', 0.1);
H = [z/(z+0.1)/(z+0.2) ; (z^2+0.2*z+0.1)/(z^2+0.2*z+0.01)]
produces the single-input, two-output ZPK model
Zero/pole/gain from input to output...
z
#1: ---------------
(z+0.1) (z+0.2)
(z^2 + 0.2z + 0.1)
#2: ------------------
(z+0.1)^2
Sampling time: 0.1
Note that:
The syntax
z = tf('z') is equivalent to z = tf('z',–1) and leaves the
sample time unspecified. The same applies to
z = zpk('z').
Once you have defined
z as indicated above, any rational expressions in z
createsadiscrete-timemodelofthesametypeandwiththesamesample
time as
z.
Discrete Transfer Functions in DSP Format
In digital signal processing (DSP), it is customary to write discrete transfer
functions as rational expressions in and to order the numerator and
denominator coefficients in ascending powers of . For example, the
numerator and denominator of
wouldbespecifiedastherowvectors
[1 0.5] and [1 2 3], respectively. When
the numerator and denominator have different degrees, this convention
z
1
z
1
Hz
1
()
10.5z
1
+
12z
1
3z
2
++
----------------------------------------
=
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