MATLAB CONTROL SYSTEM TOOLBOX 9 Podręcznik Użytkownika Pobierz pdf (Strona 25)

100

101

LTI Models

1-5

where each SISO entry is characterized by its n umerator and denominator.

Cell arrays provide an ide al means to specify the resulting arrays of

numeratorsanddenominators;see,“MIMOTransferFunctionModels”onpage

2-10 for more informati on. For example,

num = {0.5,[1 1]} % 1-by-2 cell array of numerators

den = {[1 0],[1 2]} % 1-by-2 cell array of denominators

H = tf(num,den)

creates the one-output/two-input transfer function

Alternatively, you c an create the same transfer function by matrix-like

concatenation of its SISO entries

h11 = tf(0.5,[1 0]) % 0.5/s

h12 = tf([1 1],[1 2]) % (s+1)/(s+2)

H = [h11,h12]

MIMO zero/pole/gain systems are defined in a similar fashion. For example,

the following commands specify above as a zero/pole/gain model

Zeros = {[],–1} % Note: use [] when no zero

Poles = {0 ,–2}

Gains = [0.5,1] % Note: use regular matrix for gains

H = zpk(Zeros,Poles,Gains)

Model Conversion

The functions tf, zpk, frd,andss also perform model conversion; see “Model

Conversion” on page 2-42 for more information. For example,

sys_ss = ss(sys)

converts some tf or zpk model sys to state space. Similarly, if you type

h = tf(1,[1 2 1]) % transfer function 1/(s^2+2s+1)

zpk(h)

Hs()

0.5

--------

s 1+

s 2+

------------

()

1 2 ... 20 21 22 23 24 25 26 27 28 29 30 ... 648 649

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