MATLAB CONTROL SYSTEM TOOLBOX 9 Betriebsanweisung PDF herunterladen (Seite 614)

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11tf

Purpose Specify transfer functions or convert LTI model to transfer function form

Syntax sys = tf(num,den)

sys = tf(num,den,Ts)

sys = tf(M)

sys = tf(num,den,ltisys)

sys = tf(num,den,'Property1',Value1,...,'PropertyN',ValueN)

sys = tf(num,den,Ts,'Property1',Value1,...,'PropertyN',ValueN)

sys = tf('s')

sys = tf('z')

tfsys = tf(sys)

tfsys = tf(sys,'inv') % for state-space sys only

Description tf is used to create real-valued transfer function models (TF objects) or to

convert state-space or zero-pole-gain models to transfer function form.

Creation of Transfer Functions

sys = tf(num,den) creates a continuous-time transfer function with

numerator(s) and denominator(s) specified by

num and den. The outputsys is a

TFobjectstoringthetransferfunctiondata(see“TransferFunctionModels”on

page 2- 8).

Inthe SISOcase,

num andden are thereal-valued rowvectors ofnumeratora nd

denominator coefficients ordered in descending powers of . T hese two vectors

need not have equal length and the transfer function need not be proper. For

example,

h = tf([1 0],1) specifies the pure derivative .

To create MIMO transfer functions, specify the numerator and denominator of

each SISO entry. In this case:

•

num and den are cell arrays of row vectors with as many rows as outputs and

as many columns as inputs.

• The row vectors

num{i,j} and den{i,j} specify the numerator and

denominator of the transfer functionfrom input

j to output i (with the SISO

convention).

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