MATLAB CONTROL SYSTEM TOOLBOX 9 Specifications download pdf (Page 572)

100

101

zpk

16-232

16zpk

Purpose Specify zero-pole-gain models or convert LTI model to zero-pole-gain form

Syntax sys = zpk(z,p,k)

sys = zpk(z,p,k,Ts)

sys = zpk(M)

sys = zpk(z,p,k,ltisys)

sys = zpk(z,p,k,'Property1',Value1,...,'PropertyN',ValueN)

sys = zpk(z,p,k,Ts,'Property1',Value1,...,'PropertyN',ValueN)

sys = zpk('s')

sys = zpk('z')

zsys = zpk(sys)

zsys = zpk(sys,'inv') % for state-space sys only

Description zpk is used tocreatezero-pole-gainmodels(ZPKobjects) or to convertTF orSS

models to zero-pole-gain form.

Creation of Zero-Pole-Gain Models

sys = zpk(z,p,k) creates a continuous-time zero-pole-gain model with zeros

z, poles p, and gain(s) k.Theoutputsys is a ZPK object storing the model data

(see “LTI Objects” on page 2-3).

In the SISO case,

z andp are the vectors of real or complex conjugate zerosand

poles, and

k is the real-valued scalar gain.

Set

z or p to [] for systems without zeros or poles. These two vectors need not

have equal length and the model need not be proper (that is, have an excess of

poles).

You can also use rational expressions to create a ZPK model. To do so, use

either:

•

s = zpk('s') to specifya ZPK model froma rational transfer function of the

Laplace variable,

()

sz1

()

–

()

sz2

()

–

()

... szm

()

–

()

sp1

()

–

()

sp2

()

–

()

... spn

()

–

()

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MATLAB CONTROL SYSTEM TOOLBOX 9 Specifications Page 572

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