MATLAB CONTROL SYSTEM TOOLBOX 9 Guide de l'utilisateur Page 628

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zpk
11-238
11zpk
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 isused tocreate zero-pole-gainmodels(ZPK objects) or to convertTF orSS
models to zero-pole-gain form.
Creation of Zero-Pole-Gain Models
sys = zpk(z,p,k) creat es a cont inuous -time zero-pole-gain mo del with ze ro s
z,polesp, and g ain(s) k. The output sys is a ZPK object storing the model data
(see “LTI Objects” on page 2-3).
In the SISOcase,
z and p are the vectors ofreal or complex conjugate zeros and
poles, and
k is the r ea l-va lue d scal ar 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:
hs() k
sz1
()()
sz2
()()
... szm
()()
sp1()()sp2()()... spn()()
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