User`s guide
Table Of Contents
- Preface
- Quick Start
- LTI Models
- Introduction
- Creating LTI Models
- LTI Properties
- Model Conversion
- Time Delays
- Simulink Block for LTI Systems
- References
- Operations on LTI Models
- Arrays of LTI Models
- Model Analysis Tools
- The LTI Viewer
- Introduction
- Getting Started Using the LTI Viewer: An Example
- The LTI Viewer Menus
- The Right-Click Menus
- The LTI Viewer Tools Menu
- Simulink LTI Viewer
- Control Design Tools
- The Root Locus Design GUI
- Introduction
- A Servomechanism Example
- Controller Design Using the Root Locus Design GUI
- Additional Root Locus Design GUI Features
- References
- Design Case Studies
- Reliable Computations
- Reference
- Category Tables
- acker
- append
- augstate
- balreal
- bode
- c2d
- canon
- care
- chgunits
- connect
- covar
- ctrb
- ctrbf
- d2c
- d2d
- damp
- dare
- dcgain
- delay2z
- dlqr
- dlyap
- drmodel, drss
- dsort
- dss
- dssdata
- esort
- estim
- evalfr
- feedback
- filt
- frd
- frdata
- freqresp
- gensig
- get
- gram
- hasdelay
- impulse
- initial
- inv
- isct, isdt
- isempty
- isproper
- issiso
- kalman
- kalmd
- lft
- lqgreg
- lqr
- lqrd
- lqry
- lsim
- ltiview
- lyap
- margin
- minreal
- modred
- ndims
- ngrid
- nichols
- norm
- nyquist
- obsv
- obsvf
- ord2
- pade
- parallel
- place
- pole
- pzmap
- reg
- reshape
- rlocfind
- rlocus
- rltool
- rmodel, rss
- series
- set
- sgrid
- sigma
- size
- sminreal
- ss
- ss2ss
- ssbal
- ssdata
- stack
- step
- tf
- tfdata
- totaldelay
- zero
- zgrid
- zpk
- zpkdata
- Index

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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