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

zpkdata
11-243
11zpkdata
Purpose Quick access to zero-pole-gain data
Syntax [z,p,k] = zpkdata(sys)
[z,p,k] = zpkdata(sys,'v')
[z,p,k,Ts,Td] = zpkdata(sys)
Description [z,p,k] = zpkdata(sys) returnst he zerosz,polesp,andgain(s)kof thezero-
pole-gain model
sys.Theoutputszand p are cell arrays with the following
characteristics:
•
z and p have as many rows as outputs and as many columns as inputs.
• The
(i,j) entries z{i,j} and p{i,j} are the (column) vectors o f zeros and
poles of the transfer function from input
j to output i.
The output
k is a matrix with as many rows as outputs and as many columns
as inputs such that
k(i,j) is the gain of the transfer function from input j to
output
i.Ifsys is a transfer function or state-space model, it is first converted
to zero-pole-gain form using
zpk. See Table 11-15, “LTI Properties,” on page
11-195 for more information on the format of state-space model data.
For SISO zero-pole-gain models, the syntax
[z,p,k] = zpkdata(sys,'v')
forces zpkdata to return the zeros and poles directly as column vectors rather
than as cell arrays (see example below).
[z,p,k,Ts,Td] = zpkdata(sys) also returns the sample time Ts and the
input delay data
Td. For continuous-time models, Td is a row vector with one
entry per input channel (
Td(j) indicat e s by how many secondst he jth input is
delayed). For discrete-time models,
Td is the empty matrix [] (see d2d for
delays in discrete systems).
You can access the remaining LTI properties of
sys with get or by direct
referencing, for example,
sys.Ts
sys.inputname