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

LTI Properties
2-29
Most of these properties are dedicated to storing the model data. Note that the
matrix is set to
[] (the empty matrix) for standard state-space models, a
storage-efficie nt shorthand for the true value .
The
Variable property is only an attrib ute of TF and ZPK objects. This
property defines the frequency variable of transfer functions. The default
values are
's' (Laplace variable ) in continuous time and 'z' (Z-transform
variable ) in d iscrete time. Alternative choices include
'p' ( eq uiv al e n t to )
and
'q' or 'z^–1' for the reciprocal ofthe variable. The influence of
the variable choice is mostly limited to the display of TF or ZPK models. One
exception isthe specification ofdiscrete-time transferfunctionswith
tf (seetf
on page 11-224 for details).
Note that
tf producesthesameresultasfilt when the Variable property is
set to
'z^–1' or 'q'.
Finally, the
StateName propertyis analogoustotheInputName andOutputName
properties and keeps track of the state names in state-space models.
e
Descriptor matrix 2-D real matrix
StateName
State names Cell vector of strings
Table 2-8: FRD-Specific Properties
Property Name Description Property Value
Frequency
Frequency data points Real-valued vector
ResponseData
Frequency response Complex-valued
multidimensional array
Units
Units for frequency String 'rad/s' or 'Hz'
Table 2-7: SS-Specific Properties (Continued)
Property Name Description Property Value
E
E
EI
=
s
z
s
qz
1
–
=
z