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

Operations on LTI Arrays
4-25
Operations on LTI Arrays
Using LTI arrays, you can apply almost all of the basic model operations that
work on single LTI models to entire sets of models at once. These basic
operations, discussed in Chapter 3, “Operations on LTI Models,” include:
• The arithmetic operations: +,
–, *, /,\,',.'
• The model interconnection functions: concatenation along I/O dimensions
(
[,], [;]), feedback, append, series, parallel,andlft
When you apply any of these operations to two (or more) LTI arrays (for
example,
sys1 and sys2), the operation is implemented on a model-by-model
basis. Therefore, the kth model of the resulting LTI array is derived from the
application of the given operation to the kth model of
sys1 and the kth model
of
sys2.
For example, if
sys1 and sys2 are two LTI arrays and
sys = op(sys1,sys2)
then th e kth mod el in the result ing LT I array sys is obt ained by ad ding the kth
models in
sys1 to th e k th model in sys2
sys(:,:,k) = sys1(:,:,k) + sys2(:,:,k)
You ca n also apply any of the response plotting functions such as step, bode,
and
nyquist described in Chapter 5, “Model Analysis Tools,” to LTI arrays.
These plot ting functions a re also applied on a model by model basis. See “The
Right-Click Menu for LTI Arrays” on page 6-28 for information on using the
model selector for LTI arrays on response plots.