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

4 Arrays of LTI Models
4-4
The Concept of an LTI Array
To visualize the concept of an LTI array, consider the set of five transfer
function models shown below. In this example, each model has two inputs and
two outputs. They differ by parameter variations in the individual model
components.
Figure 4-1: Five LTI Models to be Collected in an LTI Array
Figure 4-2: An LTI Array Containing These Five Models
1.1
s 1+
------------
0
0
1
s 5+
------------
1.3
s 1.1+
-----------------
0
0
1
s 5.2+
-----------------
1.11
s 1.2+
-----------------
0
0
1
s 5.4+
-----------------
1.15
s 1.3+
-----------------
0
0
1
s 5.6+
-----------------
1.09
s 1.4+
-----------------
0
0
1
s 5.8+
-----------------
1.09
s 1.4+
-----------------
0
0
1
s 5.8+
-----------------
1.15
s 1.3+
-----------------
0
0
1
s 5.6+
-----------------
1.11
s 1.2+
-----------------
0
0
1
s 5.4+
-----------------
1.3
s 1.1+
-----------------
0
0
1
s 5.2+
-----------------
1.1
s 1+
------------
0
0
1
s 5+
------------
Each element of the
LTI array is a model.
This LTI array embodies a
1-by-5 list of models.