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
4-12
Building LTI Arrays
There are several ways to b uild LTI arrays:
• Using a
for loop to assign each model in the array
• Using
stack to concatenate LTI models into an LTI array
• Using
tf, zpk, ss,orfrd
In ad dition, you can use the command rss to generate LTI arrays of random
state-space models.
Generating LTI Arrays Using rss
A convenient way to generate arrays of state-space models with the same
number of states in each model is to use
rss. The syntax is
rss(N,P,M,sdim1,...,sdimk)
where
•
N is the number of states of each model in the LTI array.
•
P is the number of outputs of each model in the LTI array.
•
M is the number of inputs of each model in the LTI array.
•
sdim1,...,sdimk are the lengths of the array dimensions.
For example, to create a 4-by-2 array of random state-space models with three
states, one output, a nd one input, type
sys = rss(3,2,1,4,2);
size(sys)
4x2 array of continuous-time state-space models
Each model has 2 outputs, 1 input, and 3 states.
Building LTI Arrays Using for Loops
Consider the following second-order SISO transfer function that depends on
two parameters, and
.
ζω
Hs()
ω
2
s
2
2ζωs ω
2
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