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
4-18
where
• Both zeros and poles are multidimensional cell arrays whose cell entries
contain the v ectors of zeros and poles for each I/O pair of each model in the
LTI array.
•
gains is a multidimensional array containing the scalar gains for each I/O
pair of each model in the array.
• The dimensions (and their lengths) of
zeros, poles,andgains, determine
those o f the LTI array,
sys.
Specifying Arrays of SS Models Using ss
To specify arrays of SS models, use
sys = ss(a,b,c,d)
where a, b, c,anddare real-valued multidimensional arrays of appropriate
dimensions. All models in the resulting array of SS models have the same
number of states, outputs, and inputs.
Note: You cannot use the ss constructor to bui ld an array of state-space
models with different numbers of states. Use stack to build such LTI arrays.
The Size of LTI Array Data for SS Models
The size of the model data for arrays of state-space models is summarized in
the following table.
Data Size (Data)
a
b
c
d
N
s
N
s
S
1
S
2
…S
K
N
s
N
u
S
1
S
2
…S
K
N
y
N
s
S
1
S
2
…S
K
N
y
N
u
S
1
S
2
…S
K