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
4-27
Note that:
• Each model in sys1 and sys2 must have the same number of inputs and
outputs. This is required for the addition of two LTI arrays.
• The lengths of the array dimensions of
sys1 and sys2 m ust match.
Dimension Requirements
In general, when you apply any of these basic operations to two or more LTI
arrays:
• The I/ O dimensions o f each of the LTI arrays must be compatible with the
requirements of the operation.
• The lengths of array dimensions must match.
The I/O dimensions ofeach model in the resulting LTI array are determined by
the operation beingperformed. SeeC hapter3, “Operationson LTI Models,”for
requirements on the I/O dimensions for the various operations.
For example, if
sys1 and sys2 are both 1-by-3 arrays of LTI models with two
inputs and two outputs, and
sys3 isa1-by-3arrayofLTImodelswithtwo
outputs and 1 input, then
sys1 + sys2
is an LTI array w ith the same dimensions as sys1 and sys2.
sys1 * sys3
is a 1-by-3 array of LTI models with two outputs and one input, and
[sys1,sys3]
is a 1-by-3 array of LTI models with two outputs and three inputs.
Special Cases for Operations on LTI Arrays
There are some special cases in applying operations to LTI arrays.
Consider applying any binary operation called
op (such as +, –,or*)toanLTI
array
sys1
sys = op(sys1,sys2)