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

LTI Models
1-3
LTI Models
You can specify linear time-invariant (LTI) systems a s transfer function (TF)
models, zero/pole/gain (ZPK) models, state-space (SS) models, o r frequency
response data (FRD) model. You can construct the corresponding models using
the constructor functions.
sys = tf(num,den) % transfer function
sys = zpk(z,p,k) % zero/pole/gain
sys = ss(a,b,c,d) % state space
sys = frd(response,frequencies) % frequency response data
To find out information about LTI models, type
ltimodels
See also “Creating LTI M odels” on page 2-8.
The output
sys is a model-specific data structure called a TF, ZPK, SS, or FRD
object, respectively. These objects store the model data and enable you t o
manipulate the LTI model as a single entity; see “LTI Objects” on page 2-3 for
more information. For example, type
h = tf(1,[1 1]) % creates transfer function 1/(s+1)
and MATLAB responds with
Transfer function:
1
-----
s + 1
Type
1+h
MATLAB responds with
Transfer function:
s + 2
-----
s + 1