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

2 LTI Models
2-42
Model Conversion
There are four LTI model types you can use with the Control System Toolbox:
TF,ZPK,SS,andFRD.Thissection shows how toconvertmodelsfromonetype
to the other.
Explicit Conversion
Model conversions are performed b y tf, ss, zpk,andfrd. Given any T F, S S, or
ZPK model
sys, the syntax for conversion to another model type is
Notice that FRD models can’t be converted to the other model types. In
addition, you must als o include a vector of f requencies (
frequency) as an input
argument when converting to an FRD model.
For example, you can convert the state-space model
sys = ss(–2,1,1,3)
to a zero-pole-gain model by typing
zpk(sys)
to which MATLAB responds
Zero/pole/gain:
3 (s+2.333)
-----------
(s+2)
Note that the transfer function of a state-space model with data is
sys = tf(sys) % Conversion to TF
sys = zpk(sys) % Conversion to ZPK
sys = ss(sys) % Conversion to SS
sys = frd(sys,frequency) % Conversion to FRD
ABCD
,,,()
Hs() DCsIA–()
1
–
B+=