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

9 Design Case Studies
9-40
You are now ready to compare the open- and closed-loop Bode responses from
disturbance to thickness gap.
bode(Px(1,2:3),'--',clx(1,2:3),'-',{0.1 100})
The dashed lines show the open-loop response. Note that the peak gain of the
eccentricity-to-gap response and the low-frequency gain of the
input-thickness-to-gap response have been reduced by about 20 dB.
Finally, use
lsim to simulate the open- and closed-loop time responses to the
white noise inputs and . Choose
dt=0.01 as sampling period for t he
Frequency (rad/sec)
Phase (deg); Magnitude (dB)
Bode Diagrams
−100
−80
−60
−40
−20
0
From: w−ex From: w−ix
10
−1
10
0
10
1
10
2
−300
−250
−200
−150
−100
−50
0
To: x−gap
10
−1
10
0
10
1
10
2
w
ex
w
ix