Specifications
Table Of Contents
- Introduction
- LTI Models
- Operations on LTI Models
- Model Analysis Tools
- Arrays of LTI Models
- Customization
- Setting Toolbox Preferences
- Setting Tool Preferences
- Customizing Response Plot Properties
- Design Case Studies
- Reliable Computations
- GUI Reference
- SISO Design Tool Reference
- Menu Bar
- File
- Import
- Export
- Toolbox Preferences
- Print to Figure
- Close
- Edit
- Undo and Redo
- Root Locus and Bode Diagrams
- SISO Tool Preferences
- View
- Root Locus and Bode Diagrams
- System Data
- Closed Loop Poles
- Design History
- Tools
- Loop Responses
- Continuous/Discrete Conversions
- Draw a Simulink Diagram
- Compensator
- Format
- Edit
- Store
- Retrieve
- Clear
- Window
- Help
- Tool Bar
- Current Compensator
- Feedback Structure
- Root Locus Right-Click Menus
- Bode Diagram Right-Click Menus
- Status Panel
- Menu Bar
- LTI Viewer Reference
- Right-Click Menus for Response Plots
- Function Reference
- Functions by Category
- acker
- allmargin
- append
- augstate
- balreal
- bode
- bodemag
- c2d
- canon
- care
- chgunits
- connect
- covar
- ctrb
- ctrbf
- d2c
- d2d
- damp
- dare
- dcgain
- delay2z
- dlqr
- dlyap
- drss
- dsort
- dss
- dssdata
- esort
- estim
- evalfr
- feedback
- filt
- frd
- frdata
- freqresp
- gensig
- get
- gram
- hasdelay
- impulse
- initial
- interp
- inv
- isct, isdt
- isempty
- isproper
- issiso
- kalman
- kalmd
- lft
- lqgreg
- lqr
- lqrd
- lqry
- lsim
- ltimodels
- ltiprops
- ltiview
- lyap
- margin
- minreal
- modred
- ndims
- ngrid
- nichols
- norm
- nyquist
- obsv
- obsvf
- ord2
- pade
- parallel
- place
- pole
- pzmap
- reg
- reshape
- rlocus
- rss
- series
- set
- sgrid
- sigma
- sisotool
- size
- sminreal
- ss
- ss2ss
- ssbal
- ssdata
- stack
- step
- tf
- tfdata
- totaldelay
- zero
- zgrid
- zpk
- zpkdata
- Index

10 Design Case Studies
10-28
step(cloop)
Thisresponsedependsonyourclosedloopsetpoint.Theoneshownhereis
relatively fastandsettles inabout 0.07 seconds. Therefore,thisclosedloopdisk
drive system has a seek time of about 0.07 seconds. This is slow by today's
standards, but you also started with a very lightly damped system.
Now look at the robustness of your design. The most common classical
robustnesscriteriaare the gain and phase margins. Use the function
margin to
determinethesemargins.Withoutputarguments,
margin returnsthegainand
phase margins as well as the corresponding crossover frequencies. Without
output argument,
margin plots the Bode response and displays the margins
graphically.
To compute the margins, first formthe unity-feedback open loop by connecting
the compensator , plant model, and feedback gain in series.
olk = K * oloop;
Dz() k