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

LQG Regulation: Rolling Mill Example
10-31
LQG Regulation: Rolling Mill Example
This case study demonstrates the use of the LQG design tools in a process
controlapplication.Thegoalistoregulatethehorizontaland verticalthickness
of the beam produced by a hot steel rolling mill. This example is adapted from
[1]. The full plant model is MIMO and the example shows the advantage of
direct MIMO LQG design over separate SISO designs for each axis. Type
milldemo
at the command line to run this demonstration interactively.
Process and Disturbance Models
The rolling mill is used to shape rectangular beams of hot metal. The desired
outgoing shape is sketched below.
rolling cylinders
shaped beam
x
y