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370757C-01, NI MATRIX Xmath Robust Control Module manual
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NI MATRIXx
TM
Xmath
TM
Robust Control Module
MATRIXx Xmath Robust Control Module
April 2007
370757C-01
Contents
Main
Page
Important Information
Warranty
Copyright
Trademarks
Patents
Conventions
Contents
Chapter 1 Introduction
Chapter 2 Robustness Analysis
Page
Introduction
Using This Manual
Document Organization
Bibliographic References
Commonly-Used Nomenclature
Related Publications
MATRIXx Help
Overview
Page
Robustness Analysis
Modeling Uncertain Systems
Page
Stability Margin (smargin)
smargin( )
Creating a Nominal System
Page
Page
Page
Worst-Case Performance Degradation (wcbode)
wcbode( )
Using wcbode( ) to Analyze Performance Degradation
Advanced Topics
Stability Margin
Stability Margin and Structured Singular Values ()
Stability Margin Bounds Using Singular Values
Use of Scaling Example
Approximation with Scaled Singular Values
Page
Comparing Scaling Algorithms
ssv( )
ssv( ) Examples
osscale( )
pfscale( )
optscale( )
Reducibility
Worst-Case Performance Degradation (wcgain)
Conversion to a Stability Margin Problem
wcgain( )
System Evaluation
Singular Value Bode Plots
Page
L Infinity Norm (linfnorm)
linfnorm( )
Page
Page
Singular Value Bode Plots of Subsystems
perfplots( )
Page
Page
clsys( )
nw
nz
Page
Controller Synthesis
H-Infinity Control Synthesis
Problem Definition
Extended Transfer Matrix
Building the Plant Model
Page
Weight Selection
Page
Restrictions on the Extended Plant
hinfcontr( )
Page
Page
Page
Page
singriccati( )
Linear-Quadratic-Gaussian Control Synthesis
LQG Frequency Shaping
fsregu( )
Page
fsesti( )
fslqgcomp( )
Frequency-Shaped Control Design Commands
Page
frequency-shaped control signal v. Design a frequency-shaped regulator:
8. Calculate the frequency-shaped estimator:
The compensator should be structured as shown in Figure4-7.
The fslqgcomp( ) function can be used to develop the compensator.
9. Design the LQG compensator.
Enforce negative feedback:
Loop Transfer Recovery (lqgltr)
lqgltr( )
Page
A
Bibliography
Page
Page
B
Technical Support and Professional Services
Index
O
P
R
S
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