National Instruments 370757C-01, NI MATRIX Xmath Robust Control Module manual Contents

© National Instruments Corporation v MATRIXx Xmath Robust Control Module
Contents
Chapter 1
Introduction
Using This Manual.........................................................................................................1-1
Document Organization...................................................................................1-1
Bibliographic References................................................................................1-2
Commonly-Used Nomenclature......................................................................1-2
Related Publications........................................................................................1-2
MATRIXx Help...............................................................................................1-3
Overview........................................................................................................................1-3
Chapter 2
Robustness Analysis
Modeling Uncertain Systems.........................................................................................2-1
Stability Margin (smargin).............................................................................................2-3
smargin().........................................................................................................2-4
Worst-Case Performance Degradation (wcbode)..........................................................2-8
wcbode() .........................................................................................................2-9
Advanced Topics...........................................................................................................2-10
Stability Margin...............................................................................................2-10
Stability Margin and Structured Singular Values (µ) .......................2-10
Stability Margin Bounds Using Singular Values..............................2-11
Approximation with Scaled Singular Values....................................2-12
ssv() ................................................................................................................2-15
osscale() ..........................................................................................................2-16
pfscale() ..........................................................................................................2-16
optscale() ........................................................................................................2-17
Reducibility....................................................................................................................2-17
Worst-Case Performance Degradation (wcgain)...........................................................2-18
Conversion to a Stability Margin Problem......................................................2-18
wcgain() ..........................................................................................................2-19