National Instruments NI MATRIX Xmath Robust Control Module Computer Accessories User Manual


 
Chapter 2 Robustness Analysis
MATRIXx Xmath Robust Control Module 2-10 ni.com
Figure 2-6. Performance Degradation of the SISO Tracking System
Advanced Topics
This section describes the theoretical background on robustness analysis
and performance degradation.
Stability Margin
This section discusses advanced aspects of computing the stability margin
and the related scaling algorithms.
Stability Margin and Structured Singular Values (μ)
The stability margin was first defined by Safonov in [Saf82]. If you let
then you can express the margin at frequency d as
MH
qr
diagonal l
1
w()...,l
k
w(),()=
margin ω() max= α det I MΔ()0{