© National Instruments Corporation 1-1 MATRIXx Xmath Robust Control Module
1
Introduction
The Xmath Robust Control Module (RCM) provides a collection of
analysis and synthesis tools that assist in the design of robust control
systems.
This chapter starts with an outline of the manual and some use notes. It
continues with an overview of the Xmath Robust Control Module (RCM)
functions.

Using This Manual

This manual provides complete documentation for all the RCM functions
along with their associated theoretical background, references, and
examples.

Document Organization

This manual includes the following chapters:
• Chapter 1, Introduction, describes the Robust Control Module (RCM)
and shows the RCM function structure.
• Chapter 2, Robustness Analysis, covers the robustness analysis
tools and introduces the concepts of uncertainty, robustness, and
performance degradation in the framework of closed-loop systems.
The Modeling Uncertain Systems section should be read by all those
interested in robustness analysis or performance degradation, which
are explained in the Stability Margin (smargin) section and the
Worst-Case Performance Degradation (wcbode) section. The
Advanced Topics section provides additional information but this
material is not prerequisite to the use of RCM functions.
• Chapter 3, SystemEvaluation, describes system analysis functions that
create singular value Bode plots, performance plots, and calculate the
L∞ norm of a linear system. This chapter should be of interest to all
users.
• Chapter 4, Controller Synthesis, discusses synthesis tools in two
categories, H∞ and H2. This manual does not attempt to explain all
oft he theory of H∞, LQG/LTR, and frequency shaped LQG design