National Instruments NI MATRIXx Xmath - Manual (Page 10)

Chapter 1 Introduction
© National Instruments Corporation 1-3 Xmath Model Reduction Module
Related Publications
For a complete list of MATRIXx publications, refer to Chapter 2,
MATRIXx Publications, Online Help, and Customer Support, of the
MATRIXx Getting Started Guide. The following documents are particularly
useful for topics covered in this manual:
• MATRIXx Getting Started Guide
• Xmath User Guide
• Control Design Module
• Interactive Control Design Module
• Interactive System Identification Module, Part 1
• Interactive System Identification Module, Part 2
• Model Reduction Module
• Optimization Module
• Robust Control Module
• X
μ Module
MATRIXx Help
Model Reduction Module function reference information is available in
the MATRIXx Help. The MATRIXx Help includes all Model Reduction
functions. Each topic explains a function’s inputs, outputs, and keywords
in detail. Refer to Chapter 2, MATRIXx Publications, Online Help, and
Customer Support, of the MATRIXx Getting Started Guide for complete
instructions on using the help feature.
Overview
The Xmath Model Reduction Module (MRM) provides a collection of tools
for reducing the order of systems. Many of the functions are based on
state-of-the-art algorithms in conjunction with researchers at the Australian
National University, who were responsible for the original development of
some of the algorithms. A common theme throughout the module is the use
of Hankel singular values and balanced realizations, although
considerations of numerical accuracy often dictates whether these tools are
used implicitly rather than explicitly. The tools are particularly suitable
when, as generally here, quality of approximation is measured by closeness
of frequency domain behavior.