National Instruments 370755B-01 Overview

Chapter 1 Introduction

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

Module

Model Reduction Module function reference information is available in

the MATRIXx Help. The MATRIXx Help includes all Model Reduction

functions. Each topic explains a funct ion’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.