National Instruments Xmath Introduction

Introduction

This chapter starts with an outline of the manual and some useful notes. It

also provides an overview of the Model Reduction Module, describes the

functions in this module, and introduces nomenclature and concepts used

throughout this manual.

This manual describes the Model Reduction Module (MRM), which

provides a collection of tools for reducing the order of systems.

Readers who are not familiar with Parameter Dependent Matrices (PDMs)

should consult the Xmath User Guide before using MRM functions and

tools. Although several MRM functions accept both PDMs and matrices as

input parameters, PDMs are preferable because they can include additional

information that is useful for simulation, plotting, and signal labeling.

This manual includes the following chapters:

• Chapter 1, Introduction, starts with an outline of the manual and some

useful notes. It also provides an overview of the Model Reduction

Module, describes the functions in this module, and introduces

nomenclature and concepts used throughout this manual.

• Chapter 2, Additive Error Reduction, describes additive error

reduction including discussions of truncation of, reduction by,

andperturbation of balanced realizations.

• Chapter 3, Multiplicative Error Reduction, describes multiplicative

error reduction presenting considerations for using multiplicative

rather than additive error reduction.

• Chapter 4, Frequency-Weighted Error Reduction, describes

frequency-weighted error reduction problems, including controller

reduction and fractional representations.