National Instruments 370760B-01 User Manuals

Table of Contents

• Xmath Xµ Module

  1
• Support

  2
  • Worldwide Technical Support and Product Information

    2
  • National Instruments Corporate Headquarters

    2
  • Worldwide Offices

    2
• Important Information

  3
  • Warranty

    3
  • Copyright

    3
  • Trademarks

    3
  • Patents

    3
  • WARNING REGARDING USE OF NATIONAL INSTRUMENTS PRODUCTS

    3
• Contents

  4
• Chapter 1 Introduction and Overview

  10
  • 1.1 Notation

    10
  • 1.2 Manual Outline

    11
  • 1.3 How to avoid really reading this Manual

    12
• Chapter 2 Overview of the Underlying Theory

  13
  • 2.1 Introduction

    13
  • 2.2 Modeling Uncertain Systems

    21
  • 2.3 H-infinity and H-2 Design Methodologies

    37
  • 2.4 Mu Analysis

    50
  • 2.5 Mu Synthesis and D-K Iteration

    66
  • 2.6 Model Reduction

    72
• Chapter 3 Functional Description of Xmu

  78
  • 3.1 Introduction

    78
  • 3.2 Data Objects

    78
  • 3.3 Matrix Information, Display and Plotting

    88
  • 3.4 System Response Functions

    92
  • 3.5 System Interconnection

    98
  • 3.6 H-2 and H-infinity Analysis and Synthesis

    102
  • 3.7 Structured Singular Value (Mu) Analysis and Synthesis

    114
  • 3.8 Model Reduction

    128
• Chapter 4 Demonstration Examples

  134
  • 4.1 The Himat Example

    134
  • 4.2 A Simple Flexible Structure Example

    160
• Chapter 5 Bibliography

  199
• Chapter 6 Function Reference

  206
  • 6.1 Xmu Functions

    206
  • 6.2 Xmu Subroutines and Utilities

    361
• Appendix A Translation Between MATLAB Mu-Tools and Xmu

  371
  • A.1 Data Objects

    372
  • A.2 Matrix Information, Display and Plotting

    377
  • A.3 System Response Functions

    378
  • A.4 System Interconnection

    379
  • A.5 Model Reduction

    379
  • A.6 H-2 and H-infinity Analysis and Synthesis

    379
  • A.7 Structured Singular Value (Mu) Analysis and Synthesis

    380
• Technical Support and Professional Services

  384