National Instruments NI MATRIXx Xmath Manuals

Manuals and User Guides for National Instruments NI MATRIXx Xmath. We have 2 National Instruments NI MATRIXx Xmath manuals available for free PDF download: User Manual, Specification Sheet

National Instruments NI MATRIXx Xmath User Manual (129 pages)

Interactive Control Design Module

Brand: National Instruments | Category: I/O Systems | Size: 1 MB

Important Information
3
Table of Contents
5
Chapter 1 Introduction

11
- Using this Manual
  11
  - Document Organization
    11
  - Commonly-Used Nomenclature
    13
  - Related Publications
    13
  - Matrixx Help
    14
- ICDM Overview
  14
  - SISO Versus MIMO Design
    14
  - Starting ICDM
    14
Chapter 2 Introduction to SISO Design

16
- SISO Design Overview
  16
  - Basic SISO Terminology
    16
- Overview of ICDM
  18
  - ICDM Windows
    18
    
    ICDM Main Window
    19
    
    PID Synthesis Window
    19
    
    Root Locus Synthesis Window
    19
    
    Pole Place Synthesis Window
    19
    
    LQG Synthesis Window
    20
    
    H-Infinity Synthesis Window
    20
    
    History Window
    20
    
    Alternate Plant Window
    20
  - Key Transfer Functions and Data Flow in ICDM
    20
    
    Summary
    21
    
    Origin of the Controller
    21
    
    What the ICDM Main Window Plots Show
    22
  - Controller/Synthesis Window Compatibilities
    22
  - Using ICDM
    24
  - General Plotting Features
    26
    
    Ranges of Plots and Sliders
    26
    
    Zooming
    27
    
    Data-Viewing Plots
    27
    
    Interactive Plot Re-Ranging
    28
  - Graphically Manipulating Poles and Zeros
    28
    
    Editing Poles and Zeros
    28
  - Editing Poles and Zeros Graphically
    29
    
    Complex Poles and Zeros
    29
    
    Isolated Real Poles and Zeros
    29
    
    Nonisolated Real Poles and Zeros and Almost Real Pairs
    29
    
    Adding/Deleting Poles and Zeros
    30
    
    Adding/Deleting Pole-Zero Pairs
    30
Chapter 3 ICDM Main Window

32
- Window Anatomy
  32
  - Communicating with Xmath
    33
    
    Most Common Usage
    34
    
    Default Plants
    34
    
    Saving and Restoring an ICDM Session
    34
    
    Reading Another Plant into ICDM
    34
    
    Reading a Controller from Xmath into ICDM
    35
    
    Writing the Plant Back to Xmath
    35
    
    Writing the Alternate Plant Back to Xmath
    35
    
    Writing a Controller on the History List to Xmath
    35
  - ICDM Plots
    36
  - Selecting Plots
    36
    
    Ranges of Plots
    37
    
    Plot Magnify Windows
    38
- Selecting a Synthesis or History Window
  40
- Edit Menu
  40
Chapter 4 PID Synthesis

41
Chapter 5 Root Locus Synthesis

47
- Overview
  47
- Window Anatomy
  47
- Opening the Root Locus Synthesis Window
  49
- Terminology
  49
- Plotting Styles
  50
  - Phase Contours
    51
  - Magnitude Contours
    51
  - Slider and Plot Ranges
    52
- Manipulating the Parameters
  52
- Design
  53
Chapter 6 Pole Place Synthesis

56
- Window Anatomy
  56
- Pole Place Modes
  57
  - Normal Mode
    58
  - Integral Action Mode
    59
  - State-Space Interpretation
    60
  - Opening the Pole Place Window
    60
- Manipulating the Closed-Loop Poles
  60
  - Time and Frequency Scaling
    60
  - Butterworth Configuration
    61
  - Editing the Closed-Loop Poles
    61
  - Slider and Plot Ranges
    61
Chapter 7 LQG Synthesis

62
- LQG Synthesis Window Anatomy
  62
- Synthesis Modes
  64
  - Opening the LQG Synthesis Window
    64
  - Setup and Terminology
    65
  - Standard LQG (All Toggle Buttons Off)
    65
  - Integral Action
    66
  - Exponential Time Weighting
    66
  - Output Weight Editing
    67
  - State-Space Interpretation
    68
- Manipulating the Design Parameters
  68
  - Manipulating the Design Parameters Graphically
    68
  - Ranges
    69
Chapter 8 H-Infinity Synthesis

70
Chapter 9 History Window

77
Chapter 10 Alternate Plant Window

81
Chapter 11 Introduction to MIMO Design

87
- Basic Terminology for MIMO Systems
  87
  - Feedback System Configuration
    87
- Transfer Functions
  88
  - Integral Action
    90
- Overview of ICDM for MIMO Design
  91
  - ICDM MIMO Windows
    91
  - Main Window
    91
  - MIMO Plot Window
    92
  - History Window
    93
  - Alternate Plant Window (MIMO Version)
    93
Chapter 12 LQG/H-Infinity Synthesis

95
- Window Anatomy
  95
  - LQG/H-Infinity Main Window
    95
  - LQG/H-Infinity Weights Window
    96
  - Decay Rate Window
    99
  - H-Infinity Performance Window
    99
  - Frequency Weights Window
    100
- Synthesis Modes and Window Usage
  101
  - Opening the LQG/H-Infinity Synthesis Window
    102
  - Setup and Terminology
    102
  - Standard LQG (All Toggle Buttons "Off")
    105
  - Integral Action
    105
  - Exponential Time Weighting
    106
  - Weight Editing
    106
  - How to Select W, U, Y, and Z
    107
  - H-Infinity Solution
    108
- Manipulating the Design Parameters
  110
  - Main Window
    110
  - Ranges
    111
Chapter 13 Multi-Loop Synthesis

112
- Multi-Loop Window Anatomy
  112
- Setup and Synthesis Method
  114
  - Multi-Loop Versus Multivariable Design
    114
  - Opening the Multi-Loop Synthesis Window
    118
- Designing a Multi-Loop Controller
  118
  - Graphical Editor
    118
  - Selecting and Deselecting Loops
    118
  - Editing and Deleting Loops
    119
  - Loop Gain Magnitude and Phase
    119
  - Technical Support and Professional Services
    126

National Instruments NI MATRIXx Xmath Specification Sheet (127 pages)

National Instruments Reduction Module Specification Sheet

Brand: National Instruments | Category: Network Card | Size: 1 MB

Important Information
3
Table of Contents
5
Chapter 1 Introduction

8
- Using this Manual
  8
  - Document Organization
    8
  - Bibliographic References
    9
  - Commonly Used Nomenclature
    9
  - Conventions
    9
  - Algorithm
    10
  - Related Publications
    10
  - Matrixx Help
    10
- Overview
  10
  - Functions
    11
  - Nomenclature
    13
- Commonly Used Concepts
  14
- Low Order Controller Design through Order Reduction
  22
Chapter 2 Additive Error Reduction

24
- Introduction
  24
- Truncation of Balanced Realizations
  25
- Reduction through Balanced Realization Truncation
  27
- Singular Perturbation of Balanced Realization
  28
- Hankel Norm Approximation
  29
- Balmoore( )
  31
  - Related Functions
    34
- Truncate( )
  34
- Redschur( )
  35
  - Algorithm
    35
  - Related Functions
    37
- Ophank( )
  37
  - Restriction
    37
  - Algorithm
    38
  - Behaviors
    38
  - Onepass Algorithm
    41
  - Multipass Algorithm
    43
  - Discrete-Time Systems
    44
  - Impulse Response Error
    45
  - Unstable System Approximation
    46
  - Related Functions
    46
Chapter 3 Multiplicative Error Reduction

47
- Selecting Multiplicative Error Reduction
  47
  - Multiplicative Robustness Result
    48
- Bst( )
  49
- Mulhank( )
  60
  - Restrictions
    60
  - Algorithm
    60
  - Right and Left
    61
  - Consequences of Step 5 and Justification of Step 6
    64
  - Error Bounds
    66
  - Imaginary Axis Zeros (Including Zeros at )
    67
  - Related Functions
    70
Chapter 4 Frequency-Weighted Error Reduction

71
- Introduction
  71
  - Controller Reduction
    72
  - Controller Robustness Result
    72
  - Fractional Representations
    75
  - Related Functions
    85
- Fracred( )
  85
  - Restrictions
    85
  - Defining and Reducing a Controller
    86
  - Algorithm
    88
  - Additional Background
    90
  - Related Functions
    91
Chapter 5 Utilities

92
- Hankelsv( )
  92
  - Related Functions
    93
- Stable( )
  93
  - Algorithm
    93
  - Related Functions
    95
- Compare( )
  95
Chapter 6 Tutorial

96
- Plant and Full-Order Controller
  96
- Controller Reduction
  100
  - Ophank( )
    104
  - Wtbalance
    107
  - Fracred
    115
  - Technical Support and Professional Services
    124

National Instruments Categories

Control Unit I/O Systems Controller Computer Hardware Measuring Instruments

More National Instruments Manuals

National Instruments NI MATRIXx Xmath Manuals

National Instruments NI MATRIXx Xmath User Manual (129 pages)

Table of Contents

Chapter 1 Introduction

Chapter 2 Introduction to SISO Design

Chapter 3 ICDM Main Window

Chapter 4 PID Synthesis

Chapter 5 Root Locus Synthesis

Chapter 6 Pole Place Synthesis

Chapter 7 LQG Synthesis

Chapter 8 H-Infinity Synthesis

Chapter 9 History Window

Chapter 10 Alternate Plant Window

Chapter 11 Introduction to MIMO Design

Chapter 12 LQG/H-Infinity Synthesis

Chapter 13 Multi-Loop Synthesis

National Instruments NI MATRIXx Xmath Specification Sheet (127 pages)

Table of Contents

Chapter 1 Introduction

Chapter 2 Additive Error Reduction

Chapter 3 Multiplicative Error Reduction

Chapter 4 Frequency-Weighted Error Reduction

Chapter 5 Utilities

Chapter 6 Tutorial

Related Products

National Instruments Categories