Manuals
/
Brands
/
Computer Equipment
/
Calculator
/
National Instruments
/
Computer Equipment
/
Calculator
National Instruments
370760B-01
170 CHAPTER 4. DEMONSTRATION EXAMPLES
1
177
384
384
Download
384 pages, 1.41 Mb
170
CHAPTER 4.
DEMONSTRATION EXAMPLES
Frequency
10 100
1
1000
Magnitude
0.001
0.01
0.1
0.0001
1
Controller: Kmu
Frequency
10 100
1
1000
Phase (degrees)
-50
0
50
100
150
-100
200
Contents
Main
MATRIXx
XmathTM X Manual
MATRIXx Xmath Basics
Page
Important Information
Warranty
Copyright
Trademarks
Patents
Contents
Page
Page
Page
Page
Page
Chapter 1
Introduction
1.1 Notation
1.2 Manual Outline
1.3 How to avoid really reading this Manual
Chapter 2
Overview of the Underlying Theory
2.1 Introduction
2.1.1 Notation
Page
2.1.2 An Introduction to Norms
Page
Page
Page
Page
2.2 Modeling Uncertain Systems
2.2.1 Perturbation Models for Robust Control
Page
Page
Page
2.2.2 Linear Fractional Transformations
Page
Page
Page
Page
2.2.3 Assumptions on P,, and the unknown signals
2.2.4 Additional Perturbation Structures
Page
Page
Page
Page
2.2.5 Obtaining Robust Control Models for Physical Systems
2.3 Hand H2Design Methodologies
Page
2.3.1 HDesign Overview
2.3.2 Assumptions for the HDesign Problem
2.3.3 A Brief Review of the Algebraic Riccati Equation
Page
Page
2.3.4 Solving the HDesign Problem for a Special Case
Page
2.3.5 Further Notes on the HDesign Algorithm
Page
2.3.6 H2Design Overview
2.3.7 Details of the H2Design Procedure
Page
2.4 Analysis
2.4.1 Measures of Performance
Page
2.4.2 Robust Stability and
Page
2.4.3 Robust Performance
2.4.4 Properties of
Page
2.4.5 The Main Loop Theorem
Page
2.4.6 State-space Robustness Analysis Tests
Page
Page
Page
Page
Page
Page
2.4.7 Analysis with both Real and Complex Perturbations
2.5 Synthesis and D-KIteration
2.5.1 -Synthesis
Page
2.5.2 The D-KIteration Algorithm
Page
Page
Page
2.6 Model Reduction
2.6.1 Truncation and Residualization
2.6.2 Balanced Truncation
Page
Page
2.6.3 Hankel Norm Approximation
Page
Chapter 3
Functional Description of X
3.1 Introduction
3.2 Data Objects
3.2.1 Dynamic Systems
Page
3.2.2 pdms
Page
Page
3.2.3 Subblocks: selecting input & outputs
3.2.4 Basic Functions
Page
Page
3.2.5 Continuous to Discrete Transformations
3.3 Matrix Information, Display and Plotting
3.3.1 Information Functions for Data Objects
3.3.2 Formatted Display Functions
3.3.3 Plotting Functions
Page
Page
3.4 System Response Functions
3.4.1 Creating Time Domain Signals
3.4.2 Dynamic System Time Responses
Page
Page
3.4.3 Frequency Responses
Page
90 CHAPTER 3. FUNCTIONAL DESCRIPTION OF X
3.5 System Interconnection
Page
Page
Page
3.6 H2and HAnalysis and Synthesis
3.6.1 Controller Synthesis
Page
Page
98 CHAPTER 3. FUNCTIONAL DESCRIPTION OF X
The desired closed loop conguration is illustrated in Figure 3.6.
Figure 3.6: Closed loop conguration
Page
Page
Page
Page
Page
Page
3.6.2 System Norm Calculations
Page
3.7 Structured Singular Value () Analysis and Synthesis
3.7.1 Calculation of
Page
Page
3.7.2 The D-KIteration
Page
3.7.3 Fitting DScales
Page
Page
Page
Page
Page
Page
Page
3.7.4 Constructing Rational Perturbations
3.7.5 Block Structured Norm Calculations
3.8 Model Reduction
3.8.1 Truncation and Residualization
3.8.2 Balanced Realizations
Page
3.8.3 Hankel Singular Value Approximation
126 CHAPTER 3. FUNCTIONAL DESCRIPTION OF X
Magnitude
Chapter 4
Demonstration Examples
4.1 The Himat Example
4.1.1 Problem Description
4.1.2 State-space Model of Himat
Page
Page
4.1.3 Creating a Weighted Interconnection Structure for Design
Page
4.1.4 HDesign
Page
Page
Page
Page
4.1.5 AnalysisoftheH
Page
4.1.6 Fitting D-scales for the D-KIteration
Page
142 CHAPTER 4. DEMONSTRATION EXAMPLES
4.1.7 Design Iteration #2
Page
Page
4.1.8 Simulation Comparison with a Loopshaping Controller
Page
Page
4.1. THE HIMATEXAMPLE 149
Page
4.1. THE HIMATEXAMPLE 151
Page
4.2 A Simple Flexible Structure Example
4.2.1 The Control Design Problem
Page
4.2.2 Creating the Weighted Design Interconnection Structure
Page
Page
Page
4.2. A SIMPLE FLEXIBLE STRUCTURE EXAMPLE 159
Page
4.2. A SIMPLE FLEXIBLE STRUCTURE EXAMPLE 161
4.2.3 Design of an HController
Page
164 CHAPTER 4. DEMONSTRATION EXAMPLES
4.2.4 Robustness Analysis
Page
4.2. A SIMPLE FLEXIBLE STRUCTURE EXAMPLE 167
4.2.5 D-KIteration
Page
170 CHAPTER 4. DEMONSTRATION EXAMPLES
Page
172 CHAPTER 4. DEMONSTRATION EXAMPLES
4.2.6 A Simulation Study
174 CHAPTER 4. DEMONSTRATION EXAMPLES
Page
176 CHAPTER 4. DEMONSTRATION EXAMPLES
Page
178 CHAPTER 4. DEMONSTRATION EXAMPLES
Page
180 CHAPTER 4. DEMONSTRATION EXAMPLES
Page
182 CHAPTER 4. DEMONSTRATION EXAMPLES
Page
184 CHAPTER 4. DEMONSTRATION EXAMPLES
Page
Page
4.2. A SIMPLE FLEXIBLE STRUCTURE EXAMPLE 187
Page
4.2. A SIMPLE FLEXIBLE STRUCTURE EXAMPLE 189
Page
4.2. A SIMPLE FLEXIBLE STRUCTURE EXAMPLE 191
Bibliography
Page
Page
Page
Page
Page
Page
Chapter 6
Function Reference
6.1 XFunctions
System building and interconnection
Variable display and graphics
Time response calculationsand pdm functions
Page
Page
balmoore
Page
Page
blknorm
Page
Page
conpdm
consys
csum
Page
Page
ctrlplot
Page
Page
Page
Page
Page
Page
Page
Page
Page
daug
Page
Page
Page
Page
delsubstr
Page
tsys
Page
Page
242 Chapter 6. Function Reference
Page
244 Chapter 6. Function Reference
Page
gstep
248 Chapter 6. Function Reference
Page
hinfnorm
Page
Page
h2norm
Page
hinfsyn
p k
zw y u
Page
Page
Page
262 Chapter 6. Function Reference
Page
Page
Page
Page
hinfsyn 267
Page
h2syn
p k
Page
Page
h2syn 273
Page
Page
Page
Page
278 Chapter 6. Function Reference
Page
interp
Page
interp 283
Page
mergeseg
Page
mergeseg 287
mkpert
Page
mkphase
Page
modalstate
Page
mu
Page
Page
musynt
Page
Page
Page
musynfit 303
Page
musynfit 305
Page
musynfit 307
Page
Page
310 Chapter 6. Function Reference
Page
312 Chapter 6. Function Reference
Page
ophank
Page
ophank 317
Page
orderstate
Page
Page
randpdm
Page
Page
randpert
Page
randsys
Page
Page
332 Chapter 6. Function Reference
Page
rifd
Page
Page
sdtrsp
Sys dSys
Example:
Page
sdtrsp 343
Page
simtransform
Page
Page
spectrad
Page
sresidualize
Page
sresidualize 353
Page
starp
Page
Page
Page
Page
substr
sysic
Page
trsp
Page
trsp 367
Page
trsp 369
Page
trsp 371
truncate
Page
sresidualize 375
Page
6.2 XSubroutines and Utilities
hinfsyn subroutines
mu subroutines
blkbal
Page
Page
Page
Page
riccati eig
Page
riccati schur
Page
Appendices
A Translation Between Matlab -Tools and X
A.1 Data Objects
Page
Page
Page
Page
A.2 Matrix Information, Display and Plotting
A.3 System Response Functions
A.4 System Interconnection
A.5 Model Reduction
A.6 H2and HAnalysis and Synthesis
A.7 Structured Singular Value() Analysis and Synthesis
Page
Page
Page
Technical Support and Professional Services
170 CHAPTER 4. DEMONSTRATION EXAMPLES170 CHAPTER 4. DEMONSTRATION EXAMPLES