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370753C-01 manual
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157 pages, 1.22 Mb
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NI MA
TRIXx
TM
Xmath
™
Control Design Module
Xmath Control Design Module
April 2007
370753C-01
Contents
Main
Page
Important Information
Warranty
Copyright
Trademarks
Patents
Conventions
Contents
Chapter 1 Introduction
Chapter 2 Linear System Representation
Chapter 3 Building System Connections
Chapter 4 System Analysis
Chapter 5 Classical Feedback Analysis
Chapter 6 State-Space Design
Page
Introduction
Using This Manual
Document Organization
Bibliographic References
Commonly Used Nomenclature
Related Publications
MATRIXx Help
Control Design Tutorial
Helicopter Hover Problem: An Ad Hoc Approach
Use check( ) to convert the model to transfer-function form:
Page
Page
Page
Page
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Page
Page
Helicopter Hover Problem: State Feedback and Observer Design
Page
Page
Page
Page
Helicopter Hover Problem: Discrete Formulation
Page
Inverted Wedge-Balancing Problem: LQG Control
Page
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Linear System Representation
Linear Systems Represented in Xmath
Transfer Function System Models
Page
Page
State-Space System Models
Basic System Building Functions
system( )
Page
abcd( )
form. If the system is a transfer function, the conversion to state-space is
Page
numden( )
period( )
names( )
Size and Indexing of Dynamic Systems
Using check( ) with System Objects
Discretizing a System
discretize( )
Numerical Integration Methods: forward, backward, tustins
Pole-Zero Matching: polezero
Z-Transform: ztransform
Hold Equivalence Methods: exponential and firstorder
Page
makecontinuous( )
Page
Page
Building System Connections
Linear System Interconnection Operators
Page
Page
Linear System Interconnection Functions
afeedback( )
Page
append( )
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connect( )
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feedback( )
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Page
System Analysis
Time-Domain Solution of System Equations
System Stability: Poles and Zeros
poles( )
zeros( )
Page
Partial Fraction Expansion
Page
Page
residue( )
combinepf( )
General Time-Domain Simulation
Page
Page
Impulse Response of a System
impulse( )
Page
deftimerange( )
System Response to Initial Conditions
initial( )
Page
Step Response
step( )
Page
Page
Classical Feedback Analysis
Feedback Control of a Plant Model
Root Locus
rlocus( )
Page
Frequency Response and Dynamic Response
freq( )
Page
Bode Frequency Analysis
Page
Page
bode( )
Page
margin( )
Page
nichols( )
Nyquist Stability Analysis
nyquist( )
Page
Page
Page
Linear Systems and Power Spectral Density
psd( )
Page
State-Space Design
Controllability
Page
controllable( )
Observability and Estimation
Page
observable( )
Minimal Realizations
minimal( )
stair( )
Duality and Pole Placement
poleplace( )
Page
Linear Quadratic Regulator
Page
regulator( )
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Linear Quadratic Estimator
Page
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estimator( )
Linear Quadratic Gaussian Compensation
Page
lqgcomp( )
Page
Riccati Equation
riccati( )
The small residue indicates that the problem was well posed and the solution is reliable.
A'PA PA'PB S+()RB'PB+()
Steady-State System Response Using Lyapunov Equations
Page
lyapunov( )
Discrete Lyapunov Equation
Continuous Lyapunov Equation
Special Lyapunov Equation
rms( )
Balancing a Linear System
Page
balance( )
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Modal Form of a System
modal( )
mreduce( )
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Page
A
Technical References
Page
B
Technical Support and Professional Services
Page
Index
A
B
C
D
E
F
G
H
I
K
L
M
N
O
P
Q
R
S
T
U
W
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