National Instruments 370753C-01 Chapter 3 Building System Connections, Chapter 4 System Analysis, Chapter 5 Classical Feedback Analysis

Contents
Xmath Control Design Module vi ni.com
Chapter 3
Building System Connections
Linear System Interconnection Operators.....................................................................3-1
Linear System Interconnection Functions..................................................................... 3-4
afeedback( ).....................................................................................................3-4
Algorithm..........................................................................................3-5
append( ) .........................................................................................................3-6
connect( ).........................................................................................................3-8
Algorithm..........................................................................................3-10
feedback( ).......................................................................................................3-11
Algorithm..........................................................................................3-12
Chapter 4
System Analysis
Time-Domain Solution of System Equations................................................................4-1
System Stability: Poles and Zeros................................................................................. 4-2
poles( ).............................................................................................................4-3
zeros( ).............................................................................................................4-3
Algorithm..........................................................................................4-5
Partial Fraction Expansion ............................................................................................4-5
residue( ) .........................................................................................................4-8
combinepf( )....................................................................................................4-9
General Time-Domain Simulation................................................................................4-10
Impulse Response of a System......................................................................................4-13
impulse( ) ........................................................................................................4-13
deftimerange( )................................................................................................4-15
System Response to Initial Conditions..........................................................................4-16
initial( )............................................................................................................4-16
Step Response................................................................................................................4-18
step( )...............................................................................................................4-18
Chapter 5
Classical Feedback Analysis
Feedback Control of a Plant Model...............................................................................5-1
Root Locus.....................................................................................................................5-2
rlocus( ) ...........................................................................................................5-3
Frequency Response and Dynamic Response...............................................................5-5
freq( )...............................................................................................................5-5
Algorithm..........................................................................................5-6