User manual

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