Contents
© National Instruments Corporation vii Xmath Interactive Control Design Module
Chapter 5Root Locus Synthesis
Overview........................................................................................................................5-1
Window Anatomy..........................................................................................................5-1
Opening the Root Locus Synthesis Window.................................................................5-3
Terminology...................................................................................................................5-3
Plotting Styles................................................................................................................5-4
Phase Contours................................................................................................5-5
Magnitude Contours........................................................................................5-5
Slider and Plot Ranges.....................................................................................5-6
Manipulating the Parameters.........................................................................................5-6
Design............................................................................................................................5-7
Adding a Pole-Zero Pair..................................................................................5-7
Deleting Pole-Zero Pairs.................................................................................5-7
Interpreting the Nonstandard Contour Plots....................................................5-8
Chapter 6Pole Place Synthesis
Window Anatomy..........................................................................................................6-1
Pole Place Modes...........................................................................................................6-2
Normal Mode...................................................................................................6-3
Integral Action Mode......................................................................................6-4
State-Space Interpretation............................................................................... 6-5
Opening the Pole Place Window.....................................................................6-5
Manipulating the Closed-Loop Poles............................................................................6-5
Time and Frequency Scaling...........................................................................6-5
Butterworth Configuration..............................................................................6-6
Editing the Closed-Loop Poles........................................................................6-6
Slider and Plot Ranges.....................................................................................6-6
Chapter 7LQG Synthesis
LQG Synthesis Window Anatomy................................................................................7-1
Synthesis Modes............................................................................................................7-3
Opening the LQG Synthesis Window.............................................................7-3
Setup and Terminology...................................................................................7-4
Standard LQG (All Toggle Buttons Off).........................................................7-4
Integral Action.................................................................................................7-5
Exponential Time Weighting ..........................................................................7-5
Output Weight Editing....................................................................................7-6
State-Space Interpretation............................................................................... 7-7