Contents
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National Instruments Corporation
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Xmath Interactive Control Design Module
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
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
Time and Frequency Scaling ...........................................................................6-5
Butterworth Configuration ..............................................................................6-6
Editing the Closed-Loop Poles........................................................................6-6
Slider and Plot Ranges.....................................................................................6-6
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