Root Locus and Magnitude Condition of 3 Real Poles and 1 Real Zero
In the applet below, the red-blue boundary shows the magnitude
condition, and the closed loop poles can be found by locating
the point on the magnitude condition where the angle condition
is also satisfied.
For parameters (1.5, 1.0, 0.5, 4.0, sr, si), the closed loop poles
for K = 4 can be found by agjusting sr, si until the angle
condition is satisfied. f = -180.2°
for sr = -0.59, si = 1.51. f = -540°
for sr = ~-1.824, si = 0.0. The closed loop poles are at ~-1.824,
~-0.59 ± ~j1.51 for K = 4.
Gif image showing how applet should appear is shown below.
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COPYRIGHT © 2006 Cuthbert Nyack.