Root Locus for 1 Real Pole, 2 Complex Conjugate Poles and 1 Real Zero
Cuthbert Nyack
Applet shows the root locus of a system with 1 real pole, 2 cc poles
and 2 cc zeros. This introduces a phenomenon shown by the
parameters (0.0, 1.0, 0.4, 0.5, 0.5, 3.5). Here 2 of the loci
start on the left of the imaginary axis, moves to the right and returns
to end on the cc zeros to the left of the imaginary axis. In this case
the system is stable for K < ~0.2 and for K > ~10.2 and
unstable in between.
Other interesting cases are:
(0.0, 0.5, 0.8, 0.75, 2.25, 0.95)
(0.0, 0.0, 1.1, 0.45, 2.3, 1.5)
(0.0, 0.5, 3.0, 3.0, 0.5, 2.0)
Gif image showing how applet should appear is shown below.
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COPYRIGHT © 2006 Cuthbert Nyack.