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.