Root Locus for 2 Complex Conjugate Poles and 2 Complex Conjugate Zeros

Cuthbert Nyack
Applet shows root locus of a system with 2 pairs of complex conjugate poles and 1 pair of complex conjugate zeros. There are 2 asymptotes at ±90°.


Parameters (0.0, 1.65, 1.05, 0.5, 0.5, 1.0, 3.0, 1.0) illustrate the locus of a system with cc poles at -1.65 ± j1.05, -0.5 ± j0.5 and 2 cc zeros at -1.0 ± j3.0. This system is stable for K < 1.0 and for K > 24.6.


Parameters (0.0, 1.3, 0.3, 0.7, 0.3, 1.0, 1.5, 1.0) illustrate the locus of a system where the real part of the zeros is equal to the asymptote. This system is always stable because the loci never cross the imaginary axis.





Gif image illustrating how applet should appear is shown below.

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COPYRIGHT 2006 Cuthbert Nyack.