Applet shows root locus of a system with 2 pairs of complex conjugate poles. There are 4 asymptotes at ±45° and ±135°.

Parameters (0.0, 1.0, 0.05, 1.0, 0.0, 2.0) show a system with 2 cc poles at -1 ± j0.05 and at -1 ± j0.0 which is stable for K < 4. This is almost equivalent to system with 4 real poles at -1.

Parameters (0.0, 1.0, 3.0, 1.0, 0.3, 1.0) show a system with 2 cc poles at -1 ± j3 and at -1 ± j0.3 which is stable for K < 42.

Parameters (0.0, 1.0, 1.0, 1.0, 1.0, 2.0) show a system with 2 cc poles at -1 ± j1 and at -1 ± j1 which is stable for K < 8.

Parameters (0.0, 1.0, 2.0, 1.0, 0.0, 2.0) show a system with 2 cc poles at -1 ± j2 and at -1 ± j0 which is stable for K < 16. From these parameters the appearance of the locus changes when the real part of either pair is increased or decreased.

Gif image illustrating how applet should appear is shown below.

COPYRIGHT © 2006 Cuthbert Nyack.