Applet shows the root locus of a first order type 0 system with PI control.

The eg parameters (0.0, 1.0, 2.0, 1.0) show the characterictic root locus with one zero(-0.5) between 2 poles(0.0, -1.0). The parameters (6.5, 1.0, 2.0, 1.0) show the closed loop step and frequency response. (closed loop poles ~-0.5 ~ -7). The eg parameters (0.0, 1.0, 0.25, 1.0) show the characteristic root locus when the zero(-4) is to the left of the poles(0.0, -1.0)(the portion of the locus off the real axis is a circle of radius 3.46 centered at -4) and the eg (7.0, 1.0, 0.25, 1.0) show the unit step and frequency response when the closed loop poles are complex conjugate at ~-4 ± ~j3.46).

Gif image below show how the applet should appear.

COPYRIGHT © 2006 Cuthbert Nyack.