PID Control 3P T1T2T3 Step Response and Root Locus

Cuthbert Nyack
Applet shows the root locus of a third order type 0 system with PID control.

The parameters eg (0.0, 1.0, 1.0, 1.0, 1.0, 33.0, 0.0) show the root locus of the P control system. Changing to eg (0.0, 1.0, 1.0, 1.0, 1.0, 0.5, 0.0) introduces I control with a pole at 0 and a zero at -2. Changing to eg (0.0, 1.0, 1.0, 1.0, 1.0, 0.8, 0.2) adds D control to give PID with 2 zeros at -2.5. The parameters eg (0.0, 1.0, 1.0, 1.0, 1.0, 0.8, 0.5) show the locus pulled to the left of the imaginary axis by the complex conjugate PID zeros. eg parameters (2.0, 1.0, 1.0, 1.0, 1.0, 2.4, 0.6) give a reasonable response, but the poles move vertically.



Gif image below show how the applet should appear.

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COPYRIGHT 2006 Cuthbert Nyack.