PI Control Step Response and Bode Plot for 1PT0

Cuthbert Nyack
Applet shows the frequency response(Bode plot) of a first order type 0 system with PI control.

The eg parameters (5.0, 1.0, 2.0, 1.0, 1.0) show a reasonable step response. Parameters (1.0, 1.0, 0.1, 1.0, 1.0) show what happens when Ti < T1, phase drops below 90° and is ~ a minimum at |gain| = 1. The parameters (1.0, 1.0, 1.0, 1.0, 1.0) mean that the zero of the controller cancel the pole of the system leaving the pole of the controller at 0. What remains has the dynamics of an integrator.

Gif image below show how the applet should appear.

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COPYRIGHT 2006 Cuthbert Nyack.