Phase Lag Optimal Control.
This applet shows a second order system with phase lag compensator.
J can be used to attempt to find optimal values of TG and
To get an acceptable transient response, m
may also have to be adjusted.
One possible set of parameters is shown below. It uses
m = 0.4, fixes TG = 10.0 and varies
b to get a minimum at b = 12.7.
(20.0, 0.4, 0.5, 10.0, 12.7, 1.0, 1.0) J = 0.930028 and the phase
margin of the system is 52.59°.
Starting with TG = 6.0 gives a minimum J for b = 12.6, fm
= 49.77°. With TG = 16.0, b = 12.8, fm
With m = 1.0 and starting with TG = 10.0
gives a minimum J = 1.342245 for b = 20.3 with fm
With m = 0.3 and starting with TG = 10.0
gives a minimum J = 0.835238 for b = 10.9 with fm
For Comparison the Phase Lag applet is shown below.
Gif images below shows how applets should appear.
Return to main page
Return to page index
COPYRIGHT © 2006 Cuthbert Nyack.