Lag Compensator Second Order Type 1, Ramp Response
Cuthbert Nyack
The applet here show the step and ramp response of a type 1 second
order system with Lag Compensation.
The continuous system is discretised by the bilinear transform to get D(z) and a ZOH transformation of the
system transfer function.
eg parameters (20.0, 0.5, 10.0, 1.0, 0.01, 0.2, 1.0) show the response of the uncompensated system.
eg parameters (20.0, 0.5, 10.0, 10.0, 0.1, 1.0, 1.0) show the response
with lag compensation and reasonable
agreement between the continuous and discrete systems.
eg parameters (20.0, 0.5, 10.0, 10.0, 1.0, 5.0, 1.0). Significant
damped oscillation on the discrete response.
eg parameters (20.0, 0.8, 10.0, 10.0, 1.21, 5.0, 1.0). Discrete system
oscillatory.
eg parameters (20.0, 1.5, 10.0, 10.0, 1.51, 5.0, 1.0). Discrete system
unstable with growing oscillation.
Because of the slowing down effect of the lag compensator, this system can have larger sampling times than the system with the lead compensator.
Gif image below show how the applet should appear.
Return to main page
Return to page index
COPYRIGHT © 2006 Cuthbert Nyack.