LagLead 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 LagLead 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, 1.5, 8.0, 1.0, 0.01, 0.1) show the
continuous and sampled response of the uncompensated system.
eg parameters (20.0, 0.5, 1.5, 8.0, 10.0, 0.1, 1.0) show the response
with laglead compensation and reasonable
agreement between the continuous and discrete systems.
eg parameters (20.0, 0.5, 1.5, 8.0, 10.0, 0.4, 3.0). Significant
damped oscillation on the discrete response.
eg parameters (20.0, 0.5, 1.5, 8.0, 10.0, 0.51, 3.0). Discrete system
oscillatory at ~ 0.36 of the sampling frequency.
eg parameters (20.0, 0.5, 1.5, 8.0, 10.0, 0.6, 5.0). Discrete system
unstable with growing oscillation.
Gif image below show how the applet should appear.
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COPYRIGHT © 2006 Cuthbert Nyack.