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.