Lead Compensator Second Order Type 1, Ramp Response

Cuthbert Nyack

The applets here show the step and ramp response of a type 1 second order system with Lead 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, 0.3, 0.12, 0.03, 0.2, 1.0). Reasonable agreement between continuous and discrete system.
eg parameters (20.0, 0.5, 0.7, 0.12, 0.03, 0.2, 1.0). Significant damped oscillation on discrete response.
eg parameters (20.0, 0.5, 0.67, 0.12, 0.08, 0.2, 1.0). Discrete system oscillatory.
eg parameters (20.0, 0.5, 0.55, 0.12, 0.11, 0.9, 1.0). Discrete system unstable with growing oscillation.

Gif images below show how the applets should appear.

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