PD Control Second Order Type 1 Step and Ramp response

Cuthbert Nyack
The applets here show the step and ramp response of a type 1 second order system with PD control.
The continuous system is discretised by a back difference approximation to the derivative and a ZOH transformation of the system transfer function.
eg parameters (5.0, 3.0, 0.8, 0.1, 1.0, 1.0). Reasonable agreement between continuous and discrete system.
eg parameters (5.0, 3.0, 0.8, 0.5, 3.0, 1.0). Significant damped oscillation on discrete response.
eg parameters (9.6, 3.0, 0.8, 0.5, 3.0, 1.0). Discrete system oscillatory.
eg parameters (10.5, 3.0, 0.8, 0.5, 3.0, 0.1). Discrete system unstable with growing oscillation.






Gif images below show how the applets should appear.

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COPYRIGHT 2006 Cuthbert Nyack.