Step and Ramp Response Sampled 1st Order Type 1

Cuthbert Nyack
Applets show the step and ramp response of a first order, type 1 system. The continuous system is always stable.

The sampled system is described by the closed loop transfer function
with difference equation
The pole of the sampled system is shown by the eqn below and the system may become unstable if the closed loop pole moves out of the unit circle.

The output is given by the following eqn.




Ramp response is shown below. The output is given by the following eqn.




Gif images below show how the applets should appear.

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COPYRIGHT 2006 Cuthbert Nyack.