How to interpret negative D term from PID tuner?

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Hello:
I have been using the Simulink PID tuner to tune a controller (both continuous time and discrete time) and I noticed that the D term ends up being negative. The plant that is being controlled is a linear system and it is 3rd order (servo motor for a hard disk read/write head).
From my understanding the purpose of the derivative action in PID is to predict the error of the control system ahead by time Td (Td should be proportional to the D term in the PID tuner), which improves the stability of the control system. Therefore I was wondering how would you go about and interpret how a negative Td predicts the error? Any help is always much appreciated.
Thanks!

Accepted Answer

Arkadiy Turevskiy
Arkadiy Turevskiy on 5 Jun 2012
Edited: Arkadiy Turevskiy on 3 Mar 2015
This section of the doc answers your question (please scroll down to the bottom of the page).
HTH.
Arkadiy
  1 Comment
Chamira
Chamira on 5 Jun 2012
Thank you Arkadiy. I really appreciate your help!
Best regards,
Chamira.

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