Filter coefficient (N) in PID block?

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Robert
Robert 2013-2-17
评论： Sam Chak 2025-7-20
Good evening folks!
While tuning my quadrotor model in Matlab I found that the Matlab PID function had a Filter coefficient (N) term in the PID equation. However I have not encountered such a term in my typical PID programs. How would one implement this term into the PID equation and what would be some simple C code to add this term into the derivative? I tried generating C code from my model but got a lot of header and C program files with nothing close to simple.
My current PID code line in C is:
U2 = KP * phi_error + KI * phi_errorsum + KD * (PHI_RATE_desired-PHI_RATE);
Many Thanks, Robert

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采纳的回答

Arkadiy Turevskiy
Arkadiy Turevskiy 2013-3-12
The code would look like that.
FilterCoefficient = (Kd * u - Filter_DSTATE) * N;
y = (Kp * u + Integrator_DSTATE) + FilterCoefficient;
Integrator_DSTATE += Ki * u * 0.01;
Filter_DSTATE += 0.01 * FilterCoefficient;
HTH.
Arkadiy
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Marzieh Hosseini
Marzieh Hosseini 2021-5-6
Hi,
Is it the same code if I want to implement PID in Matlab code, while I am controlling a device directly with Matlab and I got real time information in my Matlab?
Andre Elliot
Andre Elliot 2023-5-15
Hi what are u, N, y and the meaning of DSTATE? nice day.

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更多回答（4 个）

Shashank Prasanna
Shashank Prasanna 2013-2-17
Hi Robert, this link should give you a better idea of what N means:
http://www.mathworks.com/help/simulink/slref/pidcontroller.html#br9ejg0-18
If you have Simulink Control Design toolbox, then you can use the built in pidtune functionality to tune the PID.
  1 个评论
Brian Candiloro
Brian Candiloro 2023-1-13
Can this filter term be realized in a physical opamp differentiator circuit or only in code?

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Robert
Robert 2013-2-17
Thank you for the response, but I saw that link and do not quite understand it entirely, especially the filter block.
So in essence should the code look something like this:
Derivative PID:
Derivative_gain*(set_rate - N*acutal_rate)?
I am not quite sure where the filter (1/s) comes into play.
Thank you
Robert
Robert 2013-2-21
Any ideas?
  1 个评论
Seng Tak Goh
Seng Tak Goh 2019-3-11
Hi Robert,
In essence, the filtered derivative is doing a first order filtering on the change of the inputs, scaled by D gain.
The 1/s integrates the previous output scaled by N term, then adding the input change scaled by D * N to produce the output.
If you multiply the D term of the continuous form by s, you will see it better how the filtering comes into play.
In discrete form:
y[n] = D*N*(u[n]-u[n-1]) + (1-N*Ts)*y[n-1];

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stanley
stanley 2025-7-20
filter coffiect
  2 个评论
stanley
stanley 2025-7-20
PID Block → Filter Coefficient
Sam Chak
Sam Chak 2025-7-20
Hi @stanley, What exactly is your question on the derivative filter coefficient of the PID Controller?

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