Filter coefficient (N) in PID block?

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

 采纳的回答

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

4 个评论

Robert
Robert 2013-3-12
编辑:Robert 2013-3-12
Awesome!
Why are Filter_DSTATE and Integrator_DSTATE scaled by 0.01?
Thank you!! Robert
0.01 is the sampling time I specified in the block before generating code. You can set the sampling time to whatever you want and the code will of course be updated accordingly.
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?
Hi what are u, N, y and the meaning of DSTATE? nice day.

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更多回答(4 个)

Hi Robert, this link should give you a better idea of what N means:
If you have Simulink Control Design toolbox, then you can use the built in pidtune functionality to tune the PID.

1 个评论

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

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

PID Block → Filter Coefficient
Hi @stanley, What exactly is your question on the derivative filter coefficient of the PID Controller?

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