How to tune PID controller from time constant and static gain?

Hi!

I would like to find the parameters of a PID controller (Kp, Ki, Kd) from the time constant and static gain of a transfer function.

Is there any method/equation for quick calculation of these parameters?

This is the transfer function:

Could it be like this?

Ki = 72.4 / 639.2

Kd = 72.4 * 639.2

Kp = 72.4

thanks so much

Answer 1

[Sam Chak]

@Bruno Araujo, Not sure if you are looking for some manipulations like this:

Kp = 72.402;
Tp = 639.24;
Gc = pid(Kp)

Gc =
 
  Kp = 72.4
 
P-only controller.

Gf = tf([1], [Tp 1])

Gf =
 
       1
  -----------
  639.2 s + 1
 
Continuous-time transfer function.

Gcf = series(Gc, Gf)

Gcf =
 
     72.4
  -----------
  639.2 s + 1
 
Continuous-time transfer function.

[Bruno Araujo]

@Sam Chak Hi Sam, sorry for the delay to answer you!

Thank you for your answer, but it was not what I was looking for!

Actually I could find it some days later: i was search the called "direct synthesis", with which I can direct find the paramers for the PID based on a tf.