tuning formula for PT1 control path

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I have a control path with PT1 behavior. However all the formulas for
controller tuning (Ziegler-Nichols, Chien-Hrones-Reswick) assume the
approximation for a deadtime of the system.
When setting Tu:=0 some constants become infinite with the existing rules.

Can anybody guide me to some tuning formulas that work for a PT1 path
(given K and T)?

pb

Re: tuning formula for PT1 control path



Peter Bencsik wrote:

PT1?

You left out Astrom-Hagglund tuning, which is a variant of
Ziegler-Nichols that's supposed to give better damping.

--

Tim Wescott
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Re: tuning formula for PT1 control path



Tim Wescott schrieb:

I mean a first-order-no-delay model.

In all reports and books I have found first-order-plus-delay models but
no clues how to handle the case with zero delay.

pb


Re: tuning formula for PT1 control path




Peter Bencsik wrote:

So what it Tu?   That can't be right.  Something is wrong.


That confused me too.  I wish people would define their symbols and not
assume we all use the same ones.


That is strange normally it is the other way around.  You need better
books.

Look at www.controlguru.com.  There are FOPDT gain calculation formulas
there that will work when the dead time is 0.

BTW, it is easy to derive Kc and Ti in terms of Kp, Tp and Tc using
direct synthesis or pole placement.   If that isn't in your books then
you do need new books.

Peter Nachtwey

Almost forgot
Kp = plant gain
Tp = plant time constant
Tc = closed loop time constant
Kc = controller gain
Ti = integrator time constant


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