Chattanooga Control Systems Associates
MEMO
Date: ___________________
To: ______________ System Engineers
From: _____________Team of Control Engineers
Subject: Tuning parameters for your control system
Greetings,
We have done the experiments, analysis and modeling for your system with proportional feedback control. We have looked at the situation where you wish to operate consistently and safely as some set point and then wish to change the set point to another value and have the system respond quickly, consistently and safely. In our investigations, we have taken the initial set point to be ___________* and that the set point will be changed by a step of __________*.
Below are the recommendations for the variety of responses that we studied.
Using traditional Ziegler-Nichols tuning formulas, for quarter decay, based on "Fit 1" parameters we recommend
Kc = ________*
To obtain the initial set point, we recommend a "bias" or "Input baseline" of _________.* Please be aware that with any proportional controller, there will be offset. For this Kc, we estimate the offset to be __________*.
We also found values of the controller tuning parameter, Kc, by modeling the time response for various values of the controller gain. Here is a table of the various time responses, our recommended Kc and other aspects of the response. For all cases, the "Input baseline" should be the same as above.
|
Description of response |
Recommended Kc |
Our predicted decay ratio |
Our predicted offset |
Our predicted oscillation frequency |
Our predicted time to settle out |
|
units |
* |
(dimensionless) |
* |
* |
* |
|
Over damped |
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Critically damped |
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|
Tenth decay |
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|
Quarter decay |
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|
Marginal stability ("Ultimate") |
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|
(other) |
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|
(other) |
* -- note to control engineers: remember to put units