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

         

Critically damped

         

Tenth decay

         

Quarter decay

         

Marginal stability ("Ultimate")

         

(other)

         

(other)

         

* -- note to control engineers: remember to put units