An
Integral Control Problem
Problem
PID2IP01
Dr. Abner Mallity is in dire straits. Here is the problem.
The aircraft control system does not work to the satisfaction of the Antique
Airplane Company. In particular, their evaluation is as follows.
-
"For the aircraft control
system proposed by Dr. Mallity, it is not possible to obtain both good
accuracy and acceptable response in the system simply by adjusting the
proportional gain. In particular:
-
When the accuracy is good
- i.e. small SSE - then there is excessive overshoot.
-
When the overshoot is
not too large, then the SSE is too large."
There is a simulator they wrote before they left that you can get to by
clicking
here.
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Is the steady state error
predictable?
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SSE is a function of gain.
Does the SSE behave the way you expect? You will need to check at
least 3 (preferably more) values of gain, compute SSE and compare results
with predictions.
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Does the system behave
as you expect? Comment on the following.
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Response in general.
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Rise time.
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Percent Overshoot.
-
Relate performance to
pole location. In turn, pole location is a function of the proportional
gain that you use. In other words, you need to relate how the system
performs to where the poles are located on the root locus.
If you want a hard copy of the data after you run a simulation, highlight
the simulator window by clicking in it, and then hit "Alt + Print Screen".
That puts a copy of the picture on the clipboard, and you can paste that
into any application that accepts pictorial data.
After
you have done the study above, you need to investigate performance using
integral control.