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Please see the attached file for the full problem description.
A plant has a transfer function
It is desired to use a negative unity feedback with a PID controller and a prefilter. The goal is to achieve a peak time of .75 second with ITAE-type performance. Compute the gains required to meet the design specification, , , .
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This solution is provided in 163 words in an attached .doc file. It uses a closed loop transfer function to find the answer to the problem step-by-step.
Please see the attached file.
Well, we have:
and we want to use this controller:
In that case the closed loop transfer function (before applying the prefilter) would be:
Ok, we want two things:
The peak time and the ITAE ...