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    Compute the gains

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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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    Solution Preview

    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 ...

    Solution Summary

    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.