# System Peak Time and Overshoot

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Please see the attached file for full problem description. I am not too sure how to go about solving this question. Any help would be appreciated.

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This solution is comprised of a full step-by-step explanation as it pertains to this systems engineering question. Reasoning is also provided to further explain the answer. In order to view the solution, an attachment needs to be opened (Word document).

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Please see the attached file.

We consider the controller:

Now the closed loop transfer function is:

Where

Then we will have:

Ok, what we want is:

This contains the dominant poles. Now we do this:

We want to find the unknown coefficients ...

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