Bode and Steps

The questions below are due on Friday April 17, 2020; 10:00:00 AM.
 
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To review the relationship between open-loop frequency response and closed-loop step responses, consider the following Bode plots of open-loop systems, H(s), and the step responses of closed-loop systems,

\frac{Y(s)}{X(s)} = \frac{H(s)}{1 + H(s)},
as shown in the feedback block diagram below.

Please match the bode plot of H(s) with the step response of \frac{H(s)}{1+H(s)}. In order to find matches, consider what step response features such as overshoot and oscillation period indicate about the closed-loop transfer function, what Bode plot features like changes in slope indicate about the open-loop transfer function, and most importantly, what phase margin in the open-loop bode plot indicates about the closed-loop behavior.

Bode plot A corresponds to step response:

Bode plot B corresponds to step response:

Bode plot C corresponds to step response:

Bode plot D corresponds to step response:

Bode plot E corresponds to step response: