Overshoot for an underdamped system is defined as the maximum displacement of the system at the end of its first half cycle. what is the minimum damping ratio for a system such that it is subject to no more than 5% overshoot?

Explanation:

We have given no more than 5% overshoot

So maximum overshoot = 5 % =0.05

Maximum overshoot is given by

Here is the damping ratio

We know that

So

So

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explanation: