For the type 1, second order system, the value of peak overshoot Mp is:

1
\({e^{ - \frac{{\zeta \pi }}{{\sqrt {1 - {\zeta ^2}} }}}}\)
2
\({e^{ - \frac{\pi }{{\sqrt {1 - {\zeta ^2}} }}}}\)
3
\({e^{ - \frac{\zeta }{{\sqrt {1 - {\zeta ^2}} }}}}\)
4
\({e^{ - \frac{{{\zeta ^2}\pi }}{{\sqrt {1 - \zeta } }}}}\)
5
\({e^{ - \frac{{\zeta \pi }}{{\sqrt {1 - {\zeta }} }}}}\)
5
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