Question

A second onder system with damping ratio of 0.4 on a unit-step input will produce a maximum overshoot of a bout (A) 25% (B) 45% (C) 65% (D) 85% (E) none of above

Answer 1

(a) 25%

Step-by-step explanation:

It is given that damping ratio
`\zeta =0.4`

The maximum peak overshoot
`M_P` is given by
`M_P=e^(-\pi \zeta )/(√(1-\zeta ^2))`

So
`M_P=e^(-3.14* 0.4)/(√(1-0.4^2))=0.2538=25.28` % which is nearly equal to the 25 % so the option (a) will be the correct option as in option (a) it is given that maximum peak overshoot is 25%