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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
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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

User CNSivakumar
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1 Answer

5 votes

Answer:

(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%

User Nitish Pareek
by
5.3k points
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