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A unity feedback system has open-loop T.F. is G(s) = {25/ [s (s + 6)]}. The peak overshoot in the step-input response of the system is approximately equal to—
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- 5%
- 10%
- 15%
- 20%
- 5%
Correct Option: B
| Given G(s) = | , H(s) = 1 | |
| s(s + 6) |
the C.E. = 1 + G(s) H(s) = 0
= 1 + 25/s(s + 6) · 1 = 0
= s2 + 6s + 25 = 0
Here, ω2n = 25
⇒ ωn = ± 5
2ξωn = 6
or ξ = 6/2 × 5 = ·6
Now,% maximum overshoot, MP
e-πξ/√1-(0.6)2×100
e-0.6π/√1-(0.6)2×100
= 10%
