In second order underdamped system ?
Correct answer: B. Decay ratio = (overshoot)2
- A. Decay ratio = overshoot
- B. Decay ratio = (overshoot)2
- C. Overshoot increases for increasing damping co-efficient
- D. Large damping co-efficient means smaller damping
Explanation
For an underdamped second-order system, successive peak amplitudes have a decay ratio equal to exp[-2πζ/√(1−ζ²)], while the fractional overshoot is exp[-πζ/√(1−ζ²)]. Therefore, the decay ratio equals the square of the overshoot fraction.
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