The unit step response of the transfer function 1/(s2 + 2s + 3) _______________________?
Correct answer: B. Has a damped oscillatory characteristics
- A. Has a non-zero slope at the origin
- B. Has a damped oscillatory characteristics
- C. Is overdamped
- D. Is unstable
Explanation
The characteristic equation has natural frequency √3 and damping ratio 1/√3, which is less than 1. Therefore, the unit-step response is underdamped and exhibits damped oscillations, not overdamped or unstable behaviour.
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