Question:
If the characteristic equation of a closed-loop system is \( s^2 + 2s + 2 = 0 \), then the system is
If the characteristic equation of a closed-loop system is \( s^2 + 2s + 2 = 0 \), then the system is
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When analyzing the characteristic equation, if the discriminant is negative, the system will be underdamped and will have oscillatory behavior.
Updated On: May 5, 2025
- Overdamped.
- Critically damped.
- Undamped.
- Underdamped.
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The Correct Option is D
Solution and Explanation
The given characteristic equation \( s^2 + 2s + 2 = 0 \) has a negative discriminant, indicating the presence of complex conjugate poles. This indicates that the system is underdamped. An underdamped system oscillates and eventually decays, but it does not exhibit a slow decay as in the overdamped case.
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