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Second order system has a damping ratio & and undamped natural frequency of oscillation on respectively. The settling time at 5% of tolerance band of the system is:
(3) 2/(xi*omega*n)
(c) 3/(xi*on)
(b) 4 xi on
(d) 5/(xi*omega*n)?
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Second order system has a damping ratio & and undamped natural frequen...
Settling Time Calculation for Second Order System

Given:
- Damping ratio (ξ)
- Undamped natural frequency of oscillation (ωn)

Formula for Settling Time (Ts):
Ts = 4 / (ξ * ωn)

Explanation:
- The settling time of a second-order system is a measure of how quickly the system reaches a steady-state after a disturbance.
- It is given by the formula Ts = 4 / (ξ * ωn), where ξ is the damping ratio and ωn is the undamped natural frequency of oscillation.
- The settling time is inversely proportional to both the damping ratio and the undamped natural frequency of oscillation.
- A higher damping ratio or undamped natural frequency of oscillation will result in a faster settling time.
- The settling time is commonly defined as the time it takes for the system's output to stay within a 5% tolerance band of the final value after a step input.
Therefore, the correct answer is:
(d) 5 / (ξ * ωn)
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Second order system has a damping ratio & and undamped natural frequency of oscillation on respectively. The settling time at 5% of tolerance band of the system is:(3) 2/(xi*omega*n)(c) 3/(xi*on)(b) 4 xi on(d) 5/(xi*omega*n)?
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