An underdamped second order system forward transfer function is given as: 3a + b + 2d + e G(s) = s2 + as + (3a + b + 2d + e) Answer the following questions: Manual Calculation Find the poles of the system and sketch it in an s-plane. Determine the natural frequency and damping ratio of G(s). Find the peak time, Tp, percent overshoot, %OS, settling time, Ts, and rise time, T, under unit step input.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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An underdamped second order system forward transfer function is given as:
3a + b + 2d +e
G(s) =
s2 + as + (3a + b + 2d + e)
Answer the following questions:
Manual Calculation
Find the poles of the system and sketch it in an s-plane.
Determine the natural frequency and damping ratio of G(s).
Find the peak time, Tp, percent overshoot, %OS, settling time, Ts, and rise time, T,
under unit step input.
Transcribed Image Text:An underdamped second order system forward transfer function is given as: 3a + b + 2d +e G(s) = s2 + as + (3a + b + 2d + e) Answer the following questions: Manual Calculation Find the poles of the system and sketch it in an s-plane. Determine the natural frequency and damping ratio of G(s). Find the peak time, Tp, percent overshoot, %OS, settling time, Ts, and rise time, T, under unit step input.
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