1. Given the following transfer function: Y(s) s+2 = G(s): = X(s) s²+2s +3 a. What are the zeros of G(s)? b. What are the poles of G(s)? c. G(s) is a 2nd order system; what are the damping ratio and natural frequency wn?

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1. Given the following transfer function:
Y(s)
s+2
= G(s) =
X(s)
s² +2s +3
a. What are the zeros of G(s)?
b.
What are the poles of G(s)?
c. G(s) is a 2nd order system; what are the damping ratio and natural frequency wn?
d.
Would the system step response be oscillatory? Discuss why or why not.
e. What is the DC gain (or simply the gain) of the transfer function G(s)?
f. What is the output steady state value Yss when the input is a unit step function?
What is the steady state error for above case?
g.
Transcribed Image Text:1. Given the following transfer function: Y(s) s+2 = G(s) = X(s) s² +2s +3 a. What are the zeros of G(s)? b. What are the poles of G(s)? c. G(s) is a 2nd order system; what are the damping ratio and natural frequency wn? d. Would the system step response be oscillatory? Discuss why or why not. e. What is the DC gain (or simply the gain) of the transfer function G(s)? f. What is the output steady state value Yss when the input is a unit step function? What is the steady state error for above case? g.
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