a) What is the transfer function of the system if the system output for unit step inpu is like the function below F(s)? 4 F(s) = s(s2 +2.4s + 4) b) According to a) what are the initial conditions, of the system? c) Find the system response for unit step input in the time domain.

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a) What is the transfer function of the system if the system output for unit step input is like the function below F(s)? F(s) = 4/(s(s2 + 2.4s + 4))

Could you please solve this part 'a)'using partial fraction decomposition with "complex roots": A/s + B/(s+1.2+1.6j) + C/(s+1.2-1.6j) Then, after finding B and C values, please convert B and C to POLAR FORM!!! (IMPORTANT), then please solve the rest part using polar form of B and C.

b) According to a) what are the initial conditions, of the system?

c) Find the system response for unit step input in the time domain.

d) Final value theorem is applicable? If so, apply the final value theorem and find the final value of the system response for both the system transfer function and the system response in time domain.

Q1)
a) What is the transfer function of the system if the system output for unit step input
is like the function below F(s)?
4
F(s) =
s(s² + 2.4s + 4)
b) According to a) what are the initial conditions, of the system?
c) Find the system response for unit step input in the time domain.
d) Final value theorem is applicable? If so, apply the final value theorem and find
the final value of the system response for both the system transfer function and
the system response in time domain.
Transcribed Image Text:Q1) a) What is the transfer function of the system if the system output for unit step input is like the function below F(s)? 4 F(s) = s(s² + 2.4s + 4) b) According to a) what are the initial conditions, of the system? c) Find the system response for unit step input in the time domain. d) Final value theorem is applicable? If so, apply the final value theorem and find the final value of the system response for both the system transfer function and the system response in time domain.
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