Problem-5. For the systems given below, where the input is unit step function, (a) Obtain the time responses of c₁ (t), C₂ (t), C3 (t) by the partial-fraction expansion. (b) Plot the responses in Matlab and Excel for t = 0 to 4 secs taking K₁ = 5, K₂ = 3, K3 = 17. (c) Obtain the same outputs in Simulink. (d) Write the settling time and steady state values of each response from the plots.

Elements Of Electromagnetics
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Problem-5. For the systems given below, where the input is unit step function,
(a) Obtain the time responses of c₁ (t), C₂ (t), C3 (t) by the partial-fraction expansion.
(b) Plot the responses in Matlab and Excel for t = 0 to 4 secs taking K₁ = 5, K₂ = 3, K3 = 17.
(c) Obtain the same outputs in Simulink.
(d) Write the settling time and steady state values of each response from the plots.
R(S)
C₁ (s)
R(s)
➜ G₁ =
K₁ (s + 3)
s² +8s + 15
R(s)
➜
G₁
=
K3 (s + 3)
s² + 6s +34
G₁
C₁ (s)
K₁ (s + 3)
s² +65 +9
C₁ (s)
Transcribed Image Text:Problem-5. For the systems given below, where the input is unit step function, (a) Obtain the time responses of c₁ (t), C₂ (t), C3 (t) by the partial-fraction expansion. (b) Plot the responses in Matlab and Excel for t = 0 to 4 secs taking K₁ = 5, K₂ = 3, K3 = 17. (c) Obtain the same outputs in Simulink. (d) Write the settling time and steady state values of each response from the plots. R(S) C₁ (s) R(s) ➜ G₁ = K₁ (s + 3) s² +8s + 15 R(s) ➜ G₁ = K3 (s + 3) s² + 6s +34 G₁ C₁ (s) K₁ (s + 3) s² +65 +9 C₁ (s)
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