With the transfer functions given below: (a) Find the functions maximum overshoot, Mp (b) Find the functions rise times, t, (C) Find the functions settling times, t, 40 G2 (s) %3D (s+1) (s2 + 4s + 40)'

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With the transfer functions given below:
(a) Find the functions maximum overshoot, Mp
(b) Find the functions rise times, t,
(C) Find the functions settling times, t,
40
G2 (s)
%3D
(s+1) (s2 + 4s + 40)'
120
G3 (s) =
%3D
(s+3) (s2 +4s + 40)'
20(s+2)
(s+1) (s2 + 4s + 40)'
3040 (s2 +s+ 401)
G4 (s) =
G, (s)
401
%3D
(s2+4s+40) (s2 + s+901)
Do by hand by using the time-domain specifications and the effects of zeros and additional
poles to justify your answers.
Transcribed Image Text:With the transfer functions given below: (a) Find the functions maximum overshoot, Mp (b) Find the functions rise times, t, (C) Find the functions settling times, t, 40 G2 (s) %3D (s+1) (s2 + 4s + 40)' 120 G3 (s) = %3D (s+3) (s2 +4s + 40)' 20(s+2) (s+1) (s2 + 4s + 40)' 3040 (s2 +s+ 401) G4 (s) = G, (s) 401 %3D (s2+4s+40) (s2 + s+901) Do by hand by using the time-domain specifications and the effects of zeros and additional poles to justify your answers.
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