C(s) R(s) G1 G2 G3 G4 H2 H1 Figure Q2 a) Show that its transfer function is : R(s). C(s) 1+G,G,H +G,G,H, +G,G,G,G, G,G,G,G,

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C(s)
R(s)
GI
G2
G3
G4
H2
H1
Figure Q2
a)
Show that its transfer function is :
R(s).
C(s) 1+G,G,H, +G,G,H, +G,G,G,G,
G,G,G,G,
(17
b)
The above system was modelled and found to have the transfer function
R(s)
C(s) s' +8s² +6s +12K
12K
i)
Use the Routh Array to determine the range of
gains K for which the system is stable.
ii)
Find the steady-state output R(t) if K=5 and the input is
a ramp of slope 2.
You are given the final value theorem : y(t), . = s.y(s)20
Transcribed Image Text:C(s) R(s) GI G2 G3 G4 H2 H1 Figure Q2 a) Show that its transfer function is : R(s). C(s) 1+G,G,H, +G,G,H, +G,G,G,G, G,G,G,G, (17 b) The above system was modelled and found to have the transfer function R(s) C(s) s' +8s² +6s +12K 12K i) Use the Routh Array to determine the range of gains K for which the system is stable. ii) Find the steady-state output R(t) if K=5 and the input is a ramp of slope 2. You are given the final value theorem : y(t), . = s.y(s)20
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