Consider the plant with the following transfer function G(s) = 1 (s+3)(s+6) Consider a unity feedback control system. Synthesize a controller C(s) such that the closed-loop polynomial is Acr(s) = (s + 2)²(s+8)² and the steady-state error to a unit step input is zero. O O O O C(s) = C(s) = C(s) = C(s) = C(s) = ²+122s+256 s(s+17) 15²-13-14 s(+11) 55+498+1024 *(x+15) 15+122s+256 a(+11) 87+778+1600 als+19)

Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
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Question 4

Consider
the plant with the following transfer function
1
G(s)=
(s + 3) (s + 6)
Consider a unity feedback control system. Synthesize a controller C(s) such that the closed-loop polynomial is Arr(s) = (s + 2)²(s+8) 2 and the steady-state error to a unit step input is zero.
O
O
O
C(s)
C(s) =
C(s)
=
C(s)
=
=
C(s) =
s²+122s+256
s(s+17)
15s²-13-14
s(s+11)
55s²+498s+1024
(.+15)
15s²+122s+256
s(s+11)
87s²+778s+1600
s(s+19)
Transcribed Image Text:Consider the plant with the following transfer function 1 G(s)= (s + 3) (s + 6) Consider a unity feedback control system. Synthesize a controller C(s) such that the closed-loop polynomial is Arr(s) = (s + 2)²(s+8) 2 and the steady-state error to a unit step input is zero. O O O C(s) C(s) = C(s) = C(s) = = C(s) = s²+122s+256 s(s+17) 15s²-13-14 s(s+11) 55s²+498s+1024 (.+15) 15s²+122s+256 s(s+11) 87s²+778s+1600 s(s+19)
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