PLEASE HELP R(s)Figure 3P-30H(s)N(s)Ge(s)Y(s) 3-30. Figure 3P-30 shows the block diagram of a control system with conditional feedback. Thetransfer function G,(s) denotes the controlled process, and Ge(s) and H(s) are the controller transferfunctions.(a) Derive the transfer functions Y(s)/R(s) and Y(s)/N(s) |-o Find Y(s)/R(s)|N=0 whenGe(s) = Gp(s).(b) LetH(s)Gp(s) = Ge(s)Find the output response y(1) when N(s) - 0 and r(t)-u, (t).(c) With G,(s) and Ge(s) as given in part (b), select H(s) among the following choices such thatwhen n(t)= u(t) and r(t) = 0, the steady-state value of y(t) is equal to zero. (There may be morethan one answer.)H(s) :10s(s+1)10(s + 1)8+2100(3+1)(5+5)H(s) ==10(8+1)(s+2)K= (n= positive integer) Select n.Keep in mind that the poles of the closed-loop transfer function must all be in the left-halfs-plane for the final-value theorem to be valid.

Answered: 3-30. Figure 3P-30 shows the block…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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PLEASE HELP

3-30. Figure 3P-30 shows the block diagram of a control system with conditional feedback. The
transfer function G,(s) denotes the controlled process, and Ge(s) and H(s) are the controller transfer
functions.
(a) Derive the transfer functions Y(s)/R(s) and Y(s)/N(s) |-o Find Y(s)/R(s)|N=0 when
Ge(s) = Gp(s).
(b) Let
H(s)
Gp(s) = Ge(s)
Find the output response y(1) when N(s) - 0 and r(t)-u, (t).
(c) With G,(s) and Ge(s) as given in part (b), select H(s) among the following choices such that
when n(t)= u(t) and r(t) = 0, the steady-state value of y(t) is equal to zero. (There may be more
than one answer.)
H(s) :
10
s(s+1)
10(s + 1)
8+2
100
(3+1)(5+5)
H(s) =
=
10
(8+1)(s+2)
K
= (n= positive integer) Select n.
Keep in mind that the poles of the closed-loop transfer function must all be in the left-half
s-plane for the final-value theorem to be valid.

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This question contains a block diagram with conditional feedback with transfer function Gp(s) for the controlled process, Gc(s) and H(s) are controller transfer functions. It involves finding of output response y(t) for different inputs n(t) and r(t) given.

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