R(S) Consider the closed-loop system in the following figure, where G(s) : Y(s) a) Determine the closed-loop transfer function T(s) : = R(s)* b) Determine the steady-state error of the closed-loop system response to a unit ramp input, R(S) == /2. c) Select a value for ka so that the steady-state error of the system response to a unit step input R(s) = ¹, is zero. S s+1 5² +35 Ka S+1 s²+3s Y(s) and H(s) = Ka.
R(S) Consider the closed-loop system in the following figure, where G(s) : Y(s) a) Determine the closed-loop transfer function T(s) : = R(s)* b) Determine the steady-state error of the closed-loop system response to a unit ramp input, R(S) == /2. c) Select a value for ka so that the steady-state error of the system response to a unit step input R(s) = ¹, is zero. S s+1 5² +35 Ka S+1 s²+3s Y(s) and H(s) = Ka.
Introductory Circuit Analysis (13th Edition)
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Transcribed Image Text:Consider the closed-loop system in the following figure, where G(s)
a) Determine the closed-loop transfer function T(s) =
=
Y(s)
R(s)*
b) Determine the steady-state error of the closed-loop system response to a unit ramp input,
=
S
R(S) == /2²
c) Select a value for ka so that the steady-state error of the system response to a unit step input
1
R(s)
"
is zero.
R(S)
=
s+1
5² +35
Ka
s+1
s²+3s
and H(s) = Ka.
Y(s)
Expert Solution
Step 1
Given a closed loop system
where G(s)= and H(s)=
(a) To determine the closed loop transfer function T(s)=
(b) To determine the steady state error of the closed loop system response to a unit ramp input R(s)=1/s2.
(c) To select a value of K so that the steady state error of the system response to a unit step input R(s)=1/s is zero
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