Consider the closed-loop control system in Figure 5.42 for Problems 6and 7 with L(s) = Gc(s)G(s) = s(s +3) Controller Process R(s) G,(s) G(s) Y(s) Figure 5.42 Block diagram for the Skills Check. 6. The steady-state error to a unit step input R(s) = 1/s is: lim e(t) = 1 lim e(t) = 1/2 %3D a. ess = t+00 b. ess || t+00 lim e(t) = 1/6 lim e(t) = o C. ess = d. ess = t+00 7. The percent overshoot of the output to a unit step input is: а. Р.О.3D 9% b. Р.О.3D 1% с. Р.О.3D 20% d. No overshoot

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Consider the closed-loop control system in Figure 5.42 for Problems 6and 7 with
L(s) = Gc(s)G(s) =
s(s +3)
Controller
Process
R(s)
G,(s)
G(s)
Y(s)
Figure 5.42 Block diagram for the Skills Check.
6. The steady-state error to a unit step input R(s) = 1/s is:
lim e(t) = 1
lim e(t) = 1/2
%3D
a. ess =
t+00
b. ess
||
t+00
lim e(t) = 1/6
lim e(t) = o
C. ess =
d. ess =
t+00
7. The percent overshoot of the output to a unit step input is:
а. Р.О.3D 9%
b. Р.О.3D 1%
с. Р.О.3D 20%
d. No overshoot
Transcribed Image Text:Consider the closed-loop control system in Figure 5.42 for Problems 6and 7 with L(s) = Gc(s)G(s) = s(s +3) Controller Process R(s) G,(s) G(s) Y(s) Figure 5.42 Block diagram for the Skills Check. 6. The steady-state error to a unit step input R(s) = 1/s is: lim e(t) = 1 lim e(t) = 1/2 %3D a. ess = t+00 b. ess || t+00 lim e(t) = 1/6 lim e(t) = o C. ess = d. ess = t+00 7. The percent overshoot of the output to a unit step input is: а. Р.О.3D 9% b. Р.О.3D 1% с. Р.О.3D 20% d. No overshoot
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