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  1. The transfer function of a closed loop system is 1/1 + sT. The input to this system is t u(t). The output would track this system, but the error would be—
    1. 0
    2. T2
    3. T
    4. T/2
Correct Option: C

Given that

C(s)
=
1
R(s)1 + sT

r(t) = tu(t)
then
R (s) = 1 s/2
E (s) = R (s) – C (s)
1
-
1
1
s2s2sT + 1

=
sT + 1 – 1
s2(sT + 1)

=
T
s(sT + 1)

ess = s → 0Lim . s. E (s)
= s → 0Lim s·
T
= T
s(sT + 1)



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