Electronics and Communication Engineering - Automatic Control Systems - Discussion
Discussion Forum : Automatic Control Systems - Section 2 (Q.No. 35)
35.
For a first order system having transfer function 
, the unit ramp response is
, the unit ramp response isAnswer: Option
Explanation:
.
Discussion:
1 comments Page 1 of 1.
Rathi said:
1 decade ago
Transfer Function Y(s)/R(s) = 1/(1+sT).
Response of the first order system to a unit ramp is:
Y(s) = (1/(1+sT)).(1/s2) = 1/s2 - T/s + T2/(1+Ts).
Inverse Laplace transform leads to:
y(t) = t - T + Te-t/T.
Response of the first order system to a unit ramp is:
Y(s) = (1/(1+sT)).(1/s2) = 1/s2 - T/s + T2/(1+Ts).
Inverse Laplace transform leads to:
y(t) = t - T + Te-t/T.
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