GATE EE 2020 Set 1 — Question 44
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Control Systems → System Modelling → First & Second-Order Response
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Question
Consider a permanent magnet dc (PMDC) motor which is initially at rest. At , a dc voltage of is applied to the motor. Its speed monotonically increases from to in and finally settles to . Assuming that the armature inductance of the motor is negligible, the transfer function for the motor is
Correct answer
(B) (2)/(0.5s+1)
Solution
Given:
Input voltage step .
Steady-state speed .
Steady-state gain .
The speed response of a first-order system is .
At , .
.
Since , we have .
The transfer function is .
Input voltage step .
Steady-state speed .
Steady-state gain .
The speed response of a first-order system is .
At , .
.
Since , we have .
The transfer function is .
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